Details

Time bar (total: 21.1s)

analyze325.0ms (1.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%25%0%0%3
0%0%62.5%0%25%0%12.5%4
0%0%56.2%0%25%0%18.7%5
6.3%3.1%46.9%0%25%3.1%21.9%6
6.5%3.1%45.3%0%25%3.1%23.4%7
6.6%3.1%44.5%0%25%3.1%24.2%8
7.4%3.5%44.1%0%25%3.1%24.2%9
7.8%3.7%43.9%0%25%3.1%24.2%10
8%3.8%43.8%0%25%3.1%24.2%11
8%3.8%43.8%0%25%3.1%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.8s (51.2%)

Results
3.4s4004×body1024valid
3.2s3964×body1024invalid
1.3s1983×body512valid
1.2s2093×body512invalid
856.0ms556×body2048valid
588.0ms1713×body256valid
245.0ms1041×body256invalid
1.0ms1×body2048invalid
1.0ms4×body256unsamplable
Bogosity

preprocess129.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
1732×rational_best_oopsla_all_46_json_45_simplify-10
968×rational_best_oopsla_all_46_json_45_simplify-72
648×rational_best_oopsla_all_46_json_45_simplify-31
640×rational_best_oopsla_all_46_json_45_simplify-30
628×rational_best_oopsla_all_46_json_45_simplify-77
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
139127
293127
3332127
41803127
53939127
66445127
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify127.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1732×rational_best_oopsla_all_46_json_45_simplify-10
968×rational_best_oopsla_all_46_json_45_simplify-72
648×rational_best_oopsla_all_46_json_45_simplify-31
640×rational_best_oopsla_all_46_json_45_simplify-30
628×rational_best_oopsla_all_46_json_45_simplify-77
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
139127
293127
3332127
41803127
53939127
66445127
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))

eval1.0ms (0%)

Compiler

Compiled 75 to 57 computations (24% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
61.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶61.7b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))
Compiler

Compiled 38 to 29 computations (23.7% saved)

localize99.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
✓0.2b
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
✓0.5b
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
✓5.5b
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
Compiler

Compiled 194 to 129 computations (33.5% saved)

series62.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
31.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
24.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
2.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
1.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
1.0ms
f
@0
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))

rewrite161.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1164×rational_best_oopsla_all_46_json_45_simplify-102
900×rational_best_oopsla_all_46_json_45_simplify-35
650×rational_best_oopsla_all_46_json_45_simplify-80
630×rational_best_oopsla_all_46_json_45_simplify-23
542×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017268
1101268
2287268
31185268
44934268
Stop Event
1×node limit
Counts
4 → 127
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
Outputs
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simplify325.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1144×rational_best_oopsla_all_46_json_45_simplify-72
1076×rational_best_oopsla_all_46_json_45_simplify-89
884×rational_best_oopsla_all_46_json_45_simplify-24
846×rational_best_oopsla_all_46_json_45_simplify-74
654×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035413785
1125412101
2529011745
Stop Event
1×node limit
Counts
175 → 186
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
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(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))
(neg.f64 (*.f64 -1 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))
(+.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) 0)
(+.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))))
(+.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(+.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 (neg.f64 f) (/.f64 (PI.f64) 4)))))
(+.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (*.f64 0 (*.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (*.f64 (neg.f64 f) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(+.f64 0 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(+.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 (neg.f64 f) (/.f64 (PI.f64) 4)))) