Details

Time bar (total: 1.6min)

analyze1.4s (1.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.4%49.8%25.2%25.1%0%0%0%11
66.5%49.8%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.3min (84.8%)

Results
1.2min3867×body8192exit
6.9s8256×body256valid
106.0ms100×body256infinite
62.0ms93×body256unsamplable
Bogosity

preprocess47.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
503×associate-/r*_binary64
345×associate-/l*_binary64
337×associate-+l+_binary64
288×associate-+r+_binary64
271×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061156
1160147
2639119
34381115
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify41.0ms (0%)

Algorithm
1×egg-herbie
Rules
503×associate-/r*_binary64
345×associate-/l*_binary64
337×associate-+l+_binary64
288×associate-+r+_binary64
271×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061156
1160147
2639119
34381115
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

eval3.0ms (0%)

Compiler

Compiled 198 to 166 computations (16.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.7b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 199 to 171 computations (14.1% saved)

localize189.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
✓1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 506 to 386 computations (23.7% saved)

series5.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
1.0ms
z
@inf
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
1.0ms
z
@0
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0ms
z
@-inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

rewrite94.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
345×add-sqr-sqrt_binary64
328×add-cbrt-cube_binary64
328×add-exp-log_binary64
328×add-log-exp_binary64
328×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02864
168264
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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simplify63.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
959×fma-neg_binary64
540×cancel-sign-sub-inv_binary64
482×associate-/l*_binary64
368×associate-/r*_binary64
333×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
093559
1242533
2634531
31878529
44638528
Stop Event
1×node limit
Counts
201 → 207
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
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646366562873259793/3000000000000000
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(/.f64 -121443148578839881/200000000000000 z)
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-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(fma.f64 904338909853211/2500000000000 z (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 469507597606837/10000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
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(/.f64 5826188486005177/10000000000000 z)
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646366562873259793/3000000000000000
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-41652288634797769/1000000000000000
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(+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))))
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(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(+.f64 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (/.f64 32821537176690739/200000000000000 z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))))
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (/.f64 32821537176690739/200000000000000 z))
(+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z))
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (/.f64 32821537176690739/200000000000000 z)) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(+.f64 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (/.f64 32821537176690739/200000000000000 z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))))

localize314.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓6.8b
(-.f64 (-.f64 1 z) 1)
Compiler

Compiled 894 to 784 computations (12.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4)))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4)))
0.0ms
z
@inf
(-.f64 (-.f64 1 z) 1)
0.0ms
z
@-inf
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4)))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite91.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
326×add-sqr-sqrt_binary64
311×add-cbrt-cube_binary64
311×add-exp-log_binary64
311×add-log-exp_binary64
311×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02581
164167
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(-.f64 (-.f64 1 z) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4)))
Outputs
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simplify71.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
824×fma-neg_binary64
503×fma-def_binary64
474×associate-/r/_binary64
458×associate-/r*_binary64
291×associate-/l/_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
058318
1150310
2363306
3955294
42297294
54741290
67217286
Stop Event
1×node limit
Counts
150 → 142
Calls
Call 1
Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 62898174544540606049/103680000000000000 (pow.f64 z 3)) (+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(fma.f64 z 904338909853211/2500000000000 (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 479507597606835099/10000000000000000))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) 479507597606835099/10000000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 z 904338909853211/2500000000000 (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) 479507597606835099/10000000000000000)))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) 479507597606835099/10000000000000000))
(fma.f64 z 904338909853211/2500000000000 (fma.f64 (*.f64 z z) (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000) 479507597606835099/10000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
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eval1.2s (1.3%)

Compiler

Compiled 74005 to 60821 computations (17.8% saved)

prune142.0ms (0.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New63319652
Fresh000
Picked101
Done011
Total63420654
Error
0.0b
Counts
654 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (sqrt.f64 (pow.f64 (neg.f64 z) 2)) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
0.7b
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.4b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 (/.f64 -66801875443113257/40000000000000 z) z) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 3) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
1.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 3289 to 2755 computations (16.2% saved)

localize301.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
6.8b
(-.f64 (-.f64 1 z) 1)
Compiler

Compiled 823 to 668 computations (18.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))
0.0ms
z
@0
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))
0.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
0.0ms
z
@-inf
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))
0.0ms
z
@0
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))

rewrite89.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
315×add-sqr-sqrt_binary64
302×expm1-log1p-u_binary64
301×add-exp-log_binary64
301×add-log-exp_binary64
301×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02661
162053
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))
Outputs
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simplify73.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
872×fma-neg_binary64
519×fma-def_binary64
497×associate-/r/_binary64
372×associate-/l/_binary64
277×times-frac_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
062324
1159316
2384312
3998300
42509300
55064296
67099292
Stop Event
1×node limit
Counts
135 → 139
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 62898174544540606049/103680000000000000 (pow.f64 z 3)) (+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(fma.f64 904338909853211/2500000000000 z (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 469507597606837/10000000000000))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) 469507597606837/10000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(fma.f64 (*.f64 z z) (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) 469507597606837/10000000000000))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
(+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))
(fma.f64 z 314207804027640689/720000000000000 7827144361880981797/30000000000000000)
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2))))
(+.f64 7827144361880981797/30000000000000000 (fma.f64 314207804027640689/720000000000000 z (*.f64 (*.f64 z z) 4708246094784852251/8640000000000000)))
(+.f64 (fma.f64 z 314207804027640689/720000000000000 7827144361880981797/30000000000000000) (*.f64 (*.f64 4708246094784852251/8640000000000000 z) z))
(fma.f64 z (*.f64 z 4708246094784852251/8640000000000000) (fma.f64 z 314207804027640689/720000000000000 7827144361880981797/30000000000000000))
(fma.f64 z (fma.f64 z 4708246094784852251/8640000000000000 314207804027640689/720000000000000) 7827144361880981797/30000000000000000)
(+.f64 (*.f64 62898174544540606049/103680000000000000 (pow.f64 z 3)) (+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2)))))
(fma.f64 62898174544540606049/103680000000000000 (pow.f64 z 3) (+.f64 7827144361880981797/30000000000000000 (fma.f64 314207804027640689/720000000000000 z (*.f64 (*.f64 z z) 4708246094784852251/8640000000000000))))
(fma.f64 (pow.f64 z 3) 62898174544540606049/103680000000000000 (+.f64 (fma.f64 z 314207804027640689/720000000000000 7827144361880981797/30000000000000000) (*.f64 (*.f64 4708246094784852251/8640000000000000 z) z)))
(fma.f64 (pow.f64 z 3) 62898174544540606049/103680000000000000 (fma.f64 z (*.f64 z 4708246094784852251/8640000000000000) (fma.f64 z 314207804027640689/720000000000000 7827144361880981797/30000000000000000)))
(fma.f64 z (fma.f64 z 4708246094784852251/8640000000000000 314207804027640689/720000000000000) (fma.f64 (pow.f64 z 3) 62898174544540606049/103680000000000000 7827144361880981797/30000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 585619739096309/2500000000000 (*.f64 z z))) (/.f64 30223877537487/2500000000000 z))
(+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)) (/.f64 585619739096309/2500000000000 (*.f64 z z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)) (/.f64 (/.f64 585619739096309/2500000000000 z) z))
(fma.f64 (/.f64 1 z) (-.f64 (/.f64 585619739096309/2500000000000 z) 30223877537487/2500000000000) 9999999999998099/10000000000000000)
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3))) (/.f64 30223877537487/2500000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (-.f64 (/.f64 1219830531815489/5000000000000 (pow.f64 z 3)) (/.f64 30223877537487/2500000000000 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3))) (/.f64 -30223877537487/2500000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (+.f64 (/.f64 1219830531815489/5000000000000 (pow.f64 z 3)) (/.f64 -30223877537487/2500000000000 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)) (+.f64 (/.f64 (/.f64 585619739096309/2500000000000 z) z) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 585619739096309/2500000000000 (/.f64 1219830531815489/5000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)))
(+.f64 (fma.f64 (/.f64 1 z) (-.f64 (/.f64 585619739096309/2500000000000 z) 30223877537487/2500000000000) 9999999999998099/10000000000000000) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 585619739096309/2500000000000 (*.f64 z z))) (/.f64 30223877537487/2500000000000 z))
(+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)) (/.f64 585619739096309/2500000000000 (*.f64 z z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)) (/.f64 (/.f64 585619739096309/2500000000000 z) z))
(fma.f64 (/.f64 1 z) (-.f64 (/.f64 585619739096309/2500000000000 z) 30223877537487/2500000000000) 9999999999998099/10000000000000000)
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3))) (/.f64 30223877537487/2500000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (-.f64 (/.f64 1219830531815489/5000000000000 (pow.f64 z 3)) (/.f64 30223877537487/2500000000000 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3))) (/.f64 -30223877537487/2500000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 585619739096309/2500000000000 (*.f64 z z)) (+.f64 (/.f64 1219830531815489/5000000000000 (pow.f64 z 3)) (/.f64 -30223877537487/2500000000000 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)) (+.f64 (/.f64 (/.f64 585619739096309/2500000000000 z) z) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 585619739096309/2500000000000 (/.f64 1219830531815489/5000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -30223877537487/2500000000000 z)))
(+.f64 (fma.f64 (/.f64 1 z) (-.f64 (/.f64 585619739096309/2500000000000 z) 30223877537487/2500000000000) 9999999999998099/10000000000000000) (/.f64 1219830531815489/5000000000000 (pow.f64 z 3)))

localize145.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
✓1.0b
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 369 to 275 computations (25.5% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
2.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@0
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0ms
z
@inf
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite74.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
490×add-sqr-sqrt_binary64
465×add-cbrt-cube_binary64
465×add-log-exp_binary64
464×add-exp-log_binary64
464×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03998
195698
Stop Event
1×node limit
Counts
2 → 17
Calls
Call 1
Inputs
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 270045314111149317828226089380810675507433529344350257/27000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))

simplify71.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
424×fma-def_binary64
345×cancel-sign-sub-inv_binary64
334×times-frac_binary64
313×distribute-rgt-out_binary64
274×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0121805
1357775
21225599
35299578
Stop Event
1×node limit
Counts
41 → 51
Calls
Call 1
Inputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 11905579114879117765036105003169999/19914854400000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/1411200000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))
Outputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z))))
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(+.f64 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 6493665628732592227/30000000000000000 (/.f64 27281403495794582477533611/6250000000000000000000 (pow.f64 z 3)))) (*.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) z) (+.f64 14568935239021264214637421/25000000000000000000000 (/.f64 11516183879996384915397167/6250000000000000000000 z))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (PI.f64) (/.f64 6493665628732592227/30000000000000000 (exp.f64 (-.f64 15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64)))))
(fma.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) z)) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))
(*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 11516183879996384915397167/6250000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (*.f64 z z))) (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) z)) (sin.f64 (*.f64 z (PI.f64)))) (fma.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (PI.f64) (*.f64 z z)))))))
(fma.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z)))))
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(fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) z)) (sin.f64 (*.f64 z (PI.f64)))) (fma.f64 27281403495794582477533611/6250000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (pow.f64 z 3))) (fma.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (PI.f64) (*.f64 z z))))))))
(+.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000)) (*.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z)) (/.f64 27281403495794582477533611/6250000000000000000000 (pow.f64 z 3)))))
(+.f64 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 6493665628732592227/30000000000000000 (/.f64 27281403495794582477533611/6250000000000000000000 (pow.f64 z 3)))) (*.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) z) (+.f64 14568935239021264214637421/25000000000000000000000 (/.f64 11516183879996384915397167/6250000000000000000000 z))))

localize160.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000)
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 416 to 314 computations (24.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000)
0.0ms
z
@inf
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000)
0.0ms
z
@inf
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
0.0ms
z
@-inf
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000)
0.0ms
z
@-inf
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

rewrite87.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
490×unpow-prod-down_binary64
370×log-prod_binary64
295×exp-prod_binary64
241×pow2_binary64
215×prod-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
119017
2245217
Stop Event
1×node limit
Counts
2 → 108
Calls
Call 1
Inputs
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
Outputs
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simplify54.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
694×times-frac_binary64
582×fma-def_binary64
436×associate-*l/_binary64
373×associate-/l/_binary64
364×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061344
1173316
2477312
31487300
43927300
Stop Event
1×node limit
Counts
132 → 136
Calls
Call 1
Inputs
646366562873259793/3000000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
-41652288634797769/1000000000000000
(neg.f64 (+.f64 41652288634797769/1000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))))))
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))))
-41652288634797769/1000000000000000
(neg.f64 (+.f64 41652288634797769/1000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))))))
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
Outputs
646366562873259793/3000000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (*.f64 7713234287776531/270000000000000 (*.f64 z z)))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 646366562873259793/3000000000000000))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) 646366562873259793/3000000000000000))
(fma.f64 z (fma.f64 z 7713234287776531/270000000000000 7713234287776531/90000000000000) 646366562873259793/3000000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 646366562873259793/3000000000000000)))
(fma.f64 z (*.f64 z (fma.f64 z 7713234287776531/810000000000000 7713234287776531/270000000000000)) (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z (fma.f64 z 7713234287776531/810000000000000 7713234287776531/270000000000000)) 646366562873259793/3000000000000000))
-41652288634797769/1000000000000000
(neg.f64 (+.f64 41652288634797769/1000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(+.f64 -41652288634797769/1000000000000000 (neg.f64 (/.f64 7713234287776531/10000000000000 z)))
(-.f64 -41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z))
(+.f64 (/.f64 -7713234287776531/10000000000000 z) -41652288634797769/1000000000000000)
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))))))
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 41652288634797769/1000000000000000 (/.f64 23139702863329593/10000000000000 (*.f64 z z)))))
(-.f64 (-.f64 -41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z)) (/.f64 (/.f64 23139702863329593/10000000000000 z) z))
(-.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (+.f64 41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) -41652288634797769/1000000000000000) (/.f64 -23139702863329593/10000000000000 (*.f64 z z)))
(+.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) -41652288634797769/1000000000000000)
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))))
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 41652288634797769/1000000000000000 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))))
(-.f64 (/.f64 -7713234287776531/10000000000000 z) (+.f64 (+.f64 41652288634797769/1000000000000000 (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (-.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (+.f64 41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z))) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) -41652288634797769/1000000000000000) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
-41652288634797769/1000000000000000
(neg.f64 (+.f64 41652288634797769/1000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(+.f64 -41652288634797769/1000000000000000 (neg.f64 (/.f64 7713234287776531/10000000000000 z)))
(-.f64 -41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z))
(+.f64 (/.f64 -7713234287776531/10000000000000 z) -41652288634797769/1000000000000000)
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))))))
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 41652288634797769/1000000000000000 (/.f64 23139702863329593/10000000000000 (*.f64 z z)))))
(-.f64 (-.f64 -41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z)) (/.f64 (/.f64 23139702863329593/10000000000000 z) z))
(-.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (+.f64 41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) -41652288634797769/1000000000000000) (/.f64 -23139702863329593/10000000000000 (*.f64 z z)))
(+.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) -41652288634797769/1000000000000000)
(neg.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 41652288634797769/1000000000000000 (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))))
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 41652288634797769/1000000000000000 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))))
(-.f64 (/.f64 -7713234287776531/10000000000000 z) (+.f64 (+.f64 41652288634797769/1000000000000000 (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (-.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (+.f64 41652288634797769/1000000000000000 (/.f64 7713234287776531/10000000000000 z))) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) -41652288634797769/1000000000000000) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 7713234287776531/270000000000000 (*.f64 z z)))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000))
(fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000))
(fma.f64 z (fma.f64 z 7713234287776531/270000000000000 7713234287776531/90000000000000) 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
(+.f64 (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 7713234287776531/30000000000000)))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z (fma.f64 z 7713234287776531/810000000000000 7713234287776531/270000000000000)) 7713234287776531/30000000000000))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 23139702863329593/10000000000000 (*.f64 z z))))
(-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z))
(+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 -23139702863329593/10000000000000 z) z))
(+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -23139702863329593/10000000000000 (*.f64 z z)))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 -7713234287776531/10000000000000 z)))
(+.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))))
(-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 (/.f64 23139702863329593/10000000000000 z) z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 -23139702863329593/10000000000000 z) z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -23139702863329593/10000000000000 (*.f64 z z))) (-.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4))))
(-.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (*.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 69419108589988779/10000000000000 (/.f64 -208257325769966337/10000000000000 z))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 23139702863329593/10000000000000 (*.f64 z z))))
(-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z))
(+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 -23139702863329593/10000000000000 z) z))
(+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -23139702863329593/10000000000000 (*.f64 z z)))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 -7713234287776531/10000000000000 z)))
(+.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))))
(-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 (/.f64 23139702863329593/10000000000000 z) z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 -23139702863329593/10000000000000 z) z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -23139702863329593/10000000000000 (*.f64 z z))) (-.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4))))
(-.f64 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z)) (*.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 69419108589988779/10000000000000 (/.f64 -208257325769966337/10000000000000 z))))

localize212.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.1b
(+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))
Compiler

Compiled 572 to 436 computations (23.8% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))
1.0ms
z
@-inf
(+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))
0.0ms
z
@inf
(+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))

rewrite69.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
503×log-prod_binary64
379×fma-def_binary64
307×pow2_binary64
298×pow-prod-down_binary64
211×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
124614
2318514
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)))) (/.f64 (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000) (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((x pow.f64 (pow.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (-.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000)) (fma.f64 (pow.f64 (-.f64 2 z) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 1 z) 3) 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fma.f64 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) -3147848041806007/2500000000000 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) 1 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 z)) 2) (*.f64 (cbrt.f64 (-.f64 2 z)) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 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(*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))))

simplify10.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
76 → 68
Calls
Call 1
Inputs
469507597606837/5000000000000
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
Outputs
469507597606837/5000000000000
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)

localize310.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
6.8b
(-.f64 (-.f64 1 z) 1)
Compiler

Compiled 881 to 765 computations (13.2% saved)

eval2.4s (2.6%)

Compiler

Compiled 138254 to 110899 computations (19.8% saved)

prune254.0ms (0.3%)

Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1320251345
Fresh6814
Picked101
Done145
Total1328371365
Error
0.0b
Counts
1365 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 646366562873259793/3000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
50.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
2.7b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3683516130645841/2000000000000 z) z) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.0b
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.9b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 2))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 3) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
1.4b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
✓2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.4b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
62.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
▶0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶2.0b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 (/.f64 -66801875443113257/40000000000000 z) z) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 4318 to 3555 computations (17.7% saved)

localize209.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓1.0b
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 547 to 423 computations (22.7% saved)

series8.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
5.0ms
z
@0
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
2.0ms
z
@inf
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
1.0ms
z
@-inf
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)

