Details

Time bar (total: 32.7s)

analyze20.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
0%12.5%87.5%2
0%6.3%93.7%3
0%3.1%96.9%4
0%1.6%98.4%5
0%0.8%99.2%6
0%0.8%99.2%7
0.2%0.6%99.2%8
0.2%0.6%99.2%9
0.2%0.1%99.7%10
0.2%0.1%99.7%11
0.2%0%99.8%12
Compiler

Compiled 98 to 86 computations (12.2% saved)

sample4.6s (14.2%)

Results
3.9s8256×body256valid
768.0ms1613×body256invalid

preprocess53.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
867×times-frac_binary64
687×fma-def_binary64
653×associate-*l/_binary64
647×associate-*r/_binary64
337×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056110
1145101
246599
3303399
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (exp.f64 (+.f64 z 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify31.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
867×times-frac_binary64
687×fma-def_binary64
653×associate-*l/_binary64
647×associate-*r/_binary64
337×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056110
1145101
246599
3303399
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (exp.f64 (+.f64 z 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))

eval3.0ms (0%)

Compiler

Compiled 160 to 137 computations (14.4% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
3.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Compiler

Compiled 161 to 139 computations (13.7% saved)

localize269.0ms (0.8%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
✓0.9b
(exp.f64 (+.f64 z 13/2))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.0b
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
✓1.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Compiler

Compiled 407 to 330 computations (18.9% saved)

series14.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@0
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
3.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
0.0ms
z
@0
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
0.0ms
z
@inf
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

rewrite128.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
646×add-log-exp_binary64
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
644×add-cbrt-cube_binary64
644×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053137
11326137
Stop Event
1×node limit
Counts
4 → 37
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(exp.f64 (+.f64 z 13/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))))

simplify59.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
903×fma-def_binary64
613×associate-/r*_binary64
552×associate-/l*_binary64
421×associate-*l/_binary64
412×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01791755
15781645
221521430
Stop Event
1×node limit
Counts
73 → 80
Calls
Call 1
Inputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 373870182501661212981625127/344531250000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -541338218559767156914609007209/463050000000000000000000000 (sqrt.f64 2/13)))))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 2255067893739617/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2)))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 25100247618054625277/20000000000000000)
(-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)
(-.f64 (+.f64 (*.f64 -16114480505391018459/12800000000000000 (pow.f64 z 2)) (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 25100247618054625277/20000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 6618885776646327/6250000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 6618885776646327/6250000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z))))
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
Outputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 13/2) z)))
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 (PI.f64)) z)))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(fma.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 13/2) z)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (fma.f64 6765203681218851/10000000000000 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2/13) -487331279103252896793517613/525000000000000000000000))) (exp.f64 13/2)) (*.f64 -6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (*.f64 (log.f64 13/2) 6765203681218851/10000000000000) -6765203681218851/130000000000000) -487331279103252896793517613/525000000000000000000000))) (*.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) -6765203681218851/10000000000000))))
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(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 13/2 z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 (/.f64 (*.f64 611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) z))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 13/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (/.f64 (sqrt.f64 2) z) z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (/.f64 (sqrt.f64 2) z) z))))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z))))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (/.f64 (sqrt.f64 2) z) z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 13/2 z)))) (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (sqrt.f64 2)) (pow.f64 z 3)))) (fma.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (/.f64 (sqrt.f64 2) z) z)) (exp.f64 (+.f64 13/2 z))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 25100247618054625277/20000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -25100247618054625277/20000000000000000)
(-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)
(+.f64 (fma.f64 4026744024855951579/3200000000000000 z (/.f64 6765203681218851/10000000000000 z)) -25100247618054625277/20000000000000000)
(+.f64 (fma.f64 z 4026744024855951579/3200000000000000 (/.f64 6765203681218851/10000000000000 z)) -25100247618054625277/20000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 4026744024855951579/3200000000000000 -25100247618054625277/20000000000000000))
(-.f64 (+.f64 (*.f64 -16114480505391018459/12800000000000000 (pow.f64 z 2)) (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 25100247618054625277/20000000000000000)
(+.f64 (fma.f64 -16114480505391018459/12800000000000000 (*.f64 z z) (fma.f64 4026744024855951579/3200000000000000 z (/.f64 6765203681218851/10000000000000 z))) -25100247618054625277/20000000000000000)
(+.f64 (fma.f64 (*.f64 z z) -16114480505391018459/12800000000000000 (fma.f64 z 4026744024855951579/3200000000000000 (/.f64 6765203681218851/10000000000000 z))) -25100247618054625277/20000000000000000)
(+.f64 (fma.f64 z 4026744024855951579/3200000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 (*.f64 -16114480505391018459/12800000000000000 z) z -25100247618054625277/20000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 114022301064366159/200000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (/.f64 114022301064366159/200000000000000 z)))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (/.f64 114022301064366159/200000000000000 z)))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 6618885776646327/6250000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 60455492180382759/50000000000000 (*.f64 z z))) (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3))))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 (/.f64 -114022301064366159/200000000000000 z) (/.f64 -6618885776646327/6250000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 114022301064366159/200000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (/.f64 114022301064366159/200000000000000 z)))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (/.f64 114022301064366159/200000000000000 z)))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 6618885776646327/6250000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 60455492180382759/50000000000000 (*.f64 z z))) (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3))))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 (/.f64 -114022301064366159/200000000000000 z) (/.f64 -6618885776646327/6250000000000 (pow.f64 z 3)))))
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(*.f64 (+.f64 z 1) (exp.f64 13/2))
(fma.f64 (exp.f64 13/2) z (exp.f64 13/2))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z))))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3)) (*.f64 (exp.f64 13/2) z))))
(+.f64 (fma.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3)) (*.f64 (exp.f64 13/2) z)) (fma.f64 (*.f64 (exp.f64 13/2) 1/2) (*.f64 z z) (exp.f64 13/2)))
(fma.f64 (exp.f64 13/2) (*.f64 (*.f64 z z) 1/2) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/6 (pow.f64 z 3)))))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))

localize255.0ms (0.8%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))
0.0b
(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))
✓0.9b
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
✓1.9b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
Compiler

Compiled 605 to 524 computations (13.4% saved)

series20.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
13.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
2.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))

rewrite66.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
328×add-sqr-sqrt_binary64
310×add-log-exp_binary64
309×pow1_binary64
309×log1p-expm1-u_binary64
309×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02765
165458
Stop Event
1×node limit
Counts
3 → 90
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 1/2) (exp.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z -1)) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z 6)) (exp.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))) 2) (cbrt.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (sqrt.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (+.f64 z -1) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 z -1) 15/2)) 2)) (cbrt.f64 (+.f64 (+.f64 z -1) 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (+.f64 z -1) 15/2))) (sqrt.f64 (+.f64 (+.f64 z -1) 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))))))

simplify60.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
803×fma-def_binary64
623×associate-*l*_binary64
567×associate-*r*_binary64
493×fma-neg_binary64
317×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120938
1377831
21305762
36921761
Stop Event
1×node limit
Counts
126 → 125
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(exp.f64 -13/2)
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 -13/2)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -13/2)) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 -13/2)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13)))))))
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(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 -5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z)))
(exp.f64 -13/2)
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))
(-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (fma.f64 -1 z 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 1/2 (*.f64 (exp.f64 -13/2) (*.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2)))
(+.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 z))))
(fma.f64 (exp.f64 -13/2) (-.f64 (*.f64 1/2 (*.f64 z z)) z) (exp.f64 -13/2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -1/6 (*.f64 (exp.f64 -13/2) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (exp.f64 -13/2) (*.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))))
(+.f64 (-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z)) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 1/2 (*.f64 z z)))))
(fma.f64 (exp.f64 -13/2) (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) 1/2)) (*.f64 (exp.f64 -13/2) (fma.f64 -1 z 1)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))

eval551.0ms (1.7%)

