Details

Time bar (total: 5.4s)

analyze24.0ms (0.4%)

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
0.2%0%99.8%13
0.2%0%99.8%14
Compiler

Compiled 98 to 86 computations (12.2% saved)

sample3.0s (56.2%)

Results
3.0s8256×body128valid
61.0ms152×body128invalid

preprocess35.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
867×times-frac_binary64
687×fma-def_binary64
337×associate-+l+_binary64
294×associate-+r+_binary64
167×distribute-rgt-in_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)))
Compiler

Compiled 95 to 84 computations (11.6% saved)

simplify24.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
867×times-frac_binary64
687×fma-def_binary64
337×associate-+l+_binary64
294×associate-+r+_binary64
167×distribute-rgt-in_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)))

prune11.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
3.9b
Counts
3 → 2
Alt Table
StatusErrorProgram
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 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 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)))
Compiler

Compiled 482 to 415 computations (13.9% saved)

localize74.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.1b
(exp.f64 (+.f64 z 13/2))
✓2.1b
(/.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)))

series15.0ms (0.3%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@0
(/.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)))
4.0ms
z
@-inf
(/.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)))
3.0ms
z
@inf
(/.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)))
1.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
0.0ms
z
@-inf
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))

rewrite94.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
650×add-log-exp_binary64
649×log1p-expm1-u_binary64
649×expm1-log1p-u_binary64
641×pow1_binary64
53×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053125
11332125
Stop Event
1×node limit
Counts
4 → 42
Calls
Call 1
Inputs
(/.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)))
(exp.f64 (+.f64 z 13/2))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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 1 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 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simplify49.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
907×fma-def_binary64
296×distribute-rgt-in_binary64
286×distribute-lft-in_binary64
126×associate-/l/_binary64
123×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01831797
15901687
221811472
Stop Event
1×node limit
Counts
78 → 85
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))))))
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(*.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)))))))
(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)))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000)
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.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 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (*.f64 (sqrt.f64 (PI.f64)) 6765203681218851/10000000000000))
(+.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 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 6765203681218851/10000000000000 (+.f64 (log.f64 13/2) -1/13)) -487331279103252896793517613/525000000000000000000000))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -6765203681218851/10000000000000))))
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(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))
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(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 z z))))
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(exp.f64 (+.f64 13/2 z))
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(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))
(/.f64 6765203681218851/10000000000000 z)
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(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)
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(/.f64 -5826188486005177/10000000000000 z)
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(/.f64 -5826188486005177/10000000000000 z)
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prune289.0ms (5.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New661985
Fresh011
Picked101
Done000
Total672087
Error
2.7b
Counts
87 → 20
Alt Table
StatusErrorProgram
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 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
(exp.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
4.3b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (cbrt.f64 (*.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 (/.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)))
4.1b
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))
4.8b
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))
4.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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)))))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
4.2b
(/.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 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.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)))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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 1 (exp.f64 (+.f64 z 13/2))))
4.2b
(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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)))
4.2b
(/.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)))))))) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
55.6b
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (fma.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 373870182501661212981625127/344531250000000000000000 (fma.f64 6765203681218851/10000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (fma.f64 (log.f64 13/2) -487331279103252896793517613/525000000000000000000000 487331279103252896793517613/6825000000000000000000000)))) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.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)) -6765203681218851/20000000000000)))) (fma.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 6765203681218851/10000000000000 (log.f64 13/2) -6765203681218851/130000000000000) -487331279103252896793517613/525000000000000000000000)) (/.f64 (*.f64 -6765203681218851/10000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))))
4.1b
(/.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)))))))) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))
4.8b
(/.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 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.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)))
5.2b
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
▶4.1b
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.1b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
4.3b
(/.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 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.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)))
13.4b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
4.1b
(/.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)))))))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))
4.2b
(/.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)))))))) (*.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)))))
Compiler

Compiled 10308 to 8628 computations (16.3% saved)

localize46.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))
0.9b
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.1b
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
2.0ms
z
@inf
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
1.0ms
z
@0
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))

rewrite50.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
669×add-log-exp_binary64
666×log1p-expm1-u_binary64
666×expm1-log1p-u_binary64
660×pow1_binary64
55×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055124
11372124
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))
Outputs
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(/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))))

simplify51.0ms (1%)

