Details

Time bar (total: 2.5min)

analyze894.0ms (0.6%)

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

Compiled 127 to 112 computations (11.8% saved)

sample53.8s (35.9%)

Results
49.2s3870×body8192exit
4.5s8256×body256valid
68.0ms112×body256unsamplable
47.0ms87×body256infinite
Bogosity

preprocess3.0s (2%)

Algorithm
2×egglog
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify1.6s (1%)

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

eval7.0ms (0%)

Compiler

Compiled 220 to 188 computations (14.5% saved)

prune9.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
1.7b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
Compiler

Compiled 221 to 193 computations (12.7% saved)

localize345.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z))))
✓1.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
✓1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
✓2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1))))
Compiler

Compiled 688 to 578 computations (16% saved)

series63.0ms (0%)

Counts
4 → 20
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
2.0ms
z
@inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
2.0ms
z
@-inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1))))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1))))
Compiler

Compiled 6280 to 5515 computations (12.2% saved)

rewrite1.6s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
45×egg-rr
43×egg-rr
36×egg-rr
15×egg-rr
Counts
4 → 139
Calls
Call 1
Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 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simplify4.1s (2.7%)

Algorithm
1×egglog
Counts
159 → 212
Calls
Call 1
Inputs
479507597606835099/10000000000000000
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
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9999999999998099/10000000000000000
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7827144361880981797/30000000000000000
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9999999999998099/10000000000000000
9999999999998099/10000000000000000
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Outputs
479507597606835099/10000000000000000
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (pow.f64 z 2) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
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9999999999998099/10000000000000000
9999999999998099/10000000000000000
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localize301.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.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))))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓5.5b
(-.f64 (-.f64 1 z) 1)
Compiler

Compiled 894 to 784 computations (12.3% saved)

series53.0ms (0%)

Counts
4 → 27
Calls

9 calls:

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

Compiled 6205 to 5395 computations (13.1% saved)

rewrite1.6s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
47×egg-rr
44×egg-rr
35×egg-rr
13×egg-rr
Counts
4 → 139
Calls
Call 1
Inputs
(-.f64 (-.f64 1 z) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.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
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simplify3.7s (2.5%)

Algorithm
1×egglog
Counts
166 → 202
Calls
Call 1
Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
9999999999998099/10000000000000000
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Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
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(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))))) 1) (*.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))) 1))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 (-.f64 1 1/2) z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 -6) z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 -7) z))) (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 -2) z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 -3) z)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 -4) z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 -5) z))))))
(+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 (-.f64 1 1/2) z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 -6) z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 -7) z))) (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 -2) z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 -3) z)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 -4) z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 -5) z))))))
(+.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 (-.f64 1 1/2) z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 -6) z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 -7) z))) (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 -2) z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 -3) z)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 -4) z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 -5) z))))))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 (-.f64 1 1/2) z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 -6) z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 -7) z))) (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 -2) z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 -3) z)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 -4) z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 -5) z))))))

eval2.4s (1.6%)

Compiler

Compiled 136126 to 114661 computations (15.8% saved)

prune422.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1004101014
Fresh000
Picked101
Done101
Total1006101016
Error
0.3b
Counts
1016 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
▶0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
▶2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
55.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))))
▶55.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))))
Compiler

Compiled 1510 to 1270 computations (15.9% saved)

localize321.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓1.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
✓1.1b
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 633 to 521 computations (17.7% saved)

series65.0ms (0%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@-inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@inf
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
0.0ms
z
@inf
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 7460 to 6540 computations (12.3% saved)

rewrite1.5s (1%)

Algorithm
1×batch-egg-rewrite
Rules
36×egg-rr
36×egg-rr
35×egg-rr
Counts
3 → 107
Calls
Call 1
Inputs
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
Outputs
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simplify3.8s (2.5%)

Algorithm
1×egglog
Counts
139 → 192
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2)) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (pow.f64 (/.f64 1 z) 3))))
(+.f64 (*.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2)) (+.f64 (*.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 1 z) 4)) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (pow.f64 (/.f64 1 z) 3)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2)) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 -43600364987677261/10000000000000 (pow.f64 (/.f64 -1 z) 3)) (+.f64 (*.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2)) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 -1 z) 4)) (+.f64 (*.f64 -43600364987677261/10000000000000 (pow.f64 (/.f64 -1 z) 3)) (+.f64 (*.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2)) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
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(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))))
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(if (!=.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(if (!=.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(if (!=.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(if (!=.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(if (!=.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 0) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(if (!=.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
Outputs
469507597606837/10000000000000
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(fma.f64 3683516130645841/2000000000000 (/.f64 (/.f64 1 z) z) (/.f64 5826188486005177/10000000000000 z))
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(/.f64 5826188486005177/10000000000000 z)
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(fma.f64 3683516130645841/2000000000000 (/.f64 (/.f64 1 z) z) (/.f64 5826188486005177/10000000000000 z))
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(if (!=.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(if (!=.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(if (!=.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 0) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
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(if (!=.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
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(if (!=.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (/.f64 (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (-.f64 4 z)) (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 121 to 81 computations (33.1% saved)

series34.0ms (0%)

Counts
3 → 23
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))
1.0ms
z
@0
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms
z
@inf
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))
1.0ms
z
@-inf
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))
0.0ms
z
@-inf
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
Compiler

Compiled 3865 to 3000 computations (22.4% saved)

rewrite1.6s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
51×egg-rr
48×egg-rr
16×egg-rr
Counts
3 → 115
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (PI.f64) z)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)) (cbrt.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 z 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) z)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) z))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))))))

simplify2.9s (1.9%)

Algorithm
1×egglog
Counts
138 → 138
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 1 z)
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 2)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 2/3) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) (pow.f64 (exp.f64 (+.f64 z -15/2)) 2/3))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) 2)))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z)) (exp.f64 -15/2))
(*.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (exp.f64 -15/2))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) 2) 3))
(*.f64 1 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 1)
(/.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (exp.f64 15/2))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z)) (exp.f64 15/2))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 2/3) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (-.f64 15/2 z)))
(/.f64 (*.f64 (neg.f64 (exp.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (neg.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z)) 1) (exp.f64 15/2))
(/.f64 (*.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) 1) (exp.f64 15/2))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (neg.f64 (exp.f64 z))) (neg.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 z))) (exp.f64 15/2))
(/.f64 (*.f64 1 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z))) (exp.f64 15/2))
(/.f64 (*.f64 1 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (exp.f64 15/2))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z)) 1) (*.f64 (exp.f64 15/2) 1))
(/.f64 (*.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) 1) (*.f64 (exp.f64 15/2) 1))
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z)) (sqrt.f64 (exp.f64 15/2))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z)) (cbrt.f64 (exp.f64 15/2))) (pow.f64 (cbrt.f64 (exp.f64 15/2)) 2))
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z)) 1) (exp.f64 15/2))
(/.f64 (/.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (sqrt.f64 (exp.f64 15/2))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (/.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (exp.f64 15/2))) (pow.f64 (cbrt.f64 (exp.f64 15/2)) 2))
(/.f64 (/.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) 1) (exp.f64 15/2))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 z))) (neg.f64 (exp.f64 15/2)))
(/.f64 (neg.f64 (*.f64 (exp.f64 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (neg.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3))
(if (!=.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))))
(if (!=.f64 (exp.f64 z) 0) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 -1 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2) 3))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 -1 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(-.f64 (/.f64 0 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(-.f64 0 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))) (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) 2))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 2))
(/.f64 (neg.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))) 1))
(if (!=.f64 (PI.f64) 0) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (PI.f64) 0) (/.f64 -1 (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (PI.f64)) 0) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 1 0) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)) (cbrt.f64 (*.f64 (PI.f64) z)))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 z 2)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)))
(*.f64 (*.f64 z (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) z))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) z)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) z))) 2) 3))
(*.f64 1 (*.f64 (PI.f64) z))
(*.f64 (*.f64 (PI.f64) z) 1)
(/.f64 (*.f64 (PI.f64) z) 1)
(pow.f64 (*.f64 (PI.f64) z) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
Outputs
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))) (+.f64 (-.f64 (neg.f64 (log.f64 15/2)) (-.f64 1/15 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 2) 1/2 29/225))) 1/2)) (fma.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 1) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2)))) z (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2)))))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))) (+.f64 (-.f64 (neg.f64 (log.f64 15/2)) (-.f64 1/15 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 2) 1/2 29/225))) 1/2)) (fma.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))) 1/6 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (sqrt.f64 15/2) (fma.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 3) 86/10125))) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2)))) (*.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 2) 1/2 29/225) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))))))) (pow.f64 z 3) (fma.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 1) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2)))) z (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 (-.f64 z 15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 (-.f64 z 15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 (-.f64 z 15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 (-.f64 z 15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
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(pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z))))
(if (!=.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))))
(if (!=.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (exp.f64 z) (/.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z)))))
(if (!=.f64 (exp.f64 z) 0) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 z -15/2))))
(if (!=.f64 (exp.f64 z) 0) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 15/2 z)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 -1 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 -1 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(-.f64 (/.f64 0 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(-.f64 0 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))) (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (neg.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(if (!=.f64 (PI.f64) 0) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (PI.f64) 0) (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (PI.f64) 0) (/.f64 -1 (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (PI.f64) 0) (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 (cbrt.f64 (PI.f64)) 0) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(if (!=.f64 1 0) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)))
(*.f64 (PI.f64) z)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2)) (cbrt.f64 (*.f64 (PI.f64) z)))
(*.f64 (PI.f64) z)
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 z 2)) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z))) (PI.f64))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)))
(*.f64 (*.f64 z (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) z)
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
(*.f64 (PI.f64) z)
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) z))
(*.f64 (PI.f64) z)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) z)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) z))) 2) 3))
(*.f64 (PI.f64) z)
(*.f64 1 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
(*.f64 (*.f64 (PI.f64) z) 1)
(*.f64 (PI.f64) z)
(/.f64 (*.f64 (PI.f64) z) 1)
(*.f64 (PI.f64) z)
(pow.f64 (*.f64 (PI.f64) z) 1)
(*.f64 (PI.f64) z)
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(*.f64 (PI.f64) z)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(*.f64 (PI.f64) z)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(*.f64 (PI.f64) z)

localize160.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓1.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
Compiler

Compiled 380 to 312 computations (17.9% saved)

series67.0ms (0%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
2.0ms
z
@inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
2.0ms
z
@-inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))
0.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))
Compiler

Compiled 7705 to 6830 computations (11.4% saved)

rewrite1.6s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
49×egg-rr
28×egg-rr
Counts
2 → 77
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
Outputs
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simplify3.2s (2.2%)