rewrite80.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
612×log-prod_binary64
404×fma-def_binary64
262×log-div_binary64
259×expm1-udef_binary64
258×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
133016
2425716
Stop Event
1×node limit
Counts
1 → 82
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
Outputs
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simplify73.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
423×fma-neg_binary64
406×+-commutative_binary64
315×div-sub_binary64
309×associate-*r*_binary64
306×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077424
1230414
2757382
33887344
47015344
Stop Event
1×node limit
Counts
86 → 89
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 (*.f64 904338909853211/7500000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (*.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)))))
(+.f64 (*.f64 (+.f64 (*.f64 817828863874494091501567010521/28125000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (*.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 1/3 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)))))) (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 (*.f64 904338909853211/7500000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (*.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))))))
(+.f64 (*.f64 (+.f64 (*.f64 904338909853211/11250000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))) (+.f64 (*.f64 904338909853211/7500000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)) 1/3) (+.f64 (*.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (*.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))))) (+.f64 (*.f64 (cbrt.f64 469507597606837/10000000000000) (+.f64 (*.f64 904338909853211/11250000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))) (*.f64 2/3 (/.f64 (-.f64 23912966683069397/40000000000000 (+.f64 (*.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (*.f64 904338909853211/3750000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))))) (cbrt.f64 469507597606837/10000000000000))))) (*.f64 1/3 (-.f64 23912966683069397/40000000000000 (+.f64 (*.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (*.f64 904338909853211/3750000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 817828863874494091501567010521/28125000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (*.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 1/3 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)))))) (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 (*.f64 904338909853211/7500000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (*.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)))))))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 (*.f64 904338909853211/7500000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (*.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)))))
(+.f64 469507597606837/10000000000000 (*.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000)))
(fma.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000) 469507597606837/10000000000000)
(fma.f64 z (*.f64 (cbrt.f64 (*.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) 469507597606837/10000000000000)
(+.f64 (*.f64 (+.f64 (*.f64 817828863874494091501567010521/28125000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (*.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 1/3 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)))))) (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 (*.f64 904338909853211/7500000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (*.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))))))
(fma.f64 (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (cbrt.f64 469507597606837/10000000000000) (*.f64 1/3 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)))))))) (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000))))
(fma.f64 (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (cbrt.f64 469507597606837/10000000000000)) (*.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (+.f64 2076511864126339/12000000000000 (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000))))) (*.f64 z z) (fma.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000) 469507597606837/10000000000000))
(fma.f64 z (*.f64 (cbrt.f64 (*.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) (fma.f64 (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (+.f64 2076511864126339/12000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/56250000000000000000000000)))) (*.f64 z z) 469507597606837/10000000000000))
(fma.f64 z (*.f64 (cbrt.f64 (*.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) (fma.f64 z (*.f64 z (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (+.f64 2076511864126339/12000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/56250000000000000000000000)))) 469507597606837/10000000000000))
(+.f64 (*.f64 (+.f64 (*.f64 904338909853211/11250000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))) (+.f64 (*.f64 904338909853211/7500000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)) 1/3) (+.f64 (*.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (*.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))))) (+.f64 (*.f64 (cbrt.f64 469507597606837/10000000000000) (+.f64 (*.f64 904338909853211/11250000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))) (*.f64 2/3 (/.f64 (-.f64 23912966683069397/40000000000000 (+.f64 (*.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (*.f64 904338909853211/3750000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))))) (cbrt.f64 469507597606837/10000000000000))))) (*.f64 1/3 (-.f64 23912966683069397/40000000000000 (+.f64 (*.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (*.f64 904338909853211/3750000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 817828863874494091501567010521/28125000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (*.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 1/3 (-.f64 2076511864126339/4000000000000 (*.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)))))) (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 (*.f64 904338909853211/7500000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (*.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)))))))
(fma.f64 (fma.f64 904338909853211/11250000000000 (*.f64 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)))) (fma.f64 904338909853211/7500000000000 (*.f64 (fma.f64 2/3 (/.f64 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 904338909853211/11250000000000 (*.f64 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)))) (*.f64 2/3 (/.f64 (-.f64 (-.f64 23912966683069397/40000000000000 (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (*.f64 904338909853211/3750000000000 (*.f64 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)))))) (cbrt.f64 469507597606837/10000000000000)))) (*.f64 1/3 (-.f64 (-.f64 23912966683069397/40000000000000 (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (*.f64 904338909853211/3750000000000 (*.f64 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)))))))))) (pow.f64 z 3) (fma.f64 (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (cbrt.f64 469507597606837/10000000000000) (*.f64 1/3 (+.f64 2076511864126339/4000000000000 (*.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)))))))) (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000)))))
(fma.f64 (fma.f64 904338909853211/11250000000000 (*.f64 (-.f64 2076511864126339/4000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)))) (fma.f64 904338909853211/7500000000000 (*.f64 (fma.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (cbrt.f64 469507597606837/10000000000000)) (*.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 2/3 (/.f64 (-.f64 23912966683069397/40000000000000 (fma.f64 (*.f64 904338909853211/3750000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)))) (-.f64 2076511864126339/4000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 (-.f64 2076511864126339/4000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (*.f64 904338909853211/11250000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)))))) (*.f64 1/3 (-.f64 23912966683069397/40000000000000 (fma.f64 (*.f64 904338909853211/3750000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)))) (-.f64 2076511864126339/4000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))))))) (pow.f64 z 3) (fma.f64 (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (cbrt.f64 469507597606837/10000000000000)) (*.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (+.f64 2076511864126339/12000000000000 (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000))))) (*.f64 z z) (fma.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000) 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (+.f64 2076511864126339/12000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/56250000000000000000000000))))) (fma.f64 (fma.f64 904338909853211/7500000000000 (*.f64 (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) (*.f64 904338909853211/11250000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)))) (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 2/3 (/.f64 (-.f64 23912966683069397/40000000000000 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) (*.f64 904338909853211/3750000000000 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000)) (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (cbrt.f64 469507597606837/10000000000000)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) (*.f64 904338909853211/11250000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)))))) (+.f64 23912966683069397/120000000000000 (*.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) (*.f64 904338909853211/3750000000000 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000)) (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))))))) (pow.f64 z 3) (fma.f64 z (*.f64 (cbrt.f64 (*.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (+.f64 2076511864126339/12000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/56250000000000000000000000)))) (fma.f64 (fma.f64 904338909853211/7500000000000 (*.f64 (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (+.f64 (+.f64 (+.f64 23912966683069397/120000000000000 (*.f64 1/3 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) -904338909853211/3750000000000) (/.f64 -739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))))) (/.f64 (+.f64 23912966683069397/40000000000000 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) -904338909853211/3750000000000) (/.f64 -739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) 3/2)) (*.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) 904338909853211/11250000000000) (+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) (*.f64 (cbrt.f64 469507597606837/10000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)))))))) (pow.f64 z 3) (fma.f64 z (*.f64 (cbrt.f64 (*.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (+.f64 2076511864126339/12000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/56250000000000000000000000)))) (fma.f64 (fma.f64 904338909853211/7500000000000 (*.f64 (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (+.f64 (+.f64 (+.f64 23912966683069397/120000000000000 (*.f64 1/3 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) -904338909853211/3750000000000) (/.f64 -739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))))) (-.f64 23912966683069397/60000000000000 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) (*.f64 904338909853211/3750000000000 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000)) (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) 3/2))) (*.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) 904338909853211/11250000000000) (+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) (*.f64 (cbrt.f64 469507597606837/10000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)))))))) (pow.f64 z 3) (fma.f64 z (*.f64 (cbrt.f64 (*.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) 469507597606837/10000000000000)))

localize43.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
✓0.5b
(/.f64 (exp.f64 -15/2) z)
✓0.7b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 73 to 57 computations (21.9% saved)

series10.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
2.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
2.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
1.0ms
z
@0
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
1.0ms
z
@inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))

rewrite89.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
922×log-prod_binary64
340×expm1-udef_binary64
340×log1p-udef_binary64
278×log-pow_binary64
196×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01845
139745
2498845
Stop Event
1×node limit
Counts
3 → 80
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(/.f64 (exp.f64 -15/2) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (neg.f64 (exp.f64 -15/2))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -5) (*.f64 (exp.f64 -5/2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (/.f64 (exp.f64 -15/4) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/4) (*.f64 (exp.f64 -15/4) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) 1) (/.f64 (exp.f64 -5/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/4) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) (sqrt.f64 z)) (/.f64 (exp.f64 -5/2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (exp.f64 -15/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 -45/2) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -15/2 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1))))))

simplify49.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
604×associate-*l*_binary64
593×associate-*r*_binary64
560×distribute-rgt-out_binary64
477×times-frac_binary64
447×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075588
1231561
2790511
34944480
Stop Event
1×node limit
Counts
92 → 91
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)) (sqrt.f64 (PI.f64)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
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(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))

localize103.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 3464024008321714637421/25000000000000000000000 z)
✓0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 245 to 171 computations (30.2% saved)

series4.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
1.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
1.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
0.0ms
z
@0
(/.f64 3464024008321714637421/25000000000000000000000 z)
0.0ms
z
@inf
(/.f64 3464024008321714637421/25000000000000000000000 z)

rewrite69.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
639×log-prod_binary64
341×pow2_binary64
324×prod-diff_binary64
241×pow1/3_binary64
237×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
126223
2341523
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
(/.f64 3464024008321714637421/25000000000000000000000 z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) 1) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (exp.f64 (*.f64 3 (+.f64 z -15/2)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 3 (+.f64 z -15/2))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (exp.f64 (*.f64 3 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 (*.f64 3 (+.f64 z -15/2))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 z -15/2) (log.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (+.f64 z -15/2) (log.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 3464024008321714637421/25000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3464024008321714637421/25000000000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3464024008321714637421/25000000000000000000000 (pow.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 3464024008321714637421/25000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 2) (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3464024008321714637421/25000000000000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1) 3464024008321714637421/25000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 25000000000000000000000/3464024008321714637421) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z 25000000000000000000000/3464024008321714637421) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3464024008321714637421/25000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 1))))))

simplify46.0ms (0%)

Algorithm
1×egg-herbie
Rules
831×fma-def_binary64
363×times-frac_binary64
297×distribute-rgt-in_binary64
263×associate-+l-_binary64
245×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039266
199259
2235251
3964242
43803242
Stop Event
1×node limit
Counts
71 → 68
Calls
Call 1
Inputs
(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
Outputs
(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1/2) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1/6)) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/6))) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/2)) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1/6) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (*.f64 z z) (fma.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1/2) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (*.f64 1/6 (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (*.f64 z z) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1/6)) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/6))) (fma.f64 z (*.f64 1/6 (*.f64 (*.f64 (+.f64 (pow.f64 (PI.f64) 2) 1) (exp.f64 -15/2)) z)) (/.f64 (exp.f64 -15/2) z))))
(fma.f64 z (fma.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/2) (*.f64 z (*.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/6)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))
(fma.f64 z (fma.f64 z (*.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/6)) (*.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/2))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))

localize156.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
✓1.0b
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 398 to 297 computations (25.4% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
0.0ms
z
@0
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms
z
@inf
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite78.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
528×add-sqr-sqrt_binary64
501×add-cbrt-cube_binary64
501×add-log-exp_binary64
500×add-exp-log_binary64
500×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042106
11030106
Stop Event
1×node limit
Counts
2 → 17
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 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3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))

simplify72.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
412×fma-def_binary64
345×cancel-sign-sub-inv_binary64
287×distribute-rgt-neg-out_binary64
286×associate-*r*_binary64
283×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0122775
1360743
21176645
34768572
Stop Event
1×node limit
Counts
41 → 52
Calls
Call 1
Inputs
904816194325545171523082059/4200000000000000000000000
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))))
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 11905579114879117765036105003169999/19914854400000000000000000000000 (exp.f64 -15/2)) (*.f64 105236551628368649859877317613/470400000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))
Outputs
904816194325545171523082059/4200000000000000000000000
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)
(fma.f64 20156346989378558979877317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000)
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 20156346989378558979877317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z)))
(fma.f64 20156346989378558979877317613/235200000000000000000000000 z (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000))
(fma.f64 20156346989378558979877317613/235200000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000))
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 (fma.f64 20156346989378558979877317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 20156346989378558979877317613/235200000000000000000000000 z (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000)))
(fma.f64 20156346989378558979877317613/235200000000000000000000000 z (fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000)))
(*.f64 7713234287776531/90000000000000 z)
(*.f64 z 7713234287776531/90000000000000)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 (*.f64 z 7713234287776531/90000000000000) 646366562873259793/3000000000000000)
(fma.f64 z 7713234287776531/90000000000000 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (fma.f64 7713234287776531/90000000000000 z (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 646366562873259793/3000000000000000 (fma.f64 z 7713234287776531/90000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 646366562873259793/3000000000000000) (/.f64 3464024008321714637421/25000000000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))))
(+.f64 646366562873259793/3000000000000000 (fma.f64 7713234287776531/90000000000000 z (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (fma.f64 z 7713234287776531/90000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (fma.f64 z 7713234287776531/90000000000000 (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z))))
(+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (+.f64 646366562873259793/3000000000000000 (fma.f64 z 7713234287776531/90000000000000 (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z))))
(*.f64 7713234287776531/90000000000000 z)
(*.f64 z 7713234287776531/90000000000000)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 (*.f64 z 7713234287776531/90000000000000) 646366562873259793/3000000000000000)
(fma.f64 z 7713234287776531/90000000000000 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (fma.f64 7713234287776531/90000000000000 z (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 646366562873259793/3000000000000000 (fma.f64 z 7713234287776531/90000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 646366562873259793/3000000000000000) (/.f64 3464024008321714637421/25000000000000000000000 z))
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(fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (PI.f64) z))) (fma.f64 7713234287776531/90000000000000 (/.f64 (*.f64 z (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 z -15/2)))))))
(fma.f64 7713234287776531/90000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (PI.f64)) (*.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 6493665628732592227/30000000000000000 (/.f64 14568935239021264214637421/25000000000000000000000 z))))
(fma.f64 7713234287776531/90000000000000 (*.f64 (*.f64 z (PI.f64)) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 6493665628732592227/30000000000000000 (/.f64 14568935239021264214637421/25000000000000000000000 z))))
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 7713234287776531/90000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 7713234287776531/90000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (PI.f64)))) (fma.f64 11516183879996384915397167/6250000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (*.f64 z z))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (PI.f64) z))) (fma.f64 7713234287776531/90000000000000 (/.f64 (*.f64 z (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (fma.f64 6493665628732592227/30000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (*.f64 11516183879996384915397167/6250000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (*.f64 z z) (sin.f64 (*.f64 z (PI.f64))))) (PI.f64))))))
(fma.f64 7713234287776531/90000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (PI.f64)) (fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (/.f64 z (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 6493665628732592227/30000000000000000 (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z))))))
(fma.f64 7713234287776531/90000000000000 (*.f64 (*.f64 z (PI.f64)) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z)) (/.f64 14568935239021264214637421/25000000000000000000000 z)))))

localize220.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.0b
(+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000))
Compiler

Compiled 588 to 452 computations (23.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000))
1.0ms
z
@inf
(+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000))
0.0ms
z
@-inf
(+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000))

rewrite75.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
537×log-prod_binary64
414×fma-def_binary64
335×pow2_binary64
313×pow-prod-down_binary64
233×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01116
126414
2357712
Stop Event
1×node limit
Counts
1 → 60
Calls
Call 1
Inputs
(+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000))
Outputs
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simplify10.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
72 → 64
Calls
Call 1
Inputs
939015195213674/6765203681218851
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
Outputs
939015195213674/6765203681218851
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)

eval1.1s (1.1%)

Compiler

Compiled 59307 to 45442 computations (23.4% saved)

prune204.0ms (0.2%)

Pruning

49 alts after pruning (42 fresh and 7 done)

PrunedKeptTotal
New82423847
Fresh91928
Picked011
Done268
Total83549884
Error
0b
Counts
884 → 49
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 646366562873259793/3000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶50.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
39.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.9b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3683516130645841/2000000000000 z) z) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
48.9b
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
2.1b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
2.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
1.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
▶2.1b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.8b
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3)
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) (+.f64 55728092402103980331216637639/78400000000000000000000000 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (*.f64 z (*.f64 (exp.f64 -15/2) (+.f64 130187817217764765888751114613579/118540800000000000000000000000 (*.f64 (pow.f64 (PI.f64) 2) 1106209385320415913103082059/25200000000000000000000000)))))))
1.9b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 2))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 3) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
1.4b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
✓2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
✓2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 55728092402103980331216637639/78400000000000000000000000 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.4b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.6b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
3.0b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
▶2.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
1.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3)))
62.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.9b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
✓2.0b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.2b
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 (/.f64 -66801875443113257/40000000000000 z) z) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.0b
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (*.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))) (/.f64 (exp.f64 -15/2) z))))
Compiler

Compiled 4291 to 3574 computations (16.7% saved)

localize225.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.0b
(-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
Compiler

Compiled 593 to 454 computations (23.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
1.0ms
z
@-inf
(-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
0.0ms
z
@inf
(-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))

rewrite79.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
850×prod-diff_binary64
602×unpow-prod-down_binary64
441×log-prod_binary64
308×fma-def_binary64
283×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
122712
2291212
Stop Event
1×node limit
Counts
1 → 98
Calls
Call 1
Inputs
(-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
Outputs
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(fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) z)) 2)) (cbrt.f64 (fma.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) z))) (sqrt.f64 (fma.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) z)) 2)))))

simplify10.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
110 → 102
Calls
Call 1
Inputs
939015195213674/6765203681218851
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
Outputs
939015195213674/6765203681218851
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(*.f64 5826188486005177/6765203681218851 z)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)
(+.f64 939015195213674/6765203681218851 (*.f64 5826188486005177/6765203681218851 z))
(fma.f64 5826188486005177/6765203681218851 z 939015195213674/6765203681218851)

localize42.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
✓0.7b
(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
✓0.7b
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 72 to 56 computations (22.2% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
0.0ms
z
@0
(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
0.0ms
z
@-inf
(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
0.0ms
z
@inf
(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
0.0ms
z
@0
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))

rewrite90.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
905×log-prod_binary64
339×expm1-udef_binary64
339×log1p-udef_binary64
277×log-pow_binary64
196×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
139843
2494543
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) -1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 z z)) (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 -45/2) (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3) (exp.f64 -45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -15/2 (log.f64 (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 -15/2 (log.f64 (*.f64 z 4200000000000000000000000/1106209385320415913103082059))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (cbrt.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (cbrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 z z))) (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) 1106209385320415913103082059/4200000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 4200000000000000000000000/1106209385320415913103082059) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 1))))))
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simplify52.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
600×associate-*l*_binary64
595×associate-*r*_binary64
560×distribute-rgt-out_binary64
481×times-frac_binary64
447×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077696
1236669
2798619
34958588
Stop Event
1×node limit
Counts
95 → 83
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 15/2))) (sqrt.f64 2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z))))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3)))))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 15/2))) (sqrt.f64 2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z))))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (*.f64 (log.f64 15/2) -29/225) -1/10125)) (*.f64 (*.f64 z z) (sqrt.f64 (PI.f64)))))))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 z (*.f64 (*.f64 z (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (*.f64 (log.f64 15/2) -29/225) -1/10125))) (sqrt.f64 2))))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (-.f64 -1/15 (log.f64 15/2)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 2)))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
✓0.6b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
✓1.0b
(sqrt.f64 (PI.f64))
✓1.0b
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
Compiler

Compiled 66 to 57 computations (13.6% saved)

series9.0ms (0%)

Counts
4 → 0
Calls

6 calls:

TimeVariablePointExpression
5.0ms
z
@0
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
1.0ms
z
@inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
1.0ms
z
@-inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
0.0ms
z
@-inf
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
0.0ms
z
@0
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)

rewrite85.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
795×log-prod_binary64
388×pow2_binary64
343×pow-unpow_binary64
276×pow1/3_binary64
269×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01653
132949
2395149
Stop Event
1×node limit
Counts
4 → 118
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(sqrt.f64 (PI.f64))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
Outputs
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simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
118 → 118
Calls
Call 1
Inputs
Outputs

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
✓0.4b
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
✓0.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 118 to 73 computations (38.1% saved)

series12.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
2.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
2.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
1.0ms
z
@-inf
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
1.0ms
z
@inf
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))

rewrite93.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
413×expm1-udef_binary64
413×log1p-udef_binary64
396×prod-diff_binary64
236×add-sqr-sqrt_binary64
227×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02184
147084
2626784
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6493665628732592227/30000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) 1) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 6493665628732592227/30000000000000000) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 (exp.f64 (+.f64 z -15/2)))) 6493665628732592227/30000000000000000) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 (+.f64 z -15/2))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (neg.f64 (exp.f64 (+.f64 z -15/2))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6493665628732592227/30000000000000000) (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))) 1))))))

simplify73.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
778×fma-def_binary64
740×associate-*r*_binary64
727×associate-*l*_binary64
324×*-commutative_binary64
294×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01331320
14391222
214981110
379761110
Stop Event
1×node limit
Counts
111 → 112
Calls
Call 1
Inputs
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 6493665628732592227/30000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (sqrt.f64 2)) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 6493665628732592227/30000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 6493665628732592227/30000000000000000 (exp.f64 -15/2)))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z)) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 6493665628732592227/30000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z)) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 -15/2)) (*.f64 6493665628732592227/30000000000000000 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 1/6 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))))))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
Outputs
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (sqrt.f64 15/2)) (/.f64 z 6493665628732592227/30000000000000000))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
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(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (fabs.f64 (pow.f64 (PI.f64) 3/2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (*.f64 6493665628732592227/30000000000000000 (pow.f64 (PI.f64) 3/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (fabs.f64 (pow.f64 (PI.f64) 3/2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (*.f64 6493665628732592227/30000000000000000 (pow.f64 (PI.f64) 3/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 6493665628732592227/30000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (fabs.f64 (pow.f64 (PI.f64) 3/2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (*.f64 6493665628732592227/30000000000000000 (pow.f64 (PI.f64) 3/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1/2) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (*.f64 (*.f64 (exp.f64 -15/2) 1/6) (pow.f64 (PI.f64) 2))) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/6 (pow.f64 (PI.f64) 2)) 1/2)) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1/6) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (*.f64 z z) (fma.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1/2) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (*.f64 z z) (*.f64 1/6 (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (*.f64 (*.f64 (exp.f64 -15/2) 1/6) (pow.f64 (PI.f64) 2))) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/6 (pow.f64 (PI.f64) 2)) 1/2)) (fma.f64 (*.f64 z z) (*.f64 (exp.f64 -15/2) (+.f64 1/6 (*.f64 1/6 (pow.f64 (PI.f64) 2)))) (/.f64 (exp.f64 -15/2) z))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z))
(/.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 -15/2)) z)
(/.f64 6493665628732592227/30000000000000000 (/.f64 z (exp.f64 -15/2)))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 6493665628732592227/30000000000000000 (exp.f64 -15/2)))
(*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z)) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 6493665628732592227/30000000000000000 (exp.f64 -15/2))))
(fma.f64 6493665628732592227/30000000000000000 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) 1/2) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))))
(*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (*.f64 (*.f64 (exp.f64 -15/2) 1/6) (pow.f64 (PI.f64) 2))) (/.f64 (exp.f64 -15/2) z))))
(*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/6 (pow.f64 (PI.f64) 2)) 1/2)) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (-.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z)) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 -15/2)) (*.f64 6493665628732592227/30000000000000000 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 1/6 (exp.f64 -15/2)) (*.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))))))))
(fma.f64 6493665628732592227/30000000000000000 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) 1/2) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (fma.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (*.f64 (*.f64 z z) (+.f64 (*.f64 (exp.f64 -15/2) 1/6) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))))))))
(+.f64 (*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (*.f64 (*.f64 (exp.f64 -15/2) 1/6) (pow.f64 (PI.f64) 2))) (/.f64 (exp.f64 -15/2) z)))) (*.f64 6493665628732592227/30000000000000000 (*.f64 z (*.f64 z (*.f64 1/6 (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))))))
(*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/6 (pow.f64 (PI.f64) 2)) 1/2)) (fma.f64 (*.f64 z z) (*.f64 (exp.f64 -15/2) (+.f64 1/6 (*.f64 1/6 (pow.f64 (PI.f64) 2)))) (/.f64 (exp.f64 -15/2) z)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (/.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (/.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (/.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(*.f64 6493665628732592227/30000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (/.f64 (*.f64 6493665628732592227/30000000000000000 (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))

localize162.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓1.0b
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000)
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 416 to 314 computations (24.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000)
0.0ms
z
@inf
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000)
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms
z
@inf
(+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms
z
@-inf
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000)

rewrite90.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
300×add-sqr-sqrt_binary64
287×add-exp-log_binary64
287×add-log-exp_binary64
287×log1p-expm1-u_binary64
287×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02341
158437
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000)
(+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
Outputs
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((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (+.f64 -41652288634797769/1000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)) 2) (cbrt.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)) (+.f64 -41652288634797769/1000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)) 2) (cbrt.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)) (sqrt.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)) (+.f64 -41652288634797769/1000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)) (sqrt.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000))))))

simplify71.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
530×fma-def_binary64
512×associate-*l*_binary64
425×associate-/r*_binary64
342×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034175
180171
2173171
3428165
4993164
52920164
65988164
76688164
Stop Event
1×node limit
Counts
109 → 100
Calls
Call 1
Inputs
646366562873259793/3000000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
904816194325545171523082059/4200000000000000000000000
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))))
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))))
Outputs
646366562873259793/3000000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000)
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
904816194325545171523082059/4200000000000000000000000
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)
(fma.f64 20156346989378558979877317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000)
(fma.f64 z 20156346989378558979877317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)
(+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 20156346989378558979877317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z)))
(fma.f64 z 20156346989378558979877317613/235200000000000000000000000 (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000))
(fma.f64 z 20156346989378558979877317613/235200000000000000000000000 (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000))
(fma.f64 z (fma.f64 z -76044331624539137747479981/118540800000000000000000000000 20156346989378558979877317613/235200000000000000000000000) 904816194325545171523082059/4200000000000000000000000)
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 (fma.f64 20156346989378558979877317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 z 20156346989378558979877317613/235200000000000000000000000 (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000)))
(fma.f64 z 20156346989378558979877317613/235200000000000000000000000 (fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000)))
(fma.f64 z (fma.f64 z -76044331624539137747479981/118540800000000000000000000000 20156346989378558979877317613/235200000000000000000000000) (fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) 904816194325545171523082059/4200000000000000000000000))
(fma.f64 z (+.f64 20156346989378558979877317613/235200000000000000000000000 (*.f64 z (fma.f64 z -2129255331893733814996830001/19914854400000000000000000000000 -76044331624539137747479981/118540800000000000000000000000))) 904816194325545171523082059/4200000000000000000000000)
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (fma.f64 7713234287776531/90000000000000 z (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (/.f64 3464024008321714637421/25000000000000000000000 z))
(fma.f64 7713234287776531/90000000000000 z (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))))
(+.f64 646366562873259793/3000000000000000 (fma.f64 7713234287776531/90000000000000 z (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (fma.f64 7713234287776531/90000000000000 z (/.f64 3464024008321714637421/25000000000000000000000 z)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (fma.f64 7713234287776531/90000000000000 z (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(*.f64 7713234287776531/90000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000)
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 646366562873259793/3000000000000000 (fma.f64 7713234287776531/90000000000000 z (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (/.f64 3464024008321714637421/25000000000000000000000 z))
(fma.f64 7713234287776531/90000000000000 z (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))))
(+.f64 646366562873259793/3000000000000000 (fma.f64 7713234287776531/90000000000000 z (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (fma.f64 7713234287776531/90000000000000 z (/.f64 3464024008321714637421/25000000000000000000000 z)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (fma.f64 7713234287776531/90000000000000 z (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 646366562873259793/3000000000000000) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))

eval830.0ms (0.9%)