Algorithm
1×egg-herbie
Rules
832×fma-def_binary64
597×associate-/l*_binary64
294×distribute-rgt-in_binary64
286×distribute-lft-in_binary64
194×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01701635
15531529
220421394
Stop Event
1×node limit
Counts
46 → 56
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))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (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 (exp.f64 z) (*.f64 (exp.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))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (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 (exp.f64 z) (*.f64 (exp.f64 13/2) (pow.f64 z 2)))) (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 (exp.f64 z) (*.f64 (exp.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))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (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 (exp.f64 z) (*.f64 (exp.f64 13/2) (pow.f64 z 2)))) (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 (exp.f64 z) (*.f64 (exp.f64 13/2) z))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (sqrt.f64 (PI.f64)))) (*.f64 10831820445529922198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (*.f64 (exp.f64 z) (*.f64 (exp.f64 13/2) (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))))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (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))))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (sqrt.f64 (PI.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 z) (*.f64 (exp.f64 13/2) z))) (sqrt.f64 (PI.f64)))))
(+.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 z) (*.f64 (exp.f64 13/2) (pow.f64 z 2)))) (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))))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (sqrt.f64 (PI.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 z) (*.f64 (exp.f64 13/2) z))) (sqrt.f64 (PI.f64))))))
(+.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 z) (*.f64 (exp.f64 13/2) (pow.f64 z 2)))) (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))))) (*.f64 (exp.f64 z) (exp.f64 13/2))) (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 z) (*.f64 (exp.f64 13/2) z))) (sqrt.f64 (PI.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 z) (*.f64 (exp.f64 13/2) (pow.f64 z 3)))) (sqrt.f64 (PI.f64)))))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
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 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 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (fma.f64 6765203681218851/10000000000000 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2/13) -487331279103252896793517613/525000000000000000000000)))) (*.f64 -6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))))
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prune267.0ms (4.9%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New791493
Fresh61319
Picked101
Done000
Total8627113
Error
2.5b
Counts
113 → 27
Alt Table
StatusErrorProgram
4.2b
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5.0b
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.3b
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4.1b
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4.5b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.8b
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))
5.2b
(exp.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
4.1b
(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.3b
(/.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 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.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)))
4.2b
(/.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 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.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)))
5.2b
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
4.1b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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 1 (exp.f64 (+.f64 z 13/2))))
4.2b
(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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)))
4.2b
(/.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)))))))) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
4.8b
(/.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 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.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)))
4.2b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.1b
(/.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)))))))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))
55.6b
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (fma.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 373870182501661212981625127/344531250000000000000000 (fma.f64 6765203681218851/10000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (fma.f64 (log.f64 13/2) -487331279103252896793517613/525000000000000000000000 487331279103252896793517613/6825000000000000000000000)))) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.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)) -6765203681218851/20000000000000)))) (fma.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 6765203681218851/10000000000000 (log.f64 13/2) -6765203681218851/130000000000000) -487331279103252896793517613/525000000000000000000000)))))))
4.1b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(/.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)))))))) (*.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)))))
4.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
4.3b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.1b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
4.1b
(/.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)))))))) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))
▶4.1b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
Compiler

Compiled 11940 to 9911 computations (17% saved)

localize48.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.8b
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))
✓0.9b
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.1b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))

series10.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))
2.0ms
z
@0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))
1.0ms
z
@-inf
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))
0.0ms
z
@inf
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))
0.0ms
z
@-inf
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))

rewrite39.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
303×add-sqr-sqrt_binary64
287×add-log-exp_binary64
286×pow1_binary64
286×log1p-expm1-u_binary64
286×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02559
159559
Stop Event
1×node limit
Counts
3 → 33
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.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 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 3)) (+.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 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))))))

simplify35.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
679×fma-def_binary64
291×associate-*l*_binary64
275×associate-*r*_binary64
219×distribute-rgt-in_binary64
207×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0132984
1404947
21278890
Stop Event
1×node limit
Counts
69 → 71
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.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))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))) (+.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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
(*.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 z)) (sqrt.f64 (PI.f64)))
(*.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 z)) (sqrt.f64 (PI.f64)))
(*.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 z)) (sqrt.f64 (PI.f64)))
(*.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 z)) (sqrt.f64 (PI.f64)))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000)
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000)
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000)
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000)
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 698782001866861/800000000000)
(/.f64 943522900885677/5000000000000 z)
(-.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(/.f64 943522900885677/5000000000000 z)
(-.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2/13) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (log.f64 13/2) 1/13)) (sqrt.f64 2/13))) z) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 (sqrt.f64 2) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2))) z (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13) (neg.f64 (sqrt.f64 2/13))) z))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (log.f64 13/2) 1/13)) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2)))) (sqrt.f64 2/13))) (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (-.f64 (log.f64 13/2) 1/13)) (*.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2/13))))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 (sqrt.f64 2) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2))) z) (fma.f64 (*.f64 z z) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 1) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2) 1/2)))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 (sqrt.f64 2) (sqrt.f64 2/13) (*.f64 z (*.f64 z (*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (+.f64 (log.f64 13/2) -1/13) 1/2)))))))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.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))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))) (+.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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (log.f64 13/2) 1/13)) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (-.f64 (log.f64 13/2) 1/13)) (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (+.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 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2/13)))) (fma.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (log.f64 13/2) 1/13)) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2)))) (sqrt.f64 2/13)))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2)))) (sqrt.f64 2/13))) (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (-.f64 (log.f64 13/2) 1/13)) (*.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2/13))))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 (sqrt.f64 2) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (sqrt.f64 2) (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 (sqrt.f64 2) 1/2)))) (fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) 1/6 (fma.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 (sqrt.f64 2) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2))) 1/2 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 1) (sqrt.f64 2/13)))))) (pow.f64 z 3)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 1) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2) 1/2)))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) 1/3)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 1) (sqrt.f64 2/13)) (*.f64 (fma.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13) (neg.f64 (sqrt.f64 2/13))) 1/2)))) z) (*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (+.f64 (log.f64 13/2) -1/13) 1/2)))))) (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13) (neg.f64 (sqrt.f64 2/13))) z)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 z)))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 z)))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 z)))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 z)) (sqrt.f64 (PI.f64)))
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prune264.0ms (4.9%)

Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New661682
Fresh62026
Picked101
Done000
Total7336109
Error
2.4b
Counts
109 → 36
Alt Table
StatusErrorProgram
5.1b
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.4b
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4.2b
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5.0b
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.3b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
▶4.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))
4.5b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
55.3b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) 1/3)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 1) (sqrt.f64 2/13)) (*.f64 (fma.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13) (neg.f64 (sqrt.f64 2/13))) 1/2)))) z) (*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (+.f64 (log.f64 13/2) -1/13) 1/2)))))) (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13) (neg.f64 (sqrt.f64 2/13))) z))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.8b
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))
5.2b
(exp.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
55.3b
(*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.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))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))) (+.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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(/.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 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.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)))
5.2b
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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)))
4.2b
(/.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)))))))) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.1b
(/.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)))))))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))
4.9b
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.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 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(/.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)))))))) (*.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)))))
4.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
5.0b
(*.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.3b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
5.4b
(*.f64 (*.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 z)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.8b
(/.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 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.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)))
4.7b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
Compiler

Compiled 13190 to 10954 computations (17% saved)

localize48.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))
0.9b
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.1b
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
1.0ms
z
@-inf
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
1.0ms
z
@inf
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))

rewrite43.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
486×log-prod_binary64
224×prod-diff_binary64
193×expm1-udef_binary64
193×log1p-udef_binary64
165×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
121115
2289215
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 z) (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 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (neg.f64 (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2) (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (*.f64 (cbrt.f64 (exp.f64 z)) (pow.f64 (+.f64 z 13/2) (neg.f64 (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (sqrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 (+.f64 z 13/2) z)) (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 (+.f64 z 13/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (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 z) (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 z) (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 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 z) (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 3 z)) (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 z (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 z (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))) 1))))))

