Details

Time bar (total: 1.0min)

analyze2.4s (3.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%74.9%25.1%0
0%74.9%25.1%1
0%74.9%25.1%2
18.7%56.2%25.1%3
37.5%37.5%25.1%4
42.1%32.8%25.1%5
46.8%28.1%25.1%6
48%26.9%25.1%7
49.2%25.8%25.1%8
49.5%25.5%25.1%9
49.8%25.2%25.1%10
49.8%25.2%25.1%11
49.8%25.1%25.1%12
49.9%25%25.1%13
49.9%25%25.1%14
Compiler

Compiled 127 to 112 computations (11.8% saved)

sample57.4s (92.4%)

Results
52.5s3956×body8192exit
4.9s8256×body128valid
40.0ms83×body128invalid
Compiler

Compiled 254 to 224 computations (11.8% saved)

preprocess39.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
343×associate-+l+_binary64
293×associate-+r+_binary64
271×distribute-rgt-in_binary64
266×distribute-lft-in_binary64
222×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061156
1160147
2637119
34406115
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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
Compiler

Compiled 124 to 110 computations (11.3% saved)

simplify42.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
343×associate-+l+_binary64
293×associate-+r+_binary64
271×distribute-rgt-in_binary64
266×distribute-lft-in_binary64
222×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061156
1160147
2637119
34406115
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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

prune12.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
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)))))
Compiler

Compiled 596 to 508 computations (14.8% saved)

localize67.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
✓1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))

series20.0ms (0%)

Counts
4 → 28
Calls

9 calls:

TimeVariablePointExpression
7.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
6.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms
z
@0
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
1.0ms
z
@inf
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))

rewrite52.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055143
11373143
Stop Event
1×node limit
Counts
4 → 41
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (-.f64 4 z)) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))))

simplify64.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
885×fma-def_binary64
346×times-frac_binary64
213×cancel-sign-sub-inv_binary64
193×associate-*r*_binary64
150×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02081933
16641895
225101731
Stop Event
1×node limit
Counts
69 → 78
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))
(-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))))
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(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))
(-.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
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(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))
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(/.f64 -47576671969241/80000000000 z)
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(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))))
(/.f64 -47576671969241/80000000000 z)
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(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 892/3375 (/.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 7/15 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))
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(+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))
(fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (-.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2))) (/.f64 (exp.f64 15/2) (sqrt.f64 2))))))
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(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(-.f64 (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2)) (exp.f64 15/2)))
(-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z)))
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))))
(-.f64 (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) (fma.f64 127/225 (/.f64 (*.f64 z z) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2)) (exp.f64 15/2)) (*.f64 14/15 (/.f64 (*.f64 (*.f64 (log.f64 15/2) (*.f64 z z)) (sqrt.f64 15/2)) (exp.f64 15/2)))))
(-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 892/3375 (/.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 7/15 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) (fma.f64 892/3375 (/.f64 (pow.f64 z 3) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 14/15 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 127/225 (/.f64 (*.f64 z z) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 7/15 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (/.f64 (*.f64 (*.f64 (log.f64 15/2) (*.f64 z z)) (sqrt.f64 15/2)) (exp.f64 15/2)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 15/2) 3) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (fma.f64 127/225 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2)) (exp.f64 15/2))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 892/3375 (*.f64 (/.f64 (pow.f64 z 3) (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (fma.f64 7/15 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (fma.f64 127/225 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 892/3375 (*.f64 (/.f64 (pow.f64 z 3) (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (fma.f64 7/15 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z) (fma.f64 127/225 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (/.f64 (*.f64 1/6 (pow.f64 (log.f64 15/2) 3)) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))))))))

prune236.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh101
Picked101
Done000
Total76480
Error
0.2b
Counts
80 → 4
Alt Table
StatusErrorProgram
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 z z))))) (*.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (exp.f64 15/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))))) 2408637854869972117504576098451/7056000000000000000000000000) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (exp.f64 15/2)) 395971232097753800969862781701012907/276595200000000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (log.f64 15/2)))))))) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))))) 1106209385320415913103082059/25200000000000000000000000) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) (exp.f64 15/2)) 2408637854869972117504576098451/3528000000000000000000000000)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))))) 3264229102083425005530891465931403/2963520000000000000000000000000))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
▶0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
Compiler