Algorithm
1×egglog
Counts
97 → 121
Calls
Call 1
Inputs
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(+.f64 (+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))) (*.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
(+.f64 (+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))))))
(+.f64 (+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))) (*.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
(+.f64 (+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
Outputs
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(fma.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) (+.f64 1/2 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 2)))))) (fma.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 1) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)))) z (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z))))
(+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z))))
(+.f64 (+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))) (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z))))
(+.f64 (+.f64 (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z))))

localize212.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 583 to 470 computations (19.4% saved)

series23.0ms (0%)

Counts
3 → 21
Calls

9 calls:

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

Compiled 2100 to 1790 computations (14.8% saved)

rewrite1.6s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
105×egg-rr
66×egg-rr
39×egg-rr
Counts
3 → 210
Calls
Call 1
Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z))))
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
Outputs
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simplify4.1s (2.7%)

Algorithm
1×egglog
Counts
231 → 320
Calls
Call 1
Inputs
479507597606835099/10000000000000000
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
9999999999998099/10000000000000000
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 62898174544540606049/103680000000000000 (pow.f64 z 3)) (+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
9999999999998099/10000000000000000
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)
(-.f64 (*.f64 -23139702863329593/10000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 -69419108589988779/10000000000000 (pow.f64 (/.f64 1 z) 3)) (*.f64 -23139702863329593/10000000000000 (pow.f64 (/.f64 1 z) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 9999999999998099/10000000000000000))))
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Outputs
479507597606835099/10000000000000000
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9999999999998099/10000000000000000
9999999999998099/10000000000000000
7827144361880981797/30000000000000000
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
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(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
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(*.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 1)
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(*.f64 (/.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) -1) -1)
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(*.f64 -1 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))
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(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(pow.f64 (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) 3)
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (pow.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 3) 1/3)
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(pow.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 1)
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(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
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(if (!=.f64 7713234287776531/10000000000000 0) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))
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(if (!=.f64 (+.f64 9 (*.f64 z (+.f64 3 z))) 0) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (*.f64 z (+.f64 3 z)))) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))
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(if (!=.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 0) (pow.f64 (/.f64 1 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) -1) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))

localize241.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z))))
✓1.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
1.1b
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 669 to 558 computations (16.6% saved)

series47.0ms (0%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@-inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@inf
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z))))
0.0ms
z
@-inf
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z))))
Compiler

Compiled 5650 to 4975 computations (11.9% saved)

rewrite1.7s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
43×egg-rr
35×egg-rr
Counts
2 → 78
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 (+.f64 0 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 (+.f64 0 z))))
Outputs
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simplify3.0s (2%)

Algorithm
1×egglog
Counts
93 → 128
Calls
Call 1
Inputs
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Outputs
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eval2.0s (1.3%)

Compiler

Compiled 109396 to 86099 computations (21.3% saved)

prune389.0ms (0.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1066261092
Fresh415
Picked101
Done404
Total1075271102
Error
0.1b
Counts
1102 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
2.0b
(*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
2.3b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
2.4b
(*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
▶36.3b
(*.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
36.3b
(*.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
37.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
36.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
36.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))) (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
36.4b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))))
▶1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (+.f64 z -15/2))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z)))))
▶1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (if (!=.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 0) (*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))) (+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)))) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
3.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))) 7713234287776531/30000000000000) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (-.f64 z 15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (exp.f64 (-.f64 15/2 z))))))
2.0b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
▶55.0b
(*.f64 (/.f64 1 z) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))))
▶2.0b
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
38.0b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
3.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2) 3)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
45.1b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
Compiler

Compiled 3990 to 3280 computations (17.8% saved)

localize203.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 570 to 454 computations (20.4% saved)

series14.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

Compiled 1470 to 1250 computations (15% saved)

rewrite1.7s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
111×egg-rr
36×egg-rr
Counts
2 → 147
Calls
Call 1
Inputs
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
Outputs
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simplify3.3s (2.2%)

Algorithm
1×egglog
Counts
163 → 232
Calls
Call 1
Inputs
469507597606837/10000000000000
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7827144361880981797/30000000000000000
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9999999999998099/10000000000000000
9999999999998099/10000000000000000
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(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 10000000000000000/9999999999998099) 9999999999998099/10000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 10000000000000000/9999999999998099)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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Outputs
469507597606837/10000000000000
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(fma.f64 2076511864126339/4000000000000 (pow.f64 z 2) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))))
(/.f64 5826188486005177/10000000000000 z)
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(fma.f64 3683516130645841/2000000000000 (/.f64 (pow.f64 z -1) z) (/.f64 5826188486005177/10000000000000 z))
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7827144361880981797/30000000000000000
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9999999999998099/10000000000000000
9999999999998099/10000000000000000
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localize75.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (-.f64 z 15/2))
✓0.3b
(*.f64 (/.f64 1 z) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))))
1.0b
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
Compiler

Compiled 109 to 83 computations (23.9% saved)

series57.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
27.0ms
z
@inf
(*.f64 (/.f64 1 z) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))))
1.0ms
z
@0
(*.f64 (/.f64 1 z) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))))
1.0ms
z
@-inf
(*.f64 (/.f64 1 z) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))))
0.0ms
z
@0
(exp.f64 (-.f64 z 15/2))
0.0ms
z
@-inf
(exp.f64 (-.f64 z 15/2))
Compiler

Compiled 3335 to 2955 computations (11.4% saved)

rewrite1.5s (1%)