simplify37.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
345×fma-neg_binary64
309×fma-def_binary64
295×associate-*l*_binary64
285×associate-*r*_binary64
284×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070583
1208516
2736480
34316468
Stop Event
1×node limit
Counts
51 → 49
Calls
Call 1
Inputs
(sqrt.f64 13/2)
(+.f64 (*.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))) (sqrt.f64 13/2))
(+.f64 (*.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))) (+.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))))) (pow.f64 z 2))))
(+.f64 (*.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))) (+.f64 (sqrt.f64 13/2) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (sqrt.f64 13/2)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)))) (+.f64 (*.f64 (sqrt.f64 13/2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))) (*.f64 (pow.f64 (sqrt.f64 13/2) 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)))))) (pow.f64 z 3)) (*.f64 (-.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))))) (pow.f64 z 2)))))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
Outputs
(sqrt.f64 13/2)
(+.f64 (*.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))) (sqrt.f64 13/2))
(fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (sqrt.f64 2/13)))) (sqrt.f64 13/2))
(fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) 13/2))) (sqrt.f64 13/2))
(fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))) (sqrt.f64 13/2))
(+.f64 (*.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))) (+.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))))) (pow.f64 z 2))))
(+.f64 (fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (sqrt.f64 2/13)))) (sqrt.f64 13/2)) (*.f64 (-.f64 (*.f64 (sqrt.f64 13/2) 1/2) (fma.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (sqrt.f64 2/13) (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))) (*.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (log.f64 13/2) -1/13)) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (sqrt.f64 2/13)))))))) (*.f64 z z)))
(fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) 13/2))) (fma.f64 (-.f64 (*.f64 (sqrt.f64 13/2) 1/2) (fma.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) 13/2))))) (*.f64 13/2 (*.f64 (sqrt.f64 2/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (*.f64 z z) (sqrt.f64 13/2)))
(fma.f64 z (*.f64 z (-.f64 (*.f64 (sqrt.f64 13/2) 1/2) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 27/26 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 13/4)) (*.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))))))))) (fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))) (sqrt.f64 13/2)))
(fma.f64 z (*.f64 z (fma.f64 (sqrt.f64 13/2) (-.f64 1/2 (*.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 (sqrt.f64 13/2) (sqrt.f64 2/13) (*.f64 (+.f64 1/2 (*.f64 (log.f64 13/2) -13/2)) 2/13)))) (*.f64 (sqrt.f64 2/13) (-.f64 -27/26 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 13/4))))) (fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))) (sqrt.f64 13/2)))
(+.f64 (*.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))) (+.f64 (sqrt.f64 13/2) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (sqrt.f64 13/2)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)))) (+.f64 (*.f64 (sqrt.f64 13/2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))) (*.f64 (pow.f64 (sqrt.f64 13/2) 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)))))) (pow.f64 z 3)) (*.f64 (-.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))))) (pow.f64 z 2)))))
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(+.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 13/2) 1/2) (fma.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) 13/2))))) (*.f64 13/2 (*.f64 (sqrt.f64 2/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (*.f64 z z) (*.f64 (-.f64 (*.f64 (sqrt.f64 13/2) 1/6) (fma.f64 (-.f64 (*.f64 (sqrt.f64 13/2) 1/2) (fma.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) 13/2))))) (*.f64 13/2 (*.f64 (sqrt.f64 2/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2))) (fma.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (-.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) 13/2))))) (*.f64 13/2 (*.f64 (sqrt.f64 2/13) (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))) (fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) 13/2))) (sqrt.f64 13/2)))
(fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))) (fma.f64 (-.f64 (*.f64 (sqrt.f64 13/2) (-.f64 1/6 (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 (sqrt.f64 13/2) 1/2) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 27/26 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 13/4)) (*.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2)))))))))))) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (fma.f64 13/2 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197)) -41/507)))) (pow.f64 z 3) (fma.f64 z (*.f64 z (-.f64 (*.f64 (sqrt.f64 13/2) 1/2) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 27/26 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 13/4)) (*.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -1/13) (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))))))))) (sqrt.f64 13/2))))
(fma.f64 z (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))) (fma.f64 (fma.f64 (sqrt.f64 13/2) (-.f64 1/6 (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (fma.f64 (sqrt.f64 13/2) (-.f64 1/2 (*.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 (sqrt.f64 13/2) (sqrt.f64 2/13) (*.f64 (+.f64 1/2 (*.f64 (log.f64 13/2) -13/2)) 2/13)))) (*.f64 (sqrt.f64 2/13) (-.f64 -27/26 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 13/4))))))) (neg.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (fma.f64 13/2 (log.f64 13/2) -1/2))) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (fma.f64 13/2 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197)) -41/507))))) (pow.f64 z 3) (fma.f64 z (*.f64 z (fma.f64 (sqrt.f64 13/2) (-.f64 1/2 (*.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 (sqrt.f64 13/2) (sqrt.f64 2/13) (*.f64 (+.f64 1/2 (*.f64 (log.f64 13/2) -13/2)) 2/13)))) (*.f64 (sqrt.f64 2/13) (-.f64 -27/26 (*.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 13/4))))) (sqrt.f64 13/2))))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))
(/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))