Compiled 7667 to 5967 computations (22.2% saved)

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓1.0b
(*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))

series46.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
21.0ms
z
@0
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
13.0ms
z
@-inf
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
6.0ms
z
@inf
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
3.0ms
z
@-inf
(*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
2.0ms
z
@0
(*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

rewrite51.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
674×add-log-exp_binary64
674×log1p-expm1-u_binary64
674×expm1-log1p-u_binary64
668×pow1_binary64
55×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056197
11391197
Stop Event
1×node limit
Counts
2 → 18
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
Outputs
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simplify77.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
608×associate-*r*_binary64
409×associate-*l*_binary64
292×times-frac_binary64
256×associate-/l*_binary64
244×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03414718
111984457
Stop Event
1×node limit
Counts
42 → 48
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))
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(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (+.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 373881293403251752186459607854842487785243531241/1250000000000000000000000000000000000000000000 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2) (pow.f64 z 2)))))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))) (+.f64 1 (+.f64 (*.f64 659391066937744943757856766914368389870040663693/156250000000000000000000000000000000000000000 (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2) (pow.f64 z 3)))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (sqrt.f64 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 228612832529008218773333374170373100626313392698411571449045763623830539/93750000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (pow.f64 (sqrt.f64 2) 3))) (*.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (pow.f64 z 3))))))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))
(-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
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(-.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (exp.f64 (-.f64 15/2 z))) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 z z)))) (+.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (/.f64 (*.f64 373881293403251752186459607854842487785243531241/1250000000000000000000000000000000000000000000 (*.f64 (*.f64 (PI.f64) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))))) (*.f64 (*.f64 z z) (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))))) (fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (exp.f64 (-.f64 15/2 z))) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) z))) 1))
(-.f64 (fma.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (-.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))) (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 z z) (sqrt.f64 2)))) (fma.f64 373881293403251752186459607854842487785243531241/1250000000000000000000000000000000000000000000 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (pow.f64 (exp.f64 (-.f64 15/2 z)) 2)) (/.f64 (PI.f64) (*.f64 z z))) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (exp.f64 (-.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))) (-.f64 15/2 z))) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 2))) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (+.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 373881293403251752186459607854842487785243531241/1250000000000000000000000000000000000000000000 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2) (pow.f64 z 2)))))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))) (+.f64 1 (+.f64 (*.f64 659391066937744943757856766914368389870040663693/156250000000000000000000000000000000000000000 (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2) (pow.f64 z 3)))) (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (sqrt.f64 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (*.f64 228612832529008218773333374170373100626313392698411571449045763623830539/93750000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (*.f64 (exp.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (pow.f64 (sqrt.f64 2) 3))) (*.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (pow.f64 z 3))))))))))
(-.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (exp.f64 (-.f64 15/2 z))) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 z z)))) (+.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (/.f64 (*.f64 373881293403251752186459607854842487785243531241/1250000000000000000000000000000000000000000000 (*.f64 (*.f64 (PI.f64) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))))) (*.f64 (*.f64 z z) (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))))) (+.f64 (fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (exp.f64 (-.f64 15/2 z))) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) z))) 1) (fma.f64 659391066937744943757856766914368389870040663693/156250000000000000000000000000000000000000000 (*.f64 (/.f64 (PI.f64) (pow.f64 (exp.f64 (-.f64 15/2 z)) 2)) (/.f64 (*.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) (pow.f64 z 3))) (fma.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (pow.f64 z 3)))) (*.f64 228612832529008218773333374170373100626313392698411571449045763623830539/93750000000000000000000000000000000000000000000000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 2) 3))) (*.f64 (pow.f64 z 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3))))))))
(-.f64 (fma.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (-.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))) (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 z z) (sqrt.f64 2)))) (fma.f64 373881293403251752186459607854842487785243531241/1250000000000000000000000000000000000000000000 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (pow.f64 (exp.f64 (-.f64 15/2 z)) 2)) (/.f64 (PI.f64) (*.f64 z z))) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (+.f64 (fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (exp.f64 (-.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))) (-.f64 15/2 z))) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 2))) (sqrt.f64 (PI.f64)))) 1) (fma.f64 659391066937744943757856766914368389870040663693/156250000000000000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))) (*.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))) (PI.f64))) (*.f64 (pow.f64 z 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))) (fma.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)) (/.f64 (pow.f64 z 3) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))))) (/.f64 (*.f64 (*.f64 228612832529008218773333374170373100626313392698411571449045763623830539/93750000000000000000000000000000000000000000000000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)) (*.f64 (/.f64 (pow.f64 z 3) (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2))))) (/.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (*.f64 (sqrt.f64 2) 2))))))))

prune233.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh123
Picked011
Done000
Total85489
Error
0.2b
Counts
89 → 4
Alt Table
StatusErrorProgram
▶0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))))
✓0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
Compiler