Compiler

Compiled 19321 to 16571 computations (14.2% saved)

prune448.0ms (1.4%)

Pruning

53 alts after pruning (52 fresh and 1 done)

PrunedKeptTotal
New16452216
Fresh000
Picked101
Done011
Total16553218
Error
2.3b
Counts
218 → 53
Alt Table
Click to see full alt table
StatusErrorProgram
4.1b
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) 1)
▶53.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.2b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))
34.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
▶4.2b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
55.0b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)))) (pow.f64 z 3)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
▶4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.0b
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.6b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
54.0b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
56.1b
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
56.1b
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.6b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
34.7b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.0b
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))
4.2b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
49.5b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
5.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
4.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z 13/2)))))
10.4b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
5.5b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
55.6b
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 (PI.f64)) z)))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Compiler

Compiled 9774 to 8453 computations (13.5% saved)

localize260.0ms (0.8%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))
0.0b
(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))
✓0.9b
(exp.f64 (-.f64 -13/2 z))
✓1.0b
(sqrt.f64 (PI.f64))
1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
✓1.9b
(*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
Compiler

Compiled 558 to 474 computations (15.1% saved)

series19.0ms (0.1%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
15.0ms
z
@0
(*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
1.0ms
z
@-inf
(*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
1.0ms
z
@inf
(*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
1.0ms
z
@0
(exp.f64 (-.f64 -13/2 z))
1.0ms
z
@-inf
(exp.f64 (-.f64 -13/2 z))

rewrite76.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
836×log-prod_binary64
311×expm1-udef_binary64
311×log1p-udef_binary64
267×log-pow_binary64
256×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
136137
2463837
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(sqrt.f64 (PI.f64))
(exp.f64 (-.f64 -13/2 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z)))) (cbrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -13/2) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -13/2) (/.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -13/2)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 -13/2 z))) (sqrt.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 -13/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -13/2 z) 2))) (cbrt.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z))))))))

simplify58.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
734×fma-def_binary64
613×associate-*l*_binary64
551×associate-*r*_binary64
421×fma-neg_binary64
384×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092800
1301693
21121624
36378621
Stop Event
1×node limit
Counts
95 → 92
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(exp.f64 -13/2)
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2/13) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
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(fma.f64 (exp.f64 -13/2) (fma.f64 z (*.f64 z 1/2) (neg.f64 z)) (exp.f64 -13/2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -1/6 (*.f64 (exp.f64 -13/2) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (exp.f64 -13/2) (*.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))))
(+.f64 (-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z)) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 1/2 (*.f64 z z)))))
(fma.f64 (exp.f64 -13/2) (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) 1/2)) (*.f64 (exp.f64 -13/2) (fma.f64 -1 z 1)))
(+.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) 1/2)) z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))

localize188.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))
0.2b
(/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))
0.2b
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
✓0.5b
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
0.9b
(exp.f64 (+.f64 z 13/2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Compiler

Compiled 270 to 219 computations (18.9% saved)

series11.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0ms
z
@0
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
2.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
0.0ms
z
@inf
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
0.0ms
z
@-inf
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))

rewrite64.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
504×add-sqr-sqrt_binary64
480×add-log-exp_binary64
479×log1p-expm1-u_binary64
479×expm1-log1p-u_binary64
478×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04082
198882
Stop Event
1×node limit
Counts
2 → 16
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))))

simplify65.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
934×fma-def_binary64
921×times-frac_binary64
567×associate-/r*_binary64
512×associate-/l*_binary64
302×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01811681
15661573
221061362
Stop Event
1×node limit
Counts
40 → 50
Calls
Call 1
Inputs
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 3) (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -895138868188656214215156909521/19448100000000000000000000000 (sqrt.f64 2/13)) (+.f64 (*.f64 41615703160647772572887086541/463050000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))))))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 172075220870680916925232387/3150000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
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(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (*.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (*.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(/.f64 -883075145810703/5000000000000 z)
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(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
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(/.f64 -883075145810703/5000000000000 z)
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Outputs
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(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))) 9999999999998099/10000000000000000) (exp.f64 (+.f64 13/2 z)))
(+.f64 (*.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(fma.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) z)) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(+.f64 (*.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -25302724388817904553048753/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))))
(fma.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (fma.f64 -25302724388817904553048753/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))))
(fma.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 13/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 -25302724388817904553048753/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z)))) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (*.f64 -25302724388817904553048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (*.f64 z z)))))))
(+.f64 (*.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -25302724388817904553048753/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 37307363552115230198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))))
(fma.f64 37307363552115230198405471/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (fma.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (fma.f64 -25302724388817904553048753/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 -25302724388817904553048753/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z)))) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 37307363552115230198405471/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (pow.f64 z 3)))) (*.f64 14864245966379490785362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) z))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (*.f64 -25302724388817904553048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (*.f64 z z))))) (fma.f64 37307363552115230198405471/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (pow.f64 z 3))) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000)
(fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000)
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (*.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(+.f64 (*.f64 (*.f64 z z) -294358381936901/45000000000000) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000))
(fma.f64 (*.f64 z z) -294358381936901/45000000000000 (fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000))
(fma.f64 z 294358381936901/15000000000000 (fma.f64 z (*.f64 z -294358381936901/45000000000000) -294358381936901/5000000000000))
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (*.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(+.f64 (fma.f64 -294358381936901/45000000000000 (*.f64 z z) (fma.f64 294358381936901/15000000000000 z (*.f64 (pow.f64 z 3) 294358381936901/135000000000000))) -294358381936901/5000000000000)
(+.f64 (fma.f64 (*.f64 z z) -294358381936901/45000000000000 (fma.f64 z 294358381936901/15000000000000 (*.f64 (pow.f64 z 3) 294358381936901/135000000000000))) -294358381936901/5000000000000)
(fma.f64 z (*.f64 z -294358381936901/45000000000000) (fma.f64 z 294358381936901/15000000000000 (fma.f64 (pow.f64 z 3) 294358381936901/135000000000000 -294358381936901/5000000000000)))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z))
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))
(-.f64 (+.f64 (*.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (-.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z))
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))
(-.f64 (+.f64 (*.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (-.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))))

localize375.0ms (1.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
0.2b
(-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))
0.0b
(/.f64 z -3147848041806007/2500000000000)
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
✓1.0b
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.9b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
Compiler

Compiled 761 to 622 computations (18.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))
1.0ms
z
@inf
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))
0.0ms
z
@-inf
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))

rewrite147.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
625×fma-def_binary64
341×expm1-udef_binary64
341×log1p-udef_binary64
308×fma-neg_binary64
257×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01728
141024
2556722
Stop Event
1×node limit
Counts
1 → 61
Calls
Call 1
Inputs
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))
Outputs
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(pow.f64 z -2) 99999999999961980000000003613801/100000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z -2500000000000/3147848041806007 -2500000000000/3147848041806007) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z -2) 99999999999961980000000003613801/100000000000000000000000000000000) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z -2) 99999999999961980000000003613801/100000000000000000000000000000000) (fma.f64 z -2500000000000/3147848041806007 -2500000000000/3147848041806007) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z -2) 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simplify65.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
591×distribute-neg-frac_binary64
466×div-sub_binary64
434×unswap-sqr_binary64
385×associate-/r*_binary64
363×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023150
159136
2121136
3245136
4507136
51238136
64728136
77469136
Stop Event
1×node limit
Counts
73 → 75
Calls
Call 1
Inputs
(/.f64 45767980848377092942628957760201/125913921672240280000000000000 (pow.f64 z 2))
(-.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z)
(+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z)) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z)
(+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z)) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
Outputs
(/.f64 45767980848377092942628957760201/125913921672240280000000000000 (pow.f64 z 2))
(/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z))
(-.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(-.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z))
(+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (/.f64 -39415351792997107601807255991627/125913921672240280000000000000 z))
(*.f64 (/.f64 1 z) (-.f64 -39415351792997107601807255991627/125913921672240280000000000000 (/.f64 -45767980848377092942628957760201/125913921672240280000000000000 z)))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z)))
(+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (-.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z)))
(-.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (-.f64 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z) 125813921672216381783490107119158199/125913921672240280000000000000000000))
(+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 -39415351792997107601807255991627/125913921672240280000000000000 z)))
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
(+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (-.f64 (+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (*.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000)) (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z)))
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(+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (+.f64 (fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 125813921672216381783490107119158199/125913921672240280000000000000000000) (/.f64 -39415351792997107601807255991627/125913921672240280000000000000 z)))
(+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 (-.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z))))
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(fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 125813921672216381783490107119158199/125913921672240280000000000000000000)
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z)) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
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(fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 (-.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z)))
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(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
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(+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 (/.f64 -39415351792997107601807255991627/125913921672240280000000000000 z))))
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(+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 (-.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z))))
(*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z)
(*.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000)
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(+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000))
(fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 125813921672216381783490107119158199/125913921672240280000000000000000000)
(-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z)) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z)))
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localize359.0ms (1.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))
0.1b
(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.0b
(pow.f64 z 3)
0.9b
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.0b
(+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))
1.9b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
Compiler

Compiled 878 to 741 computations (15.6% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))
1.0ms
z
@0
(+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))
1.0ms
z
@-inf
(+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))

rewrite103.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
403×expm1-udef_binary64
403×log1p-udef_binary64
242×add-sqr-sqrt_binary64
232×add-cbrt-cube_binary64
230×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02135
150031
2676331
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))
Outputs
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99999999999961980000000003613801/100000000000000000000000000000000))) (sqrt.f64 (*.f64 -3147848041806007/2500000000000 (fma.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 z) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000))) (*.f64 (+.f64 z 1) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3147848041806007/2500000000000 (fma.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 z) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000) (*.f64 (+.f64 z 1) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3147848041806007/2500000000000 (fma.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 z) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000) (*.f64 (+.f64 z 1) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))))))

simplify57.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
585×distribute-neg-frac_binary64
536×unswap-sqr_binary64
453×associate-/r/_binary64
343×div-sub_binary64
320×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030150
186150
2197150
3428150
41082150
53803150
67533150
Stop Event
1×node limit
Counts
51 → 54
Calls
Call 1
Inputs
(/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))
(-.f64 (*.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
Outputs
(/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))
(-.f64 (*.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z))
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z)))
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (-.f64 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (-.f64 (/.f64 -212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z))))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(*.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(*.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(-.f64 (+.f64 (*.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))

localize206.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (+.f64 z 13/2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.0b
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
✓1.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
Compiler

Compiled 478 to 387 computations (19% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
1.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
1.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))

rewrite53.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
663×add-log-exp_binary64
662×log1p-expm1-u_binary64
662×expm1-log1p-u_binary64
661×add-cbrt-cube_binary64
660×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05699
1138199
Stop Event
1×node limit
Counts
1 → 6
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))))

simplify46.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
582×associate-*l*_binary64
558×associate-/r*_binary64
543×associate-/l*_binary64
422×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01431497
14741391
218761183
Stop Event
1×node limit
Counts
18 → 26
Calls
Call 1
Inputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 373870182501661212981625127/344531250000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -541338218559767156914609007209/463050000000000000000000000 (sqrt.f64 2/13)))))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 2255067893739617/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2)))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
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Outputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 (PI.f64)) z)))
(/.f64 (*.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) (sqrt.f64 2)) (/.f64 (*.f64 (exp.f64 13/2) z) (sqrt.f64 (PI.f64))))
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eval1.5s (4.6%)

Compiler

Compiled 60934 to 51596 computations (15.3% saved)

prune679.0ms (2.1%)

Pruning

96 alts after pruning (93 fresh and 3 done)

PrunedKeptTotal
New56462626
Fresh163147
Picked011
Done325
Total58396679
Error
1.9b
Counts
679 → 96
Alt Table
Click to see full alt table
StatusErrorProgram
▶4.1b
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4.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
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4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) 1)
✓53.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.2b
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 z (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))))))) (*.f64 (*.f64 z z) (+.f64 (+.f64 (fma.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (log.f64 13/2) -477386420770840464777858359/2756250000000000000000000 477386420770840464777858359/35831250000000000000000000) (fma.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 41615703160647772572887086541/463050000000000000000000000))) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000)))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/1050000000000000000000000)) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) 172075220870680916925232387/1050000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (fma.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197)) -7055084055697917593934527867/1730137500000000000000000000)) (+.f64 -895138868188656214215156909521/19448100000000000000000000000 (fma.f64 (log.f64 13/2) 41615703160647772572887086541/463050000000000000000000000 -41615703160647772572887086541/6019650000000000000000000000))))))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) 172075220870680916925232387/450000000000000000000000 (fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))))) 1/2 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (log.f64 13/2) -477386420770840464777858359/2756250000000000000000000 477386420770840464777858359/35831250000000000000000000) (fma.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 41615703160647772572887086541/463050000000000000000000000))))))) z)))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.2b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (*.f64 (exp.f64 z) (exp.f64 13/2)))))))
34.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
10.8b
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) 1/3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.4b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -13/2 z) 2))) (cbrt.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 (-.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z)))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.2b
(+.f64 (*.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 3) (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -895138868188656214215156909521/19448100000000000000000000000 (sqrt.f64 2/13)) (+.f64 (*.f64 41615703160647772572887086541/463050000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))))))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 172075220870680916925232387/3150000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))))
4.9b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 1) (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
53.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
55.2b
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 z (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (exp.f64 13/2)) (sqrt.f64 2/13))) (*.f64 z (*.f64 z (+.f64 (fma.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (log.f64 13/2) -477386420770840464777858359/2756250000000000000000000 477386420770840464777858359/35831250000000000000000000) (fma.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 41615703160647772572887086541/463050000000000000000000000))) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000)))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/1050000000000000000000000))))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.0b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)))) (pow.f64 z 3)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.5b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z -2500000000000/3147848041806007 -2500000000000/3147848041806007) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z -2) 99999999999961980000000003613801/100000000000000000000000000000000) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 z)))) 3) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶57.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
55.8b
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 z (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (exp.f64 13/2)) (sqrt.f64 2/13))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.6b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.8b
(+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))
4.4b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z))) 1/3) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
56.1b
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (exp.f64 13/2)) (sqrt.f64 2/13)))
4.0b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
5.2b
(*.f64 (exp.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.6b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
55.6b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
▶13.5b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
4.9b
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
34.7b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.0b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)))) (pow.f64 z 3)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.0b
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
10.4b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.0b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)))) (pow.f64 z 3)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
49.5b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
53.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
✓4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.6b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
5.0b
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
5.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
10.4b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
55.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
5.4b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 2) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Compiler

Compiled 18399 to 16059 computations (12.7% saved)

localize368.0ms (1.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
0.1b
(/.f64 -3147848041806007/2500000000000 (-.f64 z -1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (-.f64 -13/2 z))
1.0b
(sqrt.f64 (PI.f64))
✓1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
1.9b
(*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
Compiler

Compiled 521 to 436 computations (16.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
0.0ms
z
@-inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))

rewrite79.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
990×prod-diff_binary64
466×fma-def_binary64
239×fma-neg_binary64
236×log-div_binary64
230×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
126516
2377016
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
Outputs
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simplify40.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
737×distribute-neg-frac_binary64
536×unswap-sqr_binary64
427×fma-def_binary64
400×associate-/r*_binary64
390×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034138
195138
2215138
3507135
41375135
55100135
Stop Event
1×node limit
Counts
89 → 91
Calls
Call 1
Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000))
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -12581392167224029901/10000000000000000))
(fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) -12581392167224029901/10000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3147848041806007/2500000000000 z) z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3147848041806007/2500000000000 z) z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))

localize112.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))
0.2b
(/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))
0.2b
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
✓0.5b
(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.9b
(exp.f64 (+.f64 z 13/2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Compiler

Compiled 249 to 203 computations (18.5% saved)

series9.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
z
@0
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
2.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
2.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
0.0ms
z
@inf
(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms
z
@0
(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

rewrite89.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
465×add-sqr-sqrt_binary64
443×add-log-exp_binary64
442×log1p-expm1-u_binary64
442×expm1-log1p-u_binary64
441×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037109
1912109
Stop Event
1×node limit
Counts
2 → 17
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (cbrt.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) 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simplify73.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
952×fma-def_binary64
921×times-frac_binary64
558×associate-/r*_binary64
514×associate-/l*_binary64
306×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01711643
15571547
221231321
Stop Event
1×node limit
Counts
41 → 51
Calls
Call 1
Inputs
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
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(*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -38548851575978449553048753/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))))
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(*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
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172075220870680916925232387/525000000000000000000000
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(-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000)
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(-.f64 (+.f64 (*.f64 77045745113596865198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))) (+.f64 578716763873803901/10000000000000000 (*.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
Outputs
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64))))))
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(-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) (+.f64 578716763873803901/10000000000000000 (*.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z)))
(-.f64 (+.f64 (*.f64 77045745113596865198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))) (+.f64 578716763873803901/10000000000000000 (*.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3))) (+.f64 578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z)))))

localize233.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (+.f64 z 13/2))
✓1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
✓1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
✓1.9b
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
Compiler

Compiled 486 to 395 computations (18.7% saved)

series5.0ms (0%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
1.0ms
z
@-inf
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
1.0ms
z
@inf
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
0.0ms
z
@0
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
0.0ms
z
@-inf
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

rewrite67.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
644×add-log-exp_binary64
643×log1p-expm1-u_binary64
643×expm1-log1p-u_binary64
642×add-cbrt-cube_binary64
642×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053122
11324122
Stop Event
1×node limit
Counts
3 → 29
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(sqrt.f64 (*.f64 2 (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))))

simplify76.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
810×fma-def_binary64
607×associate-/r*_binary64
545×associate-/l*_binary64
425×associate-*r/_binary64
424×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691635
15491529
220571322
Stop Event
1×node limit
Counts
53 → 63
Calls
Call 1
Inputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 373870182501661212981625127/344531250000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -541338218559767156914609007209/463050000000000000000000000 (sqrt.f64 2/13)))))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 2255067893739617/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2)))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
Outputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(/.f64 (*.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (/.f64 z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(fma.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (fma.f64 6765203681218851/10000000000000 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2/13) -487331279103252896793517613/525000000000000000000000))) (exp.f64 13/2)) (*.f64 -6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 2)) (/.f64 z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 -487331279103252896793517613/525000000000000000000000 (+.f64 (*.f64 (log.f64 13/2) 6765203681218851/10000000000000) -6765203681218851/130000000000000)))) (*.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) -6765203681218851/10000000000000))))
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(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (sqrt.f64 2) (*.f64 z z)))))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
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(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
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(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000))
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
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(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
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(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
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localize248.0ms (0.8%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
0.1b
(/.f64 1 (-.f64 z -1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (-.f64 -13/2 z))
1.0b
(sqrt.f64 (PI.f64))
✓1.1b
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
1.9b
(*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
Compiler

Compiled 502 to 419 computations (16.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
0.0ms
z
@inf
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
0.0ms
z
@-inf
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))

rewrite55.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
480×log-prod_binary64
314×pow2_binary64
266×pow-prod-down_binary64
218×expm1-udef_binary64
218×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01217
126516
2321316
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
Outputs
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((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 2)) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 2) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z))) (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))))

simplify47.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
737×distribute-neg-frac_binary64
536×unswap-sqr_binary64
427×fma-def_binary64
400×associate-/r*_binary64
390×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034138
195138
2215138
3507135
41375135
55100135
Stop Event
1×node limit
Counts
47 → 49
Calls
Call 1
Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000))
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -12581392167224029901/10000000000000000))
(fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) -12581392167224029901/10000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3147848041806007/2500000000000 z) z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 5826188486005177/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3147848041806007/2500000000000 z) z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))

localize406.0ms (1.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))
0.0b
(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
✓3.3b
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))
✓8.3b
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3)))
Compiler

Compiled 605 to 517 computations (14.5% saved)

series25.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
9.0ms
z
@0
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))
7.0ms
z
@-inf
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))
6.0ms
z
@inf
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))
1.0ms
z
@0
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3)))
1.0ms
z
@inf
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3)))

rewrite100.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
360×expm1-udef_binary64
360×log1p-udef_binary64
320×log-pow_binary64
271×fma-def_binary64
214×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02057
145657
2545957
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3)))
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) 3) (pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3)))))))

simplify177.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
536×associate-+r+_binary64
530×associate-+l+_binary64
471×fma-neg_binary64
316×associate-*l*_binary64
297×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842138
16381908
230431609
374541609
Stop Event
1×node limit
Counts
70 → 68
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 2/13 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2/13) (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (+.f64 (*.f64 2/13 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 2/13))) (*.f64 (+.f64 (*.f64 2/13 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 3)))) (pow.f64 (exp.f64 -13/2) 3))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3))) (*.f64 2/13 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2/13) (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (+.f64 (*.f64 2/13 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 2/13))) (*.f64 (+.f64 (*.f64 2/13 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 3)))) (pow.f64 (exp.f64 -13/2) 3))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 2/13 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2) (pow.f64 (sqrt.f64 2/13) 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2) (pow.f64 (sqrt.f64 2/13) 2)) (*.f64 2 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (pow.f64 (sqrt.f64 2/13) 2)))) (sqrt.f64 2/13)))) (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (+.f64 (*.f64 2/13 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 3))))) (*.f64 2/13 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 2/13))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (*.f64 2/13 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2/13) (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (+.f64 (*.f64 2/13 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 2/13))) (*.f64 (+.f64 (*.f64 2/13 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 3)))) (pow.f64 (exp.f64 -13/2) 3))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (+.f64 (*.f64 2/13 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2) (pow.f64 (sqrt.f64 2/13) 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2) (pow.f64 (sqrt.f64 2/13) 2)) (*.f64 2 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (pow.f64 (sqrt.f64 2/13) 2)))) (sqrt.f64 2/13))))) (+.f64 (*.f64 (+.f64 (*.f64 2/13 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (+.f64 (*.f64 2 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 2)))) (*.f64 2 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (pow.f64 (sqrt.f64 2/13) 2)))) (sqrt.f64 2/13)) (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2) (pow.f64 (sqrt.f64 2/13) 2)) (*.f64 2 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (pow.f64 (sqrt.f64 2/13) 2)))) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)))))) (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (*.f64 2/13 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (*.f64 -1/6 (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 2)) (*.f64 -1/3 (pow.f64 (exp.f64 -13/2) 2))) (exp.f64 -13/2)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))))) (sqrt.f64 2/13))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (+.f64 (*.f64 2/13 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 3)))))))) (pow.f64 z 3))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 2/13 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2) (pow.f64 (sqrt.f64 2/13) 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2) (pow.f64 (sqrt.f64 2/13) 2)) (*.f64 2 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (pow.f64 (sqrt.f64 2/13) 2)))) (sqrt.f64 2/13)))) (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (+.f64 (*.f64 2/13 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (pow.f64 (sqrt.f64 2/13) 3))))) (*.f64 2/13 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 2/13))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (*.f64 2/13 (*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2/13) (pow.f64 (exp.f64 -13/2) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) 3) (pow.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) 3) (pow.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) 3) (pow.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) 3) (pow.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))))
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13))) z)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z))) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (neg.f64 (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z)) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13))) z)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z))) (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (neg.f64 (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (log.f64 13/2) 1/2) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (pow.f64 z 3))))))
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(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) 3) (pow.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) 3) (pow.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) 3) (pow.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 3) (pow.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)) (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))

eval2.6s (8%)

Compiler

Compiled 53462 to 45420 computations (15% saved)

prune727.0ms (2.2%)

Pruning

121 alts after pruning (115 fresh and 6 done)

PrunedKeptTotal
New56066626
Fresh394988
Picked101
Done167
Total601121722
Error
0.3b
Counts
722 → 121
Alt Table
Click to see full alt table
StatusErrorProgram
4.3b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 2) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) 1)
✓53.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
✓4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
3.8b
(*.f64 (exp.f64 (*.f64 (*.f64 3 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) 1/3)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
10.8b
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) 1/3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (*.f64 (exp.f64 z) (exp.f64 13/2)))))))
4.5b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (/.f64 (fma.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 z 1) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
57.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
13.5b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
13.6b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 (-.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z)))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
13.5b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
10.4b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (exp.f64 (*.f64 2 (-.f64 -13/2 z)))))) (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
35.3b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
53.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
60.0b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
▶4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
57.7b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
5.2b
(*.f64 (exp.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓57.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
▶3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.4b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -13/2 z) 2))) (cbrt.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.2b
(*.f64 (exp.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.4b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z 13/2)))) 1)
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.9b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 1) (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
9.8b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
57.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
5.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.9b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
58.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
▶54.0b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
3.9b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (*.f64 (exp.f64 -13/2) (exp.f64 (neg.f64 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.9b
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
57.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
56.1b
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64))))))
4.5b
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
13.8b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
34.7b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))) 1)
4.1b
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
5.0b
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
10.8b
(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.9b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) 1) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
49.5b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))) 1)
53.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
✓4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
5.0b
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
6.5b
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3/2) 1/3)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
4.2b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
55.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
13.5b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.2b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.4b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶4.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.5b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -13/2 z) 2))) (cbrt.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z))) 1/3) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.2b
(pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 z 13/2))) 1)
4.3b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 2) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Compiler

Compiled 19837 to 17032 computations (14.1% saved)

localize237.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))
0.1b
(log.f64 (+.f64 z 13/2))
0.0b
(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))
✓0.7b
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)))
✓1.0b
(log.f64 (*.f64 2 (PI.f64)))
1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
✓2.6b
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
Compiler

Compiled 567 to 485 computations (14.5% saved)

series10.0ms (0%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
z
@inf
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)))
1.0ms
z
@0
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
0.0ms
z
@inf
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)))
0.0ms
z
@-inf
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)))

rewrite71.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
459×add-sqr-sqrt_binary64
436×add-log-exp_binary64
435×add-exp-log_binary64
433×add-cbrt-cube_binary64
433×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872
191272
Stop Event
1×node limit
Counts
3 → 28
Calls
Call 1
Inputs
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(log.f64 (*.f64 2 (PI.f64)))
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))) (cbrt.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))))) (cbrt.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))) (sqrt.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 (*.f64 2 (PI.f64)))) (log.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (log.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (cbrt.f64 (+.f64 (+.f64 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z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 z -3)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))))

simplify43.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
575×associate-+l+_binary64
467×associate-+r+_binary64
345×distribute-rgt-neg-out_binary64
341×associate-*l/_binary64
292×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089703
1230657
2597588
32835552
Stop Event
1×node limit
Counts
52 → 53
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2))
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 14/13) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) z)) (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)))
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 14/13) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) z)) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (pow.f64 z 2)))))
(+.f64 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (*.f64 (pow.f64 z 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 3)) (*.f64 27/169 (-.f64 (log.f64 13/2) 14/13))) 82/6591))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 14/13) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) z)) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (pow.f64 z 2))))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 9313491787209566401/10000000000000000)
(-.f64 (+.f64 (*.f64 130311870198853951/120000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 9313491787209566401/10000000000000000)
(-.f64 (+.f64 (*.f64 130311870198853951/120000000000000 z) (+.f64 (*.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 9313491787209566401/10000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (+.f64 (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (+.f64 (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))))
Outputs
(exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2))
(exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2))
(exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2)))
(*.f64 (pow.f64 13/2 -1/2) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 -13/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2)))
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 14/13) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) z)) (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)))
(fma.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2)) z) (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2)))
(fma.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))) z) (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))))
(*.f64 (+.f64 (*.f64 (+.f64 (log.f64 13/2) -14/13) z) 1) (*.f64 (pow.f64 13/2 -1/2) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 -13/2))))
(*.f64 (+.f64 (*.f64 (+.f64 (log.f64 13/2) -14/13) z) 1) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))))
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 14/13) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) z)) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (pow.f64 z 2)))))
(+.f64 (fma.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2)) z) (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2))) (*.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2))) (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2))) (*.f64 z z)))
(fma.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))) z) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))) (*.f64 z z)) (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2)))))
(fma.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (pow.f64 13/2 -1/2)) (exp.f64 -13/2) (*.f64 (*.f64 (pow.f64 13/2 -1/2) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 (log.f64 13/2) -14/13) z) (*.f64 z (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))) (+.f64 (*.f64 (+.f64 (log.f64 13/2) -14/13) z) (+.f64 (*.f64 z (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169))) 1)))
(+.f64 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (*.f64 (pow.f64 z 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 3)) (*.f64 27/169 (-.f64 (log.f64 13/2) 14/13))) 82/6591))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 14/13) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) z)) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 1/2 (log.f64 (*.f64 2 (PI.f64)))) (*.f64 -1/2 (log.f64 13/2))) 13/2)) (pow.f64 z 2))))))
(fma.f64 (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2)) (*.f64 (pow.f64 z 3) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 3) (*.f64 (+.f64 (log.f64 13/2) -14/13) 27/169)) -82/6591)) (+.f64 (fma.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2)) z) (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2))) (*.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2))) (exp.f64 (+.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (*.f64 -1/2 (log.f64 13/2))) -13/2))) (*.f64 z z))))
(fma.f64 (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))) (*.f64 (pow.f64 z 3) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 3) (fma.f64 (+.f64 (log.f64 13/2) -14/13) 27/169 -82/6591))) (fma.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))) z) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))) (*.f64 z z)) (exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (fma.f64 -1/2 (log.f64 13/2) -13/2))))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (log.f64 13/2) -14/13) z) 1) (*.f64 (pow.f64 13/2 -1/2) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 -13/2)))) (*.f64 (*.f64 (pow.f64 13/2 -1/2) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 -13/2))) (+.f64 (*.f64 z (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169))) (*.f64 (pow.f64 z 3) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -1216/6591))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))) (+.f64 (*.f64 (+.f64 (log.f64 13/2) -14/13) z) (*.f64 (*.f64 z z) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169) (*.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -1216/6591))))))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (neg.f64 (+.f64 13/2 z)))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (-.f64 13/2 (*.f64 -1 z))) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 (*.f64 -1 z) 13/2))))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -13/2 (neg.f64 z)))))
(exp.f64 (fma.f64 (+.f64 -1/2 z) (log.f64 (+.f64 13/2 z)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 9313491787209566401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -9313491787209566401/10000000000000000)
(-.f64 (+.f64 (*.f64 130311870198853951/120000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 9313491787209566401/10000000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (/.f64 6765203681218851/10000000000000 z)) -9313491787209566401/10000000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (/.f64 6765203681218851/10000000000000 z)) -9313491787209566401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 130311870198853951/120000000000000 -9313491787209566401/10000000000000000))
(-.f64 (+.f64 (*.f64 130311870198853951/120000000000000 z) (+.f64 (*.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 9313491787209566401/10000000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -9313491787209566401/10000000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (fma.f64 (*.f64 z z) -841870861561131653/720000000000000 (/.f64 6765203681218851/10000000000000 z))) -9313491787209566401/10000000000000000)
(fma.f64 z 130311870198853951/120000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 (*.f64 z z) -841870861561131653/720000000000000 -9313491787209566401/10000000000000000)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (+.f64 130311870198853951/120000000000000 (*.f64 z -841870861561131653/720000000000000)) -9313491787209566401/10000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (+.f64 (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z))) (+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000))
(+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 30223877537487/2500000000000 (/.f64 1 z)) (+.f64 (*.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z))) (+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000))
(+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)))))

localize45.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.9b
(exp.f64 (+.f64 z 13/2))
0.5b
(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
0.4b
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))
0.3b
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))))
✓0.5b
(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
0.9b
(exp.f64 (+.f64 z 13/2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Compiler

Compiled 70 to 54 computations (22.9% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
2.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
1.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
1.0ms
z
@0
(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
0.0ms
z
@-inf
(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))

rewrite75.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
857×log-prod_binary64
311×expm1-udef_binary64
311×log1p-udef_binary64
263×log-pow_binary64
200×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
135740
2458940
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))) 172075220870680916925232387/525000000000000000000000) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))) 172075220870680916925232387/525000000000000000000000) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))) 172075220870680916925232387/525000000000000000000000) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 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172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (+.f64 z 13/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) -1/2) (pow.f64 (+.f64 z 13/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 z -1/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))

simplify60.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
502×fma-def_binary64
449×associate-*r*_binary64
421×associate-*l*_binary64
397×fma-neg_binary64
378×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981092
13081049
21105940
36326936
Stop Event
1×node limit
Counts
70 → 67
Calls
Call 1
Inputs
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (exp.f64 13/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (exp.f64 13/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (*.f64 (pow.f64 z 3) (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (exp.f64 13/2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (exp.f64 13/2)) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(sqrt.f64 2/13)
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))
(+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
Outputs
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))) (exp.f64 13/2)))
(/.f64 (*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))
(+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (exp.f64 13/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) z) (sqrt.f64 (PI.f64)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)))) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) z))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))) z))))
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(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 172075220870680916925232387/525000000000000000000000 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 172075220870680916925232387/525000000000000000000000 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 172075220870680916925232387/525000000000000000000000 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 172075220870680916925232387/525000000000000000000000 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 172075220870680916925232387/525000000000000000000000 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(sqrt.f64 2/13)
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))
(fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))
(*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1))
(+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))
(fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)))
(+.f64 (sqrt.f64 2/13) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z z)) (*.f64 (+.f64 (log.f64 13/2) -1/13) z))))
(fma.f64 (sqrt.f64 2/13) (*.f64 z (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (+.f64 (log.f64 13/2) -1/13))) (sqrt.f64 2/13))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))))
(fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))))
(+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (pow.f64 z 3) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z z)))))
(fma.f64 (sqrt.f64 2/13) (*.f64 (*.f64 z z) (+.f64 (*.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591))) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1)))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))

localize220.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (+.f64 z 13/2))
1.0b
(sqrt.f64 (PI.f64))
1.0b
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
✓1.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
Compiler

Compiled 412 to 331 computations (19.7% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
1.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
1.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))

rewrite77.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
655×add-log-exp_binary64
654×log1p-expm1-u_binary64
654×expm1-log1p-u_binary64
653×add-cbrt-cube_binary64
653×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05499
1134899
Stop Event
1×node limit
Counts
1 → 6
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))))))))

simplify80.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
582×associate-*l*_binary64
558×associate-/r*_binary64
543×associate-/l*_binary64
422×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01431497
14741391
218761183
Stop Event
1×node limit
Counts
18 → 26
Calls
Call 1
Inputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 373870182501661212981625127/344531250000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -541338218559767156914609007209/463050000000000000000000000 (sqrt.f64 2/13)))))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 2255067893739617/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2)))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
Outputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 (PI.f64)) z)))
(/.f64 (*.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) (sqrt.f64 2)) (/.f64 (*.f64 (exp.f64 13/2) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(fma.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (fma.f64 6765203681218851/10000000000000 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2/13) -487331279103252896793517613/525000000000000000000000))) (exp.f64 13/2)) (*.f64 -6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))))
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(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) z))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z))))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)) (sqrt.f64 2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (sqrt.f64 2)) (pow.f64 z 3)))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000)))))

localize340.0ms (1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
0.1b
(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (+.f64 z 13/2))
1.0b
(sqrt.f64 (PI.f64))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
✓1.9b
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
Compiler

Compiled 491 to 396 computations (19.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
1.0ms
z
@-inf
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
1.0ms
z
@inf
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2))))

rewrite56.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
653×add-log-exp_binary64
652×log1p-expm1-u_binary64
652×expm1-log1p-u_binary64
651×add-cbrt-cube_binary64
651×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05499
1134699
Stop Event
1×node limit
Counts
1 → 7
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 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(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))))))

simplify46.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
582×associate-*l*_binary64
558×associate-/r*_binary64
543×associate-/l*_binary64
422×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01431497
14741391
218761183
Stop Event
1×node limit
Counts
19 → 27
Calls
Call 1
Inputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))))
(+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 373870182501661212981625127/344531250000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -541338218559767156914609007209/463050000000000000000000000 (sqrt.f64 2/13)))))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 2255067893739617/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2)))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (+.f64 (*.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 373870182501661212981625127/344531250000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/20000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
Outputs
(*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))))
(*.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 (PI.f64)) z)))
(/.f64 (*.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) (sqrt.f64 2)) (/.f64 (*.f64 (exp.f64 13/2) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(fma.f64 6765203681218851/10000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (fma.f64 6765203681218851/10000000000000 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2/13) -487331279103252896793517613/525000000000000000000000))) (exp.f64 13/2)) (*.f64 -6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (log.f64 13/2)) -6765203681218851/130000000000000) -487331279103252896793517613/525000000000000000000000))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -6765203681218851/10000000000000)) (/.f64 (*.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 2)) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z))))
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(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) z))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000))))
(+.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) (sqrt.f64 (PI.f64)))) (*.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (*.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 13/2 z))))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (*.f64 4925021701373474946951247/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (*.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)) (sqrt.f64 2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (sqrt.f64 2)) (pow.f64 z 3)))) (fma.f64 4925021701373474946951247/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 z z))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000)))))

localize231.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)))
0.2b
(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
0.1b
(/.f64 1 (-.f64 z -1))
0.0b
(/.f64 6765203681218851/10000000000000 z)
0.9b
(exp.f64 (-.f64 -13/2 z))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
1.1b
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
✓1.9b
(*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
Compiler

Compiled 542 to 454 computations (16.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
0.0ms
z
@inf
(*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
0.0ms
z
@-inf
(*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))

rewrite76.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
805×log-prod_binary64
310×expm1-udef_binary64
310×log1p-udef_binary64
261×log-pow_binary64
236×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01627
135827
2452127
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 -13/2)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 -13/2 z) (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 -13/2 z) (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))))))))

simplify64.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
638×fma-def_binary64
554×associate-*l*_binary64
481×associate-*r*_binary64
451×distribute-rgt-neg-out_binary64
319×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083661
1270575
21015517
35885517
Stop Event
1×node limit
Counts
32 → 31
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))))
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13)) z))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z))) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 z (fma.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (neg.f64 (+.f64 (log.f64 13/2) -1/13))))))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13)) z))) (*.f64 z (*.f64 z (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13)) z))) (*.f64 z (*.f64 z (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (-.f64 1/13 (log.f64 13/2)))))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z))) (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (neg.f64 (+.f64 (log.f64 13/2) -1/13))))) (*.f64 (*.f64 z z) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 1/2 (log.f64 13/2)) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (pow.f64 z 3))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13)) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)))) (pow.f64 z 3)))) (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 z (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 z (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 223/338 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (-.f64 1/13 (log.f64 13/2))))))) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13)) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)) (-.f64 -331/1014 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))))) (pow.f64 z 3))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 -13/2 (neg.f64 z)))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z)))))

eval1.1s (3.4%)

Compiler

Compiled 38760 to 32654 computations (15.8% saved)

prune806.0ms (2.5%)

Pruning

146 alts after pruning (138 fresh and 8 done)

PrunedKeptTotal
New48941530
Fresh1397110
Picked101
Done2810
Total505146651
Error
0.3b
Counts
651 → 146
Alt Table
Click to see full alt table
StatusErrorProgram
4.3b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 2) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓53.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
✓4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
10.8b
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) 1/3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (*.f64 (exp.f64 z) (exp.f64 13/2)))))))
4.5b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
4.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
13.6b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (/.f64 (fma.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 z 1) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
57.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
13.5b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
52.4b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 45767980848377092942628957760201/125913921672240280000000000000 (*.f64 z z)) (fma.f64 z -99999999999961980000000003613801/125913921672240280000000000000000000 (-.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (/.f64 39415351792997107601807255991627/125913921672240280000000000000 z)))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
13.5b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.8b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
10.4b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (exp.f64 (*.f64 2 (-.f64 -13/2 z)))))) (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
35.3b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
56.5b
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.9b
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (-.f64 -13/2 z) (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 125813921672216381783490107119158199/125913921672240280000000000000000000 (+.f64 (*.f64 45767980848377092942628957760201/125913921672240280000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -99999999999961980000000003613801/125913921672240280000000000000000000 z))) (*.f64 39415351792997107601807255991627/125913921672240280000000000000 (/.f64 1 z))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
53.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
54.1b
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
57.7b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
55.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
60.0b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
✓4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
4.2b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (exp.f64 (+.f64 z 13/2)))) 1)
5.2b
(*.f64 (exp.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓57.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.1b
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))))) 1)
4.5b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 z -3)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
54.1b
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
57.1b
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.4b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -13/2 z) 2))) (cbrt.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.2b
(*.f64 (exp.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.4b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z 13/2)))) 1)
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
57.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.6b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
9.8b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
54.1b
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
5.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.9b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
58.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
4.2b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.5b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
✓54.0b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.9b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (*.f64 (exp.f64 -13/2) (exp.f64 (neg.f64 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
56.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
4.9b
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
57.4b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.5b
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
55.9b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
34.7b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.8b
(*.f64 (expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))) 1)
4.1b
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
4.2b
(pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 z 13/2))) 1)
10.8b
(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
54.0b
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.9b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) 1) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
10.9b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 3) 1/3)) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
4.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
49.5b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
53.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
46.1b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.6b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
✓4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
5.0b
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
4.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
33.6b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
6.5b
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 -13/2 z))) 3/2) 1/3)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.9b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
55.3b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
4.0b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.2b
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
5.3b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
4.2b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.4b
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (*.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z))) 1/3) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
5.0b
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))))
59.2b
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
56.1b
(/.f64 (*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))
3.7b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.3b
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
51.2b
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Compiler

Compiled 11800 to 10119 computations (14.2% saved)

regimes2.7s (8.4%)

Counts
223 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
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(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 z (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))))))) (*.f64 (*.f64 z z) (+.f64 (+.f64 (fma.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (log.f64 13/2) -477386420770840464777858359/2756250000000000000000000 477386420770840464777858359/35831250000000000000000000) (fma.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 41615703160647772572887086541/463050000000000000000000000))) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000)))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/1050000000000000000000000)) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) 172075220870680916925232387/1050000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (fma.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197)) -7055084055697917593934527867/1730137500000000000000000000)) (+.f64 -895138868188656214215156909521/19448100000000000000000000000 (fma.f64 (log.f64 13/2) 41615703160647772572887086541/463050000000000000000000000 -41615703160647772572887086541/6019650000000000000000000000))))))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) 172075220870680916925232387/450000000000000000000000 (fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 -477386420770840464777858359/2756250000000000000000000 (fma.f64 172075220870680916925232387/525000000000000000000000 (log.f64 13/2) -172075220870680916925232387/6825000000000000000000000))))) 1/2 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (log.f64 13/2) -477386420770840464777858359/2756250000000000000000000 477386420770840464777858359/35831250000000000000000000) (fma.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 41615703160647772572887086541/463050000000000000000000000))))))) z)))))
(+.f64 (*.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 3) (-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -895138868188656214215156909521/19448100000000000000000000000 (sqrt.f64 2/13)) (+.f64 (*.f64 41615703160647772572887086541/463050000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))))))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (*.f64 172075220870680916925232387/3150000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -477386420770840464777858359/2756250000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))))
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

5 calls:

509.0ms
z
472.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
439.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
340.0ms
(-.f64 z 1)
281.0ms
(-.f64 z 1)
Results
ErrorSegmentsBranch
2.4b2z
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(-.f64 z 1)
2.4b2(-.f64 z 1)
Compiler

Compiled 19359 to 16430 computations (15.1% saved)

bsearch13.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
141.18467631416598
142.53687632570808
Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes2.3s (7.2%)

Counts
171 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 2) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) 1) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) 3))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

5 calls:

445.0ms
(-.f64 z 1)
388.0ms
z
327.0ms
(-.f64 z 1)
236.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
218.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Results
ErrorSegmentsBranch
2.4b2z
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(-.f64 z 1)
2.4b2(-.f64 z 1)
Compiler

Compiled 13558 to 11384 computations (16% saved)

bsearch8.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
141.18467631416598
142.53687632570808
Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes1.7s (5.2%)

Counts
138 → 2
Calls
Call 1
Inputs
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(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (/.f64 (fma.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 z 1) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

5 calls:

281.0ms
(-.f64 z 1)
205.0ms
(-.f64 z 1)
202.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
148.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
125.0ms
z
Results
ErrorSegmentsBranch
2.4b2z
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(-.f64 z 1)
2.4b2(-.f64 z 1)
Compiler

Compiled 10510 to 8827 computations (16% saved)

bsearch4.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
141.18467631416598
142.53687632570808
Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes1.7s (5.3%)

Counts
136 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
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(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) 1/3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (*.f64 (*.f64 3 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) 1/3)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 (*.f64 3 (-.f64 -13/2 z))) 1/3) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

5 calls:

313.0ms
(-.f64 z 1)
295.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
288.0ms
(-.f64 z 1)
248.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
162.0ms
z
Results
ErrorSegmentsBranch
2.4b2z
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(-.f64 z 1)
2.4b2(-.f64 z 1)
Compiler

Compiled 10317 to 8669 computations (16% saved)

bsearch5.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
141.18467631416598
142.53687632570808
Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes841.0ms (2.6%)

Counts
103 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
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(*.f64 (exp.f64 (+.f64 (-.f64 -13/2 z) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

5 calls:

131.0ms
(-.f64 z 1)
127.0ms
z
127.0ms
(-.f64 z 1)
123.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
112.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Results
ErrorSegmentsBranch
2.4b2z
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b2(-.f64 z 1)
2.4b2(-.f64 z 1)
Compiler

Compiled 7525 to 6294 computations (16.4% saved)

bsearch3.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
141.18467631416598
142.53687632570808
Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes874.0ms (2.7%)

Counts
100 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

5 calls:

123.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
118.0ms
(-.f64 z 1)
103.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
101.0ms
(-.f64 z 1)
92.0ms
z
Results
ErrorSegmentsBranch
3.9b1z
3.9b1(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.9b1(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.9b1(-.f64 z 1)
3.9b1(-.f64 z 1)
Compiler

Compiled 7289 to 6095 computations (16.4% saved)

regimes428.0ms (1.3%)

Counts
55 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
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(/.f64 (*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))
(*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (exp.f64 13/2)) (sqrt.f64 2/13)))
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(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))))) 1)
(pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 z 13/2))) 1)
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(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)
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Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

5 calls:

56.0ms
z
40.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
38.0ms
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36.0ms
(-.f64 z 1)
30.0ms
(-.f64 z 1)
Results
ErrorSegmentsBranch
4.0b1z
4.0b1(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b1(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
4.0b1(-.f64 z 1)
4.0b1(-.f64 z 1)
Compiler

Compiled 3376 to 2814 computations (16.6% saved)

regimes122.0ms (0.4%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

2 calls:

20.0ms
(-.f64 z 1)
20.0ms
z
Results
ErrorSegmentsBranch
4.0b1z
4.0b1(-.f64 z 1)
Compiler

Compiled 1670 to 1380 computations (17.4% saved)

regimes103.0ms (0.3%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Calls

2 calls:

46.0ms
(-.f64 z 1)
17.0ms
z
Results
ErrorSegmentsBranch
4.0b1z
4.0b1(-.f64 z 1)
Compiler

Compiled 1243 to 1013 computations (18.5% saved)

regimes133.0ms (0.4%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 13/2 -1/2) (exp.f64 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
Outputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Calls

2 calls:

68.0ms
(-.f64 z 1)
28.0ms
z
Results
ErrorSegmentsBranch
4.2b1z
4.2b1(-.f64 z 1)
Compiler

Compiled 1162 to 944 computations (18.8% saved)

regimes83.0ms (0.3%)

Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Outputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Calls

1 calls:

29.0ms
z
Results
ErrorSegmentsBranch
4.2b1z
Compiler

Compiled 1014 to 818 computations (19.3% saved)

regimes85.0ms (0.3%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Outputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Calls

1 calls:

31.0ms
z
Results
ErrorSegmentsBranch
49.5b1z
Compiler

Compiled 949 to 765 computations (19.4% saved)

regimes97.0ms (0.3%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (*.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Outputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Calls

1 calls:

16.0ms
z
Results
ErrorSegmentsBranch
53.1b1z
Compiler

Compiled 890 to 719 computations (19.2% saved)

regimes25.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Outputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Calls

1 calls:

9.0ms
z
Results
ErrorSegmentsBranch
53.6b1z
Compiler

Compiled 513 to 415 computations (19.1% saved)

regimes20.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(+.f64 0 (*.f64 172075220870680916925232387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z)))))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (-.f64 (+.f64 -578716763873803901/10000000000000000 (/.f64 19279621695433005785362579/25000000000000000000000 z)) (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (*.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
Outputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Calls

1 calls:

9.0ms
z
Results
ErrorSegmentsBranch
54.0b1z
Compiler

Compiled 417 to 337 computations (19.2% saved)

regimes16.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
Outputs
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
Calls

1 calls:

4.0ms
z
Results
ErrorSegmentsBranch
54.1b1z
Compiler

Compiled 91 to 74 computations (18.7% saved)

regimes5.0ms (0%)

Accuracy

Total -1.1b remaining (-1.9%)

Threshold costs -1.1b (-1.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
Outputs
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
Calls

1 calls:

3.0ms
z
Results
ErrorSegmentsBranch
56.1b1z
Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify58.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
107×+-commutative_binary64
50×*-commutative_binary64
15×sub-neg_binary64
3×*-lft-identity_binary64
3×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02612377
14492377
24682377
34742377
44762377
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (+.f64 0 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
Outputs
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(if (<=.f64 (+.f64 z -1) 142) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3)) (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 z) -9999999999998099/10000000000000000))) (*.f64 (+.f64 (/.f64 z -3147848041806007/2500000000000) -2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 z) -9999999999998099/10000000000000000))) (+.f64 (/.f64 z -3147848041806007/2500000000000) -2500000000000/3147848041806007)))))))))))
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(if (<=.f64 (+.f64 z -1) 142) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3)) (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 z -3147848041806007/2500000000000) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (+.f64 (/.f64 z -3147848041806007/2500000000000) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))))))
(if (<=.f64 (+.f64 z -1) 142) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3)) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 z -3147848041806007/2500000000000) -2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (+.f64 (/.f64 z -3147848041806007/2500000000000) -2500000000000/3147848041806007) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 z))))))))))))
(if (<=.f64 (-.f64 z 1) 142) (*.f64 (*.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 z -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))
(if (<=.f64 (+.f64 z -1) 142) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3)) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1)))))))))))
(if (<=.f64 (+.f64 z -1) 142) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)))) (*.f64 (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (-.f64 -13/2 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3)) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 z))) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 z)) (-.f64 z -1)))))))))))
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(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))) 172075220870680916925232387/525000000000000000000000))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z 13/2)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 172075220870680916925232387/525000000000000000000000)) (exp.f64 (+.f64 z 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 13/2))))
(*.f64 (sqrt.f64 2/13) (*.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))) 172075220870680916925232387/525000000000000000000000) (sqrt.f64 2/13))

end1.1s (3.4%)

Stop Event
1×fuel
Compiler

Compiled 3141 to 2647 computations (15.7% saved)

Profiling

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