prune451.0ms (8.4%)

Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New15713170
Fresh62935
Picked101
Done000
Total16442206
Error
2.3b
Counts
206 → 42
Alt Table
StatusErrorProgram
4.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.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 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.4b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 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 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
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.3b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
13.4b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3) 1/3)))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.3b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
5.4b
(*.f64 (*.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 z)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
12.8b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2))))) (/.f64 (exp.f64 z) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.5b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.4b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))
4.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 (+.f64 z 13/2) z)) (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 (+.f64 z 13/2) -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.8b
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))
55.3b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) 1/3)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) 1) (sqrt.f64 2/13)) (*.f64 (fma.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13) (neg.f64 (sqrt.f64 2/13))) 1/2)))) z) (*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (+.f64 (log.f64 13/2) -1/13) 1/2)))))) (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13) (neg.f64 (sqrt.f64 2/13))) z))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.7b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
5.2b
(exp.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
4.2b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
5.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
55.3b
(*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) z) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.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))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))) (+.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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 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))) (*.f64 (sqrt.f64 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(/.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 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.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)))
4.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (pow.f64 (+.f64 z 13/2) z)) (/.f64 (cbrt.f64 (exp.f64 z)) (pow.f64 (+.f64 z 13/2) -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
5.2b
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
4.2b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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)))
4.2b
(/.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)))))))) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
5.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 z (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.2b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.1b
(/.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)))))))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))
4.9b
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
4.2b
(/.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)))))))) (*.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)))))
4.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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)))))))))
5.0b
(*.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.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))))) (exp.f64 13/2)))
4.1b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))))
4.8b
(/.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 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.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)))
Compiler

Compiled 20302 to 16394 computations (19.2% saved)

regimes305.0ms (5.7%)

Accuracy

Total -52.4b remaining (-1293.5%)

Threshold costs -52.4b (-1293.5%)

Counts
64 → 1
Calls
Call 1
Inputs
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(/.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 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.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 (*.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)))))))) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (fma.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 373870182501661212981625127/344531250000000000000000 (fma.f64 6765203681218851/10000000000000 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (fma.f64 (log.f64 13/2) -487331279103252896793517613/525000000000000000000000 487331279103252896793517613/6825000000000000000000000)))) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.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)) -6765203681218851/20000000000000)))) (fma.f64 6765203681218851/10000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 6765203681218851/10000000000000 (log.f64 13/2) -6765203681218851/130000000000000) -487331279103252896793517613/525000000000000000000000)) (/.f64 (*.f64 -6765203681218851/10000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))))
(/.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)))))))) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))
(/.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 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.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)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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))))))))) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.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)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.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)))))))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))
(/.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)))))))) (*.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)))))
(/.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 (*.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 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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
Results
36.0ms4.1bz
44.0ms4.1b(*.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 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))))
33.0ms4.1b(-.f64 z 1)
Compiler

Compiled 6202 to 5093 computations (17.9% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
17×+-commutative_binary64
4×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055101
178101
281101
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
Outputs
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))
(/.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)))))))) (*.f64 (exp.f64 z) (exp.f64 13/2)))

end41.0ms (0.8%)

Stop Event
1×fuel
Compiler

Compiled 134 to 112 computations (16.4% saved)

Profiling

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