Compiled 10081 to 7993 computations (20.7% saved)

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓1.0b
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.0b
(pow.f64 (log.f64 15/2) 2)

series16.0ms (0%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
5.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
4.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

rewrite63.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
841×pow1_binary64
835×log1p-expm1-u_binary64
835×expm1-log1p-u_binary64
73×add-log-exp_binary64
72×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073202
11756202
Stop Event
1×node limit
Counts
3 → 28
Calls
Call 1
Inputs
(pow.f64 (log.f64 15/2) 2)
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 15/2) (log.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 15/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 15/2) 2)) (cbrt.f64 (pow.f64 (log.f64 15/2) 2))) (cbrt.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log.f64 15/2) 2)) (sqrt.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 (log.f64 15/2) 2)) (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (log.f64 15/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 15/2)) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 15/2) (/.f64 1 (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (sqrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))))
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simplify68.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
439×cancel-sign-sub-inv_binary64
291×fma-def_binary64
255×times-frac_binary64
209×associate-*r*_binary64
198×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02102570
17312552
231742309
Stop Event
1×node limit
Counts
40 → 49
Calls
Call 1
Inputs
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Outputs
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2))))
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(fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))))))
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prune211.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh022
Picked011
Done011
Total59564
Error
0.2b
Counts
64 → 5
Alt Table
StatusErrorProgram
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (exp.f64 (log.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
✓0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
▶1.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))))
✓0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
Compiler

Compiled 9189 to 7463 computations (18.8% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.0b
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))
✓1.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))

series8.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
6.0ms
z
@0
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))
1.0ms
z
@inf
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))
1.0ms
z
@-inf
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))

rewrite38.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
260×add-sqr-sqrt_binary64
249×*-un-lft-identity_binary64
249×pow1_binary64
243×add-log-exp_binary64
242×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02468
152668
Stop Event
1×node limit
Counts
2 → 23
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))
(expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) 15/2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))) (cbrt.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))))) (cbrt.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))) (sqrt.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 15/2) z)) (exp.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) z) (log.f64 15/2))) (exp.f64 15/2)))))))))))

simplify54.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
324×associate-*r/_binary64
324×associate-*l/_binary64
322×fma-def_binary64
261×associate-/r/_binary64
259×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391587
14751463
222351413
Stop Event
1×node limit
Counts
35 → 33
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))) (+.f64 1 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))))) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))))
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(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
Outputs
(-.f64 (exp.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) 1)
(expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))))
(expm1.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 15/2) (sqrt.f64 2))))
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(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (sqrt.f64 2)))) 1)
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))))))
(expm1.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (log.f64 15/2))) (*.f64 (/.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z) (exp.f64 15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))

prune126.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh112
Picked011
Done022
Total54559
Error
0.2b
Counts
59 → 5
Alt Table
StatusErrorProgram
✓0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) z)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 127/225 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z z)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
✓1.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))))
✓0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (+.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 15/2)) (sqrt.f64 15/2))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) z)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) z))) (log.f64 15/2))))) -1))))
Compiler

Compiled 4005 to 3302 computations (17.6% saved)

regimes318.0ms (0.5%)

Accuracy

Total 0.3b remaining (53.7%)

Threshold costs 0.3b (53.7%)

Counts
55 → 1
Compiler

Compiled 8896 to 7468 computations (16.1% saved)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Rules
19×+-commutative_binary64
11×sub-neg_binary64
6×*-commutative_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061119
187119
2100119
3102119
4103119
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))

end293.0ms (0.5%)

Stop Event
1×fuel
Compiler

Compiled 567 to 474 computations (16.4% saved)

Profiling

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