Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 1.5min)

analyze669.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.5%49.8%25.1%25.1%0%0%0%11
66.6%49.9%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.0min (65.8%)

Results
55.6s3884×body8192exit
4.5s8154×body256valid
63.0ms102×body256infinite
41.0ms86×body256unsamplable
Bogosity

preprocess63.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1314×associate-+r+
1086×distribute-rgt-in
1058×distribute-lft-in
956×associate-*r*
780×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0103670
1279590
21246466
37915466
Stop Event
1×node limit
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)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 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 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 8)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 1/2 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (-.f64 (-.f64 1 (neg.f64 z)) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 (neg.f64 z)) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 (neg.f64 z)) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -7)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z 1) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (+.f64 z 1) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 z -2))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z 1) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z 1) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z 1) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z 1) 7))))) (*.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z 1) 13/2) (+.f64 (+.f64 z 1) -1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 z 1) 13/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 8))))) (*.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (-.f64 -15/2 z))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify46.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
982×associate-/r*
686×associate-/l*
648×associate-+r+
624×associate-+l+
548×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
Stop Event
1×node limit
Counts
1 → 5
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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))

eval7.0ms (0%)

Compiler

Compiled 470 to 383 computations (18.5% saved)

prune15.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New145
Fresh101
Picked000
Done000
Total246
Accurracy
98.2%
Counts
6 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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))))))
▶96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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))))))
▶96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 700 to 586 computations (16.3% saved)

localize5.8s (6.3%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓97.3%
(*.f64 (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)))
✓95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓11.6%
(+.f64 (-.f64 1 z) -1)
✓98.5%
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
✓98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
✓97.3%
(*.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))))
✓98.5%
(+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
✓98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
✓98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓98.5%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
✓98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓97.3%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 2266 to 1823 computations (19.5% saved)

series13.0ms (0%)

Counts
16 → 144
Calls

36 calls:

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

rewrite188.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
538×cbrt-prod
476×unpow-prod-down
414×sqrt-prod
414×log-prod
398×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093540
12345516
Stop Event
1×node limit
Counts
16 → 350
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(sqrt.f64 (*.f64 (PI.f64) 2))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(*.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(*.f64 (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)))
(sqrt.f64 (*.f64 (PI.f64) 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) 3) (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (log.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (log.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
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(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 z 2))))
(*.f64 7713234287776531/10000000000000 (pow.f64 (/.f64 1 (-.f64 1 (-.f64 z 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 2) 1) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 1) (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 1))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 3)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 2)
(pow.f64 (/.f64 (-.f64 1 (-.f64 z 2)) 7713234287776531/10000000000000) -1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))))
(-.f64 1 (-.f64 z -1))
(-.f64 (-.f64 1 z) 1)
(-.f64 0 z)
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) 1) (pow.f64 (cbrt.f64 (neg.f64 z)) 1))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 z)) 1) (pow.f64 (sqrt.f64 (neg.f64 z)) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 1 (-.f64 1 z)))
(pow.f64 (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (neg.f64 z)) 3)
(pow.f64 (sqrt.f64 (neg.f64 z)) 2)
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2)) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2)) 1) (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1) (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 2)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (fma.f64 -1 z 15/2)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (fma.f64 -1 z 15/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))

simplify323.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1056×log-prod
778×fma-neg
742×associate-*l*
738×associate-*r*
736×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081418068
1200517386
2732217356
Stop Event
1×node limit
Counts
494 → 428
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
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(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
9999999999998099/10000000000000000
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(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
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(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
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7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
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(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
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(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
10409174657078461523082059/4200000000000000000000000
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(/.f64 -309219557958850910362579/25000000000000000000000 z)
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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469507597606837/10000000000000
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(/.f64 5826188486005177/10000000000000 z)
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(/.f64 5826188486005177/10000000000000 z)
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7713234287776531/30000000000000
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(/.f64 -7713234287776531/10000000000000 z)
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(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2)) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2)) 1) (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1) (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 2)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (fma.f64 -1 z 15/2)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (fma.f64 -1 z 15/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (sqrt.f64 15/2)) (exp.f64 -15/2)) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (sqrt.f64 15/2)) (exp.f64 -15/2)) z (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z) (*.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) 1/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (pow.f64 z 3)))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) 3)))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (fma.f64 -1 z 15/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(exp.f64 (*.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (fma.f64 -1 z 15/2)))) 1))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (fma.f64 -1 (-.f64 7 z) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
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(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))

eval927.0ms (1%)