Compiler

Compiled 46553 to 35786 computations (23.1% saved)

prune171.0ms (0.2%)

Pruning

50 alts after pruning (40 fresh and 10 done)

PrunedKeptTotal
New77417791
Fresh142337
Picked011
Done2911
Total79050840
Error
0b
Counts
840 → 50
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 646366562873259793/3000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.6b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
✓2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
48.9b
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
2.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) 1106209385320415913103082059/4200000000000000000000000))))
2.1b
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
2.6b
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
2.0b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))
62.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
2.1b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
2.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) (+.f64 55728092402103980331216637639/78400000000000000000000000 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (*.f64 z (*.f64 (exp.f64 -15/2) (+.f64 130187817217764765888751114613579/118540800000000000000000000000 (*.f64 (pow.f64 (PI.f64) 2) 1106209385320415913103082059/25200000000000000000000000)))))))
50.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 6493665628732592227/30000000000000000 (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
2.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) (/.f64 1 z))) (sqrt.f64 (PI.f64))))
3.2b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
3.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
3.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
1.4b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 3) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
✓2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
✓2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 55728092402103980331216637639/78400000000000000000000000 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))
50.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))))))))
2.5b
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
48.9b
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
50.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 6493665628732592227/30000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))))))
1.4b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓2.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
3.0b
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z))))
62.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓2.0b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.2b
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 (/.f64 -66801875443113257/40000000000000 z) z) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3683516130645841/2000000000000 z) z) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 2228 to 1852 computations (16.9% saved)

regimes194.0ms (0.2%)

Counts
86 → 1
Calls
Call 1
Inputs
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
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(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 3) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (sqrt.f64 (pow.f64 (neg.f64 z) 2)) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 3) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (*.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Calls

2 calls:

41.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
38.0ms
z
Results
ErrorSegmentsBranch
0.5b1z
0.5b1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 4336 to 3395 computations (21.7% saved)

regimes170.0ms (0.2%)

Counts
79 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
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Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

2 calls:

39.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
35.0ms
z
Results
ErrorSegmentsBranch
0.7b1z
0.7b1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 3670 to 2848 computations (22.4% saved)

regimes163.0ms (0.2%)

Counts
78 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
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(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 2 (+.f64 z (*.f64 3147848041806007/2500000000000 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

2 calls:

39.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
34.0ms
z
Results
ErrorSegmentsBranch
0.7b1z
0.7b1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 3593 to 2789 computations (22.4% saved)

regimes86.0ms (0.1%)

Counts
64 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) 1106209385320415913103082059/4200000000000000000000000))))
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Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

29.0ms
z
Results
ErrorSegmentsBranch
1.7b1z
Compiler

Compiled 2187 to 1655 computations (24.3% saved)

regimes79.0ms (0.1%)

Counts
61 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3683516130645841/2000000000000 z) z) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 (/.f64 -66801875443113257/40000000000000 z) z) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

25.0ms
z
Results
ErrorSegmentsBranch
1.8b1z
Compiler

Compiled 1977 to 1499 computations (24.2% saved)

regimes69.0ms (0.1%)

Counts
56 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 7713234287776531/90000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (*.f64 20156346989378558979877317613/235200000000000000000000000 z) 904816194325545171523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3683516130645841/2000000000000 z) z) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 646366562873259793/3000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
Calls

1 calls:

26.0ms
z
Results
ErrorSegmentsBranch
1.9b1z
Compiler

Compiled 1657 to 1261 computations (23.9% saved)

regimes25.0ms (0%)

Counts
25 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) 1106209385320415913103082059/4200000000000000000000000))))
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 55728092402103980331216637639/78400000000000000000000000 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))) (/.f64 (exp.f64 -15/2) z))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))
Calls

1 calls:

12.0ms
z
Results
ErrorSegmentsBranch
2.0b1z
Compiler

Compiled 480 to 385 computations (19.8% saved)

regimes9.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
Outputs
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
Calls

1 calls:

5.0ms
z
Results
ErrorSegmentsBranch
2.6b1z
Compiler

Compiled 99 to 81 computations (18.2% saved)

regimes8.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
Calls

1 calls:

5.0ms
z
Results
ErrorSegmentsBranch
3.0b1z
Compiler

Compiled 80 to 66 computations (17.5% saved)

regimes6.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
Calls

1 calls:

3.0ms
z
Results
ErrorSegmentsBranch
3.0b1z
Compiler

Compiled 48 to 40 computations (16.7% saved)

regimes5.0ms (0%)

Accuracy

Total -46.0b remaining (-1434.1%)

Threshold costs -46.0b (-1434.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
Outputs
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
Calls

1 calls:

3.0ms
z
Results
ErrorSegmentsBranch
3.2b1z
Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify212.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
406×distribute-rgt-neg-in_binary64
328×cancel-sign-sub-inv_binary64
287×distribute-lft-neg-out_binary64
259×neg-sub0_binary64
259×neg-mul-1_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0163795
1269795
2290793
3302793
4311793
5325793
6374793
7418793
8467793
9519793
10560793
11600793
12682793
13827793
141047793
151328793
161660793
172018793
182362793
192641793
202844793
212984793
223081793
233172793
243234793
253306793
263352793
273389793
283451793
293460793
303463793
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15)))) z)) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 7) 1/2) (+.f64 (+.f64 (-.f64 1 z) -1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 7) 1/2) (+.f64 (+.f64 (-.f64 1 z) -1) 1/2))) (exp.f64 (-.f64 -1/2 (+.f64 (+.f64 (-.f64 1 z) -1) 7)))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 7) 1/2) (+.f64 (+.f64 (-.f64 1 z) -1) 1/2))) (exp.f64 (+.f64 (-.f64 -7 (+.f64 (-.f64 1 z) -1)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 8)))))
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(sqrt.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 2 (*.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
Compiler

Compiled 518 to 437 computations (15.6% saved)

soundness0.0ms (0%)

end221.0ms (0.2%)

Compiler

Compiled 507 to 400 computations (21.1% saved)

Profiling

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