Algorithm
1×batch-egg-rewrite
Rules
101×egg-rr
57×egg-rr
Counts
2 → 158
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (-.f64 z 15/2)))))
(exp.f64 (-.f64 z 15/2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (+.f64 -15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3) (cbrt.f64 (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 z)) (/.f64 1 (neg.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) -1) (*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 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egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -15/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 z) (neg.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 (+.f64 -15/2 z)) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (E.f64) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 z) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 -15/2 z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 -15/2 z) 3) 1/3))))))

simplify3.7s (2.5%)

Algorithm
1×egglog
Counts
174 → 195
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z))
(+.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))) z)) (*.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) z)))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) z))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(*.f64 (cbrt.f64 (pow.f64 z -1)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 z -1) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (*.f64 (/.f64 9999999999998099/10000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (*.f64 (/.f64 9999999999998099/10000000000000000 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (/.f64 9999999999998099/10000000000000000 z) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) 2)))
(*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))
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(*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) 2)))
(*.f64 (/.f64 9999999999998099/10000000000000000 z) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (/.f64 9999999999998099/10000000000000000 z))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 (cbrt.f64 z) (exp.f64 (+.f64 -15/2 z)))) (/.f64 9999999999998099/10000000000000000 (cbrt.f64 (pow.f64 z 2))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 (cbrt.f64 z) 9999999999998099/10000000000000000)) (/.f64 (exp.f64 (+.f64 -15/2 z)) (cbrt.f64 (pow.f64 z 2))))
(*.f64 (cbrt.f64 (pow.f64 z -1)) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (/.f64 (cbrt.f64 (pow.f64 z 2)) 9999999999998099/10000000000000000)))
(*.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (/.f64 (exp.f64 (+.f64 -15/2 z)) z))
(*.f64 (cbrt.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))) 2)) z))
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(neg.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))) (/.f64 -1 z)))
(neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) -1))
(neg.f64 (*.f64 (/.f64 -1 z) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))))
(neg.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))))
(if (!=.f64 (exp.f64 (+.f64 -15/2 z)) 0) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(if (!=.f64 9999999999998099/10000000000000000 0) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(if (!=.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))) 0) (/.f64 9999999999998099/10000000000000000 (/.f64 z (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))) 2)) 0) (/.f64 (cbrt.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))) (/.f64 z (cbrt.f64 (pow.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))) 2)))) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(if (!=.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) 0) (/.f64 9999999999998099/10000000000000000 (/.f64 z (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(if (!=.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) 0) (/.f64 1 (pow.f64 (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))) -1)) (*.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))))
(fabs.f64 (exp.f64 (+.f64 -15/2 z)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (exp.f64 (+.f64 -15/2 z))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3))
(*.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3) (cbrt.f64 (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 z) (exp.f64 -15/2))
(*.f64 (neg.f64 (exp.f64 z)) (/.f64 1 (neg.f64 (exp.f64 15/2))))
(*.f64 (exp.f64 -15/2) (exp.f64 z))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) -1) (*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) -1))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))))) (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))))
(*.f64 1 (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(/.f64 (exp.f64 z) (exp.f64 15/2))
(/.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3)) (cbrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (neg.f64 (exp.f64 z)) 1) (neg.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (exp.f64 z) 1) (exp.f64 15/2))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3) (cbrt.f64 (exp.f64 z))) (cbrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (exp.f64 z) 1) (*.f64 (exp.f64 15/2) 1))
(/.f64 (*.f64 (neg.f64 (exp.f64 z)) 1) (*.f64 (neg.f64 (exp.f64 15/2)) 1))
(/.f64 (/.f64 (exp.f64 z) (cbrt.f64 (exp.f64 15/2))) (pow.f64 (cbrt.f64 (exp.f64 15/2)) 2))
(/.f64 (/.f64 (exp.f64 z) (sqrt.f64 (exp.f64 15/2))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (exp.f64 (/.f64 (pow.f64 z 3) (fma.f64 z (+.f64 15/2 z) 225/4))) (exp.f64 (/.f64 3375/8 (fma.f64 z (+.f64 15/2 z) 225/4))))
(/.f64 -1 (/.f64 (exp.f64 (-.f64 15/2 z)) -1))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z))))
(/.f64 1 (exp.f64 (-.f64 15/2 z)))
(/.f64 1 (pow.f64 (exp.f64 (+.f64 -15/2 z)) -1))
(/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 1))
(/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1))
(/.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))
(pow.f64 (E.f64) (+.f64 -15/2 z))
(pow.f64 (exp.f64 -1) (-.f64 15/2 z))
(pow.f64 (exp.f64 (+.f64 -3375/8 (pow.f64 z 3))) (pow.f64 (fma.f64 z (+.f64 15/2 z) 225/4) -1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2))) (cbrt.f64 (+.f64 -15/2 z)))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 -15/2 z))) (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 15/2 z))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2))))
(pow.f64 (exp.f64 (neg.f64 (cbrt.f64 (-.f64 15/2 z)))) (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2) 1/2)
(pow.f64 (exp.f64 (-.f64 15/2 z)) -1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3) 1/3)
(pow.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3))
(neg.f64 (/.f64 -1 (exp.f64 (-.f64 15/2 z))))
(neg.f64 (/.f64 (exp.f64 z) (neg.f64 (exp.f64 15/2))))
(neg.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) -1))
(neg.f64 (*.f64 -1 (exp.f64 (+.f64 -15/2 z))))
(if (!=.f64 (exp.f64 (+.f64 -15/2 z)) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))
(if (!=.f64 (E.f64) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))
(if (!=.f64 (exp.f64 z) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (+.f64 (+.f64 -15/2 z) 0))
(exp.f64 (*.f64 (*.f64 (+.f64 -15/2 z) 3) 1/3))
Outputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 z (sqrt.f64 15/2))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))) z)) (*.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))))
(fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 z (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (+.f64 (fma.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))) (+.f64 1/2 (-.f64 (neg.f64 (log.f64 15/2)) (-.f64 1/15 (fma.f64 (pow.f64 (neg.f64 (+.f64 1/15 (log.f64 15/2))) 2) 1/2 29/225))))) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))) (+.f64 (neg.f64 (+.f64 1/15 (log.f64 15/2))) 1))) (*.f64 (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (neg.f64 (+.f64 1/15 (log.f64 15/2))) (fma.f64 1/6 (neg.f64 (pow.f64 (+.f64 1/15 (log.f64 15/2)) 3)) 86/10125)))) (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))) (fma.f64 (pow.f64 (neg.f64 (+.f64 1/15 (log.f64 15/2))) 2) 1/2 29/225) (*.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 (neg.f64 (+.f64 1/15 (log.f64 15/2))) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 15/2))))))) (pow.f64 z 2)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 (exp.f64 (-.f64 z 15/2)) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 (exp.f64 (-.f64 z 15/2)) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 (exp.f64 (-.f64 z 15/2)) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) z))
(*.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 (exp.f64 (-.f64 z 15/2)) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))) z))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/2 (pow.f64 z 2)) z)))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) z))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 z 3) (exp.f64 -15/2)) (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1/2 (pow.f64 z 2)) z)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
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(*.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))))
(exp.f64 (-.f64 z 15/2))
(*.f64 1 (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (-.f64 z 15/2))
(*.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(exp.f64 (-.f64 z 15/2))
(/.f64 (exp.f64 z) (exp.f64 15/2))
(exp.f64 (-.f64 z 15/2))
(/.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 15/2)))
(exp.f64 (-.f64 z 15/2))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 z (-.f64 z 15/2)))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3)) (cbrt.f64 (exp.f64 15/2)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 z 15/2))) (pow.f64 (exp.f64 (-.f64 z 15/2)) 2/3))
(/.f64 (*.f64 (neg.f64 (exp.f64 z)) 1) (neg.f64 (exp.f64 15/2)))
(exp.f64 (-.f64 z 15/2))
(/.f64 (*.f64 (exp.f64 z) 1) (exp.f64 15/2))
(exp.f64 (-.f64 z 15/2))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 z (-.f64 z 15/2)))) (sqrt.f64 (exp.f64 15/2)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2/3) (cbrt.f64 (exp.f64 z))) (cbrt.f64 (exp.f64 15/2)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 z 15/2))) (pow.f64 (exp.f64 (-.f64 z 15/2)) 2/3))
(/.f64 (*.f64 (exp.f64 z) 1) (*.f64 (exp.f64 15/2) 1))
(exp.f64 (-.f64 z 15/2))
(/.f64 (*.f64 (neg.f64 (exp.f64 z)) 1) (*.f64 (neg.f64 (exp.f64 15/2)) 1))
(exp.f64 (-.f64 z 15/2))
(/.f64 (/.f64 (exp.f64 z) (cbrt.f64 (exp.f64 15/2))) (pow.f64 (cbrt.f64 (exp.f64 15/2)) 2))
(exp.f64 (-.f64 z 15/2))
(/.f64 (/.f64 (exp.f64 z) (sqrt.f64 (exp.f64 15/2))) (sqrt.f64 (exp.f64 15/2)))
(exp.f64 (-.f64 z 15/2))
(/.f64 (exp.f64 (/.f64 (pow.f64 z 3) (fma.f64 z (+.f64 15/2 z) 225/4))) (exp.f64 (/.f64 3375/8 (fma.f64 z (+.f64 15/2 z) 225/4))))
(exp.f64 (-.f64 z 15/2))
(/.f64 -1 (/.f64 (exp.f64 (-.f64 15/2 z)) -1))
(exp.f64 (-.f64 z 15/2))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 z 15/2))
(/.f64 1 (exp.f64 (-.f64 15/2 z)))
(exp.f64 (-.f64 z 15/2))
(/.f64 1 (pow.f64 (exp.f64 (+.f64 -15/2 z)) -1))
(exp.f64 (-.f64 z 15/2))
(/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 1))
(exp.f64 (-.f64 z 15/2))
(/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1))
(exp.f64 (-.f64 z 15/2))
(/.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(exp.f64 (-.f64 z 15/2))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))
(exp.f64 (-.f64 z 15/2))
(pow.f64 (E.f64) (+.f64 -15/2 z))
(exp.f64 (-.f64 z 15/2))
(pow.f64 (exp.f64 -1) (-.f64 15/2 z))
(exp.f64 (-.f64 z 15/2))
(pow.f64 (exp.f64 (+.f64 -3375/8 (pow.f64 z 3))) (pow.f64 (fma.f64 z (+.f64 15/2 z) 225/4) -1))
(exp.f64 (-.f64 z 15/2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2))) (cbrt.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2)) (cbrt.f64 (-.f64 z 15/2))))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 -15/2 z))) (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2)))
(exp.f64 (*.f64 (cbrt.f64 (-.f64 z 15/2)) (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2))))
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 15/2 z))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2))))
(exp.f64 (*.f64 (cbrt.f64 (-.f64 z 15/2)) (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2))))
(pow.f64 (exp.f64 (neg.f64 (cbrt.f64 (-.f64 15/2 z)))) (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2)))
(exp.f64 (*.f64 (cbrt.f64 (-.f64 z 15/2)) (cbrt.f64 (pow.f64 (-.f64 15/2 z) 2))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2) 1/2)
(exp.f64 (-.f64 z 15/2))
(pow.f64 (exp.f64 (-.f64 15/2 z)) -1)
(exp.f64 (-.f64 z 15/2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) 2)
(exp.f64 (-.f64 z 15/2))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 3)
(exp.f64 (-.f64 z 15/2))
(pow.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3) 1/3)
(exp.f64 (-.f64 z 15/2))
(pow.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(exp.f64 (-.f64 z 15/2))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3))
(exp.f64 (-.f64 z 15/2))
(neg.f64 (/.f64 -1 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 z 15/2))
(neg.f64 (/.f64 (exp.f64 z) (neg.f64 (exp.f64 15/2))))
(exp.f64 (-.f64 z 15/2))
(neg.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) -1))
(exp.f64 (-.f64 z 15/2))
(neg.f64 (*.f64 -1 (exp.f64 (+.f64 -15/2 z))))
(exp.f64 (-.f64 z 15/2))
(if (!=.f64 (exp.f64 (+.f64 -15/2 z)) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))
(if (!=.f64 (exp.f64 (-.f64 z 15/2)) 0) (exp.f64 (-.f64 z 15/2)) (exp.f64 (-.f64 z 15/2)))
(if (!=.f64 (E.f64) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))
(if (!=.f64 (E.f64) 0) (exp.f64 (-.f64 z 15/2)) (exp.f64 (-.f64 z 15/2)))
(if (!=.f64 (exp.f64 z) 0) (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))
(if (!=.f64 (exp.f64 z) 0) (exp.f64 (-.f64 z 15/2)) (exp.f64 (-.f64 z 15/2)))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 (+.f64 -15/2 z) 0))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (*.f64 (*.f64 (+.f64 -15/2 z) 3) 1/3))
(exp.f64 (-.f64 z 15/2))

localize176.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
1.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
Compiler

Compiled 391 to 320 computations (18.2% saved)

series56.0ms (0%)

Counts
1 → 2
Calls

3 calls:

TimeVariablePointExpression
5.0ms
z
@0
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
2.0ms
z
@-inf
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
2.0ms
z
@inf
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
Compiler

Compiled 6530 to 5185 computations (20.6% saved)

rewrite1.6s (1%)

Algorithm
1×batch-egg-rewrite
Rules
38×egg-rr
Counts
1 → 38
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
Outputs
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simplify2.1s (1.4%)

Algorithm
1×egglog
Counts
40 → 51
Calls
Call 1
Inputs
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(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)))))) 3)
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(if (!=.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))) 0) (/.f64 1 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))) -1)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))))
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(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7)))))
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(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7)))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))
Outputs
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(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7)))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))

localize378.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 1029 to 846 computations (17.8% saved)

series25.0ms (0%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
1.0ms
z
@0
(+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
0.0ms
z
@inf
(+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
0.0ms
z
@-inf
(+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
0.0ms
z
@0
(*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
Compiler

Compiled 1820 to 1540 computations (15.4% saved)

rewrite1.6s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
66×egg-rr
64×egg-rr
29×egg-rr
Counts
3 → 159
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
Outputs
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simplify3.8s (2.6%)

Algorithm
1×egglog
Counts
174 → 241
Calls
Call 1
Inputs
-7827144361880981797/18887088250836042000
(-.f64 (+.f64 (*.f64 -55070517921267226859/113322529505016252000 z) (*.f64 -2822999270619008117/5439481416240780096 (pow.f64 z 2))) 7827144361880981797/18887088250836042000)
(-.f64 (+.f64 (*.f64 -34648697975831492543/65273776994889361152 (pow.f64 z 3)) (+.f64 (*.f64 -55070517921267226859/113322529505016252000 z) (*.f64 -2822999270619008117/5439481416240780096 (pow.f64 z 2)))) 7827144361880981797/18887088250836042000)
(*.f64 9999999999998099/12591392167224028000 z)
(*.f64 9999999999998099/12591392167224028000 z)
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 62898174544540606049/103680000000000000 (pow.f64 z 3)) (+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
9999999999998099/10000000000000000
28038845331433078297/30000000000000000
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9999999999998099/10000000000000000
9999999999998099/10000000000000000
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Outputs
-7827144361880981797/18887088250836042000
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(-.f64 (fma.f64 -55070517921267226859/113322529505016252000 z (*.f64 (pow.f64 z 2) -2822999270619008117/5439481416240780096)) 7827144361880981797/18887088250836042000)
(-.f64 (+.f64 (*.f64 -34648697975831492543/65273776994889361152 (pow.f64 z 3)) (+.f64 (*.f64 -55070517921267226859/113322529505016252000 z) (*.f64 -2822999270619008117/5439481416240780096 (pow.f64 z 2)))) 7827144361880981797/18887088250836042000)
(-.f64 (fma.f64 -34648697975831492543/65273776994889361152 (pow.f64 z 3) (fma.f64 -55070517921267226859/113322529505016252000 z (*.f64 (pow.f64 z 2) -2822999270619008117/5439481416240780096))) 7827144361880981797/18887088250836042000)
(*.f64 9999999999998099/12591392167224028000 z)
(*.f64 9999999999998099/12591392167224028000 z)
7827144361880981797/30000000000000000
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localize161.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z)))))
1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
✓33.5b
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
Compiler

Compiled 425 to 331 computations (22.1% saved)

series15.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
1.0ms
z
@-inf
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
1.0ms
z
@0
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
Compiler

Compiled 1100 to 745 computations (32.3% saved)

rewrite1.5s (1%)

Algorithm
1×batch-egg-rewrite
Rules
40×egg-rr
Counts
1 → 40
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
Outputs
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(sin.f64 (*.f64 (PI.f64) z)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) -1) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 -1 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) 1) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2) 3))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2) 2) (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))) 1)) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) 3))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) -1/3)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) -3)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) -1)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (*.f64 1/2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1/2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1/2))))))

simplify2.2s (1.5%)

Algorithm
1×egglog
Counts
48 → 46
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)) 2)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 1/2))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) -1) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) -1))
(*.f64 (*.f64 -1 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 -1 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) 1) (cbrt.f64 2))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2) 3))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2) 2) (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2)))))
(/.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))) 1)) (cbrt.f64 -2))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) 3))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2)))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))))) (neg.f64 (cbrt.f64 2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)
(/.f64 (*.f64 2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 2)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 2) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) -1))
(neg.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(if (!=.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) -1/3)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) -3)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) -1)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(+.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (*.f64 1/2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1/2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1/2))
Outputs
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)))) 2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2)) 2)) 2)))
(cbrt.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 2) 2)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 1/2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) -1) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) -1))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (*.f64 -1 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 -1 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))))) 1) (cbrt.f64 2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2) 3))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2) 2) (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64)))) 1)) (cbrt.f64 -2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) 3))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2)))))
(cbrt.f64 (/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) z)) 3)) -1/8) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) z)) (pow.f64 (cos.f64 (*.f64 (PI.f64) z)) 2)) 1/4)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 z (+.f64 (PI.f64) (PI.f64))))))) (neg.f64 (cbrt.f64 2)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (*.f64 2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 2) 2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) -1))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(neg.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
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(if (!=.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) 0) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) -1/3) -1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) -3)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) 0) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) -3) -1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) -1)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 0) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2) -1) -1)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(+.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (*.f64 1/2 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1/2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1/2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))

eval2.0s (1.4%)

Compiler

Compiled 113266 to 88786 computations (21.6% saved)

prune429.0ms (0.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1194181212
Fresh14822
Picked101
Done314
Total1212271239
Error
0.0b
Counts
1239 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
2.3b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)))))) 3)
37.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) 2)) (PI.f64)) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
1.6b
(+.f64 (*.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))) (*.f64 (+.f64 (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))))
2.0b
(*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
2.3b
(*.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
36.3b
(*.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
2.0b
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)))) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (+.f64 z -15/2))))
✓1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (+.f64 z -15/2))))
▶1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 1 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (+.f64 z -15/2))))
2.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 7713234287776531/30000000000000) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (+.f64 z -15/2))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1)))) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (-.f64 15/2 z)))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
3.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 -1 z)))) 7713234287776531/30000000000000) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
▶1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (exp.f64 (-.f64 15/2 z))))))
2.0b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 (+.f64 0 z)) 15/2) (-.f64 1/2 (+.f64 0 z)))) (exp.f64 (+.f64 (+.f64 0 z) (neg.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 (+.f64 0 z)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 (+.f64 0 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 (+.f64 0 z)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 (+.f64 0 z))))))
▶1.9b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
2.6b
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))
2.2b
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)))))
1.5b
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7827144361880981797/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.7b
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) 2)))
2.7b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
▶1.8b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
1.8b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z))
▶45.1b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))))) 3))
Compiler

Compiled 3361 to 2741 computations (18.4% saved)

localize221.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 596 to 479 computations (19.6% saved)

series14.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

Compiled 1470 to 1250 computations (15% saved)

rewrite1.6s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
110×egg-rr
43×egg-rr
Counts
2 → 153
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 1 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(/.f64 1 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000))
Outputs
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-10000000000000/7713234287776531)) -3) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531) 3) 0) (pow.f64 (pow.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531) 3) (neg.f64 1/3)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))

simplify3.7s (2.4%)

Algorithm
1×egglog
Counts
169 → 237
Calls
Call 1
Inputs
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 62898174544540606049/103680000000000000 (pow.f64 z 3)) (+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
9999999999998099/10000000000000000
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)
(-.f64 (*.f64 -23139702863329593/10000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 -69419108589988779/10000000000000 (pow.f64 (/.f64 1 z) 3)) (*.f64 -23139702863329593/10000000000000 (pow.f64 (/.f64 1 z) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 -208257325769966337/10000000000000 (pow.f64 (/.f64 1 z) 4)) (+.f64 (*.f64 -69419108589988779/10000000000000 (pow.f64 (/.f64 1 z) 3)) (*.f64 -23139702863329593/10000000000000 (pow.f64 (/.f64 1 z) 2)))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))
(/.f64 -7713234287776531/10000000000000 z)
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(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 883075145810703/5000000000000 (+.f64 z -4)))) 1)
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Outputs
7827144361880981797/30000000000000000
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(/.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 z -3) 10000000000000/7713234287776531) 2)))
(cbrt.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (pow.f64 (*.f64 (+.f64 z -3) 10000000000000/7713234287776531) 2)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -1 (*.f64 (+.f64 z -3) 10000000000000/7713234287776531))
(*.f64 (pow.f64 (+.f64 z -3) -1) -7713234287776531/10000000000000)
(/.f64 (cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (cbrt.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.f64 -10000000000000/7713234287776531 (+.f64 z -3))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531) -1)
(*.f64 (pow.f64 (+.f64 z -3) -1) -7713234287776531/10000000000000)
(pow.f64 (/.f64 (*.f64 (+.f64 z -3) 10000000000000/7713234287776531) -1) -1)
(*.f64 (pow.f64 (+.f64 z -3) -1) -7713234287776531/10000000000000)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(neg.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(neg.f64 (/.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) 1))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(neg.f64 (*.f64 1 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(if (!=.f64 7713234287776531/10000000000000 0) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531) 0) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (*.f64 -10000000000000/7713234287776531 (+.f64 z -3)) 0) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 -1 0) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 1 0) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 -7713234287776531/10000000000000 0) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0) (/.f64 1 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0) (/.f64 -1 (/.f64 -1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (cbrt.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531)) 0) (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531)) -3) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (cbrt.f64 (*.f64 -10000000000000/7713234287776531 (+.f64 z -3))) 0) (pow.f64 (cbrt.f64 (*.f64 -10000000000000/7713234287776531 (+.f64 z -3))) -3) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (pow.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531) 3) 0) (pow.f64 (pow.f64 (*.f64 (+.f64 z -3) -10000000000000/7713234287776531) 3) (neg.f64 1/3)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(if (!=.f64 (*.f64 (pow.f64 (+.f64 z -3) 3) -1000000000000000000000000000000000000000/458891030965964263706993392018425544321343929291) 0) (pow.f64 (*.f64 (pow.f64 (+.f64 z -3) 3) -1000000000000000000000000000000000000000/458891030965964263706993392018425544321343929291) -1/3) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))
✓0.4b
(/.f64 z (exp.f64 -15/2))
✓0.6b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 55 to 46 computations (16.4% saved)

series19.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

Compiled 1570 to 1335 computations (15% saved)

rewrite1.7s (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
140×egg-rr
131×egg-rr
87×egg-rr
Counts
3 → 358
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
(/.f64 z (exp.f64 -15/2))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))
Outputs
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simplify5.9s (4%)

Algorithm
1×egglog
Counts
382 → 437
Calls
Call 1
Inputs
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
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(+.f64 1 (-.f64 -1 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (neg.f64 (exp.f64 -15/2)) z))))
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)))
Outputs
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(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
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(+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 1/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 1/2))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)))
(+.f64 (/.f64 0 (*.f64 z (neg.f64 (exp.f64 15/2)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)))
(+.f64 1 (-.f64 -1 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (neg.f64 (exp.f64 -15/2)) z))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)))
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)))

localize116.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))
✓0.6b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
Compiler

Compiled 255 to 187 computations (26.7% saved)

series100.0ms (0.1%)

Counts
3 → 14
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))
2.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))
1.0ms
z
@inf
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
1.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
1.0ms
z
@0
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
Compiler

Compiled 12565 to 10385 computations (17.3% saved)

rewrite1.8s (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
67×egg-rr
36×egg-rr
25×egg-rr
Counts
3 → 128
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 -5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 -6 z))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 -7 z))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 -8 z))) 7827144361880981797/30000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 -5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 -6 z))) (/.f64 -2496092394504893/250000000000000000000 (+.f64 -7 z))) (/.f64 -3764081837873279/25000000000000000000000 (+.f64 -8 z))) 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(sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))))))

simplify4.1s (2.8%)

Algorithm
1×egglog
Counts
142 → 171
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64)))) (pow.f64 15/2 1/2))) (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (*.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (*.f64 350291408665333106351952839/1411200000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64)))))) (pow.f64 15/2 1/2))) (PI.f64)) (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64)))) (pow.f64 15/2 1/2)))) (PI.f64))))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64)))) (pow.f64 15/2 1/2))) (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))) (pow.f64 (PI.f64) 3)) (PI.f64))))) (*.f64 z (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (*.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (PI.f64)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64))) (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (PI.f64)))) (pow.f64 15/2 1/2)))) (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 15/2 1/2)))) (PI.f64)))))))))
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z)
(+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))) (PI.f64))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))) (*.f64 -1/6 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 15/2 1/2)))) (PI.f64)))) z) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z)))))
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(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) 2)) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) 2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (+.f64 z -15/2)))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 2)))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 -15/2)) (exp.f64 z))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) 2)))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 1 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 1)
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (PI.f64) (*.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2)))
(/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 1)
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 1)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 3))
(neg.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))
(neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(if (!=.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) 0) (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
Outputs
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) (+.f64 1/2 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 2)))))) (fma.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 1) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)))) z (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)))))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 15/2 1/2) (+.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 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) z) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) (+.f64 1/2 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 2)))))) (fma.f64 (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (fma.f64 29/225 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 3))))) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))))))) (pow.f64 z 3) (fma.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (log.f64 15/2)) -1/15) 1) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)))) z (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 z (-.f64 15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))
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(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2)))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 z 15/2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 1)
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))) 3)
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 3) 1/3)
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 1)
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) 3))
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(if (!=.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) 0) (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(if (!=.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 0) (/.f64 (PI.f64) (/.f64 (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))

localize203.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
1.1b
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 558 to 444 computations (20.4% saved)

series9.0ms (0%)

Counts
1 → 11
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms
z
@-inf
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms
z
@0
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
Compiler

Compiled 840 to 710 computations (15.5% saved)

rewrite1.2s (0.8%)

Algorithm
1×batch-egg-rewrite
Results

Profiling

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