Compiler

Compiled 50672 to 39925 computations (21.2% saved)

prune320.0ms (0.3%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New53029559
Fresh000
Picked224
Done000
Total53231563
Accurracy
100.0%
Counts
563 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
94.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (+.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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
✓96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.9%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
93.8%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
92.8%
(*.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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
4.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
▶97.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
▶95.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶97.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
94.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (+.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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
✓96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.9%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
93.8%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
92.8%
(*.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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
4.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
▶97.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
▶95.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶97.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 9046 to 7482 computations (17.3% saved)

localize4.1s (4.4%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (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)))
✓95.7%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
11.6%
(+.f64 (-.f64 1 z) -1)
✓98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓99.5%
(sin.f64 (*.f64 (PI.f64) z))
✓99.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓98.5%
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 2057 to 1588 computations (22.8% saved)

series11.0ms (0%)

Counts
6 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
3.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
2.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
0.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
0.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))

rewrite88.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1688×pow1
1684×add-exp-log
1684×add-log-exp
1680×log1p-expm1-u
1680×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073338
11769338
Stop Event
1×node limit
Counts
6 → 59
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(sin.f64 (*.f64 (PI.f64) z))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(*.f64 1 (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 1)
(log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) z))))
(cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (sin.f64 (*.f64 (PI.f64) z))) (sin.f64 (*.f64 (PI.f64) z))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) z))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) z))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)))))
(/.f64 (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))

simplify142.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
732×fma-def
722×associate-*l*
704×associate-*r*
490×*-commutative
430×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04768545
114028219
259047835
Stop Event
1×node limit
Counts
131 → 204
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 z z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1/2)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (pow.f64 z 3)))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 z z) (sqrt.f64 2)))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (fma.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000)))) (sqrt.f64 (PI.f64)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 2) (fma.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 2) (fma.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (*.f64 -4103006302980662903082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (sqrt.f64 2) (fma.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000)))) (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 z (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000)) (fma.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (*.f64 (sqrt.f64 15/2) (fma.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) -532306801055323999579403029/118540800000000000000000000000))))))) (*.f64 4103006302980662903082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (PI.f64) (sqrt.f64 15/2))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))
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(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
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(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z))))
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(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000))
(/.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1)
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
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eval2.0s (2.2%)

Compiler

Compiled 132120 to 101605 computations (23.1% saved)

prune380.0ms (0.4%)

Pruning

42 alts after pruning (40 fresh and 2 done)

PrunedKeptTotal
New1687211708
Fresh51924
Picked415
Done112
Total1697421739
Accurracy
100.0%
Counts
1739 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 (PI.f64) z))))
95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
▶97.7%
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96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.9%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
93.8%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
92.8%
(*.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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
4.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓95.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
21.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶94.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
6.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶94.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.8%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
▶13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
13.9%
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 (PI.f64) z))))
95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.9%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
93.8%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
92.8%
(*.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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
4.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓95.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
21.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶94.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
6.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶94.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.8%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
▶13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
Compiler

Compiled 11004 to 9122 computations (17.1% saved)

localize3.6s (3.9%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (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)))
✓96.5%
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
11.6%
(+.f64 (-.f64 1 z) -1)
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
✓98.7%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓99.5%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
✓99.4%
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
✓98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
✓98.4%
(sqrt.f64 (PI.f64))
✓98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓97.3%
(*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
95.7%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
Compiler

Compiled 2239 to 1797 computations (19.7% saved)

series8.0ms (0%)

Counts
9 → 72
Calls

18 calls:

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

rewrite93.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1198×pow1
1176×add-exp-log
1176×add-log-exp
1172×log1p-expm1-u
1170×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056291
11287291
Stop Event
1×node limit
Counts
9 → 75
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
(/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))
(sqrt.f64 (PI.f64))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
Outputs
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 1 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 1)
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (neg.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 1 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))) (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (sqrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) 3) (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 3)) (+.f64 (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z))) (+.f64 (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z))) (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(pow.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))

simplify109.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1340×distribute-rgt-in
1250×distribute-lft-in
980×times-frac
676×associate-*r*
652×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03376373
19005937
236785865
Stop Event
1×node limit
Counts
147 → 174
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
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(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (neg.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 1 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))) (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (sqrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) 3) (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 3)) (+.f64 (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z))) (+.f64 (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z))) (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(pow.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) 14/15)) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (*.f64 z (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) 14/15)) z (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (pow.f64 z 3) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (*.f64 1/6 (exp.f64 -15/2)) (sqrt.f64 15/2)))))))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z) (*.f64 (pow.f64 z 3) (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/6))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)))))))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) 14/15)) z (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z) (*.f64 (pow.f64 z 3) (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/6))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.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 z 15/2)))
(*.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 z 15/2)))
(*.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 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 (*.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 23139702863329593/10000000000000 (*.f64 z z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
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(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
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(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
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(*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
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(*.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
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(*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
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(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
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(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
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(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
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(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
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(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 1)
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(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
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(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
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(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
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(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
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(+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (neg.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(*.f64 1 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))) (cbrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (sqrt.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) 3) (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 3)) (+.f64 (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z))) (+.f64 (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) 3) (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 3)) (fma.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4) (*.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))
(/.f64 (-.f64 (/.f64 95870558873604414124386404333497569760409259533203714893326905776884779377807204156780193400601/1000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 3)) (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 3)) (fma.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (fma.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4))))
(/.f64 (-.f64 (/.f64 95870558873604414124386404333497569760409259533203714893326905776884779377807204156780193400601/1000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4) (*.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z))) (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (+.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(/.f64 (-.f64 (*.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z)))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(/.f64 (fma.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(/.f64 (-.f64 (*.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(pow.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) 1)
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))) (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))

eval1.3s (1.4%)

Compiler

Compiled 86591 to 68547 computations (20.8% saved)

prune353.0ms (0.4%)

Pruning

61 alts after pruning (57 fresh and 4 done)

PrunedKeptTotal
New1000271027
Fresh53035
Picked325
Done022
Total1008611069
Accurracy
100.0%
Counts
1069 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 (PI.f64) z))))
▶95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
97.7%
(*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
97.7%
(*.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 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
95.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (cbrt.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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.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))))))
97.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.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))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶96.9%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
93.8%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
92.8%
(*.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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶4.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓95.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
21.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓94.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))))
3.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
6.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 7713234287776531/30000000000000 (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (fma.f64 (*.f64 z z) 2943194126470171931171/5400000000000000000 (*.f64 z 39321001939258358983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
13.8%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
▶13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
✓13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
5.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
5.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
6.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
6.6%
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
13.9%
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 (PI.f64) z))))
▶95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
97.7%
(*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
97.7%
(*.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 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
95.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (cbrt.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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.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))))))
97.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.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))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶96.9%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
93.8%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
92.8%
(*.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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶4.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓95.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
21.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓94.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))))
3.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
6.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 7713234287776531/30000000000000 (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (fma.f64 (*.f64 z z) 2943194126470171931171/5400000000000000000 (*.f64 z 39321001939258358983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
13.8%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
▶13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
✓13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
5.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
5.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
6.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
6.6%
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
Compiler

Compiled 13810 to 11568 computations (16.2% saved)

localize3.6s (4%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
97.3%
(*.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))))
98.7%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (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)))
95.7%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
11.6%
(+.f64 (-.f64 1 z) -1)
✓99.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
✓99.3%
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
✓98.4%
(sqrt.f64 (*.f64 2 (PI.f64)))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
95.7%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000))
Compiler

Compiled 2236 to 1816 computations (18.8% saved)

series5.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
1.0ms
z
@-inf
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
1.0ms
z
@inf
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
0.0ms
z
@-inf
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
0.0ms
z
@inf
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))

rewrite74.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1624×add-exp-log
1624×add-log-exp
1620×log1p-expm1-u
1620×expm1-log1p-u
1614×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068346
11683346
Stop Event
1×node limit
Counts
4 → 37
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
Outputs
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 1)
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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))))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))

simplify105.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1732×times-frac
1512×associate-+r+
1444×associate-+l+
450×associate-*r*
416×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02635719
17245273
231434971
Stop Event
1×node limit
Counts
73 → 91
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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)))))))))
Outputs
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(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))
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(*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.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 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (+.f64 5 (neg.f64 z))))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.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 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.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 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (+.f64 5 (neg.f64 z))))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.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 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.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 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (+.f64 5 (neg.f64 z))))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.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 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.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 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (+.f64 5 (neg.f64 z))))))))))

eval1.4s (1.6%)

Compiler

Compiled 94504 to 75194 computations (20.4% saved)

prune351.0ms (0.4%)

Pruning

74 alts after pruning (68 fresh and 6 done)

PrunedKeptTotal
New1059311090
Fresh153752
Picked235
Done134
Total1077741151
Accurracy
100.0%
Counts
1151 → 74
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.8%
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
13.9%
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 (PI.f64) z))))
13.8%
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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))))))
3.6%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.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))))))
95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.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))))))
94.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (+.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))))))
95.2%
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
97.7%
(*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
97.7%
(*.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 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
79.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
95.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (/.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))))))
✓97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.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))))))
97.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (+.f64 5 (neg.f64 z))))))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.4%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.2%
(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
93.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.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 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
95.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
5.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
✓4.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓95.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
21.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓94.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))))
94.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
93.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
13.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
13.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
13.8%
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
6.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 7713234287776531/30000000000000 (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (fma.f64 (*.f64 z z) 2943194126470171931171/5400000000000000000 (*.f64 z 39321001939258358983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
13.8%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
✓13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
5.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
13.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
5.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
6.8%
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
5.5%
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
6.8%
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
6.6%
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
Compiler

Compiled 10687 to 8589 computations (19.6% saved)

regimes271.0ms (0.3%)

Counts
113 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
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(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
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Outputs
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Calls

2 calls:

86.0ms
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42.0ms
z
Results
AccuracySegmentsBranch
97.8%1z
99.3%2(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.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 6756 to 5290 computations (21.7% saved)

regimes237.0ms (0.3%)

Counts
102 → 1
Calls
Call 1
Inputs
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
Calls

2 calls:

78.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
38.0ms
z
Results
AccuracySegmentsBranch
99.3%2(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.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)))))
97.7%1z
Compiler

Compiled 5670 to 4430 computations (21.9% saved)

regimes131.0ms (0.1%)

Counts
89 → 1
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(*.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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))))))
Outputs
(*.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 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
Calls

1 calls:

34.0ms
z
Results
AccuracySegmentsBranch
97.7%1z
Compiler

Compiled 4508 to 3512 computations (22.1% saved)

regimes115.0ms (0.1%)

Counts
81 → 1
Calls
Call 1
Inputs
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
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(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.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 (-.f64 1 z) 4)) (+.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 (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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.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 479507597606835099/10000000000000000 (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (-.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 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 1 (-.f64 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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
Outputs
(*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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))))))
Calls

1 calls:

31.0ms
z
Results
AccuracySegmentsBranch
97.7%1z
Compiler

Compiled 3747 to 2896 computations (22.7% saved)

regimes101.0ms (0.1%)

Counts
76 → 1
Calls
Call 1
Inputs
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
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(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (+.f64 5 (neg.f64 z))))))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.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))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.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 (-.f64 1 z) 4)) (+.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 (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 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.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 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

28.0ms
z
Results
AccuracySegmentsBranch
97.6%1z
Compiler

Compiled 3316 to 2551 computations (23.1% saved)

regimes87.0ms (0.1%)

Counts
69 → 1
Calls
Call 1
Inputs
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
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(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
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(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 7713234287776531/30000000000000 (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (+.f64 5 (neg.f64 z))))))))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

26.0ms
z
Results
AccuracySegmentsBranch
97.4%1z
Compiler

Compiled 2773 to 2140 computations (22.8% saved)

regimes79.0ms (0.1%)

Counts
65 → 1
Calls
Call 1
Inputs
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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Outputs
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

25.0ms
z
Results
AccuracySegmentsBranch
95.6%1z
Compiler

Compiled 2476 to 1916 computations (22.6% saved)

regimes71.0ms (0.1%)

Counts
60 → 1
Calls
Call 1
Inputs
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
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(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

23.0ms
z
Results
AccuracySegmentsBranch
95.4%1z
Compiler

Compiled 2162 to 1678 computations (22.4% saved)

regimes65.0ms (0.1%)

Counts
55 → 1
Calls
Call 1
Inputs
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(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
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(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
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(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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))))))
Calls

1 calls:

21.0ms
z
Results
AccuracySegmentsBranch
95.2%1z
Compiler

Compiled 1894 to 1486 computations (21.5% saved)

regimes43.0ms (0%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
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(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.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))))))
Calls

1 calls:

16.0ms
z
Results
AccuracySegmentsBranch
95.2%1z
Compiler

Compiled 1213 to 992 computations (18.2% saved)

regimes37.0ms (0%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.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))))))
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
95.2%1z
Compiler

Compiled 968 to 792 computations (18.2% saved)

regimes35.0ms (0%)

Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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))))))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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))))))
Calls

1 calls:

13.0ms
z
Results
AccuracySegmentsBranch
95.2%1z
Compiler

Compiled 875 to 717 computations (18.1% saved)

regimes30.0ms (0%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 479507597606835099/10000000000000000 (+.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) (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.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))))))
Outputs
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

13.0ms
z
Results
AccuracySegmentsBranch
94.9%1z
Compiler

Compiled 787 to 645 computations (18% saved)

regimes23.0ms (0%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (*.f64 (PI.f64) z))))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
13.8%1z
Compiler

Compiled 485 to 405 computations (16.5% saved)

regimes21.0ms (0%)

Accuracy

Total -7.2b remaining (-13%)

Threshold costs -7.2b (-13%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
Outputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
Calls

1 calls:

11.0ms
z
Results
AccuracySegmentsBranch
13.8%1z
Compiler

Compiled 440 to 371 computations (15.7% saved)

simplify396.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1450×unsub-neg
1290×distribute-lft-neg-in
896×neg-mul-1
710×neg-sub0
662×distribute-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02153515
13703483
24413483
35363483
46283483
56963483
68383483
710043483
811003483
912713483
1015683483
1120003483
1224893483
1330313483
1434793483
1538623483
1642153483
1743673483
1844373483
1946243483
2047793483
2148083483
2248233483
2348363483
2448473483
2548493483
2648493483
2748573483
2848593483
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.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))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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Outputs
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Compiler

Compiled 1144 to 955 computations (16.5% saved)

soundness3.0s (3.3%)

Rules
1732×times-frac
1688×pow1
1688×pow1
1684×add-exp-log
1684×add-log-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
093540
12345516
064311
1163293
2641237
34401229
04768545
114028219
259047835
056291
11287291
03376373
19005937
236785865
068346
11683346
02635719
17245273
231434971
04768545
114028219
259047835
064311
1163293
2641237
34401229
093540
12345516
081418068
1200517386
2732217356
04768545
114028219
259047835
081418068
1200517386
2732217356
073338
11769338
04768545
114028219
259047835
073338
11769338
04768545
114028219
259047835
093540
12345516
081418068
1200517386
2732217356
093540
12345516
056291
11287291
03376373
19005937
236785865
056291
11287291
03376373
19005937
236785865
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 8696 to 7091 computations (18.5% saved)

end1.0ms (0%)

preprocess466.0ms (0.5%)

Compiler

Compiled 2508 to 2010 computations (19.9% saved)

Profiling

Loading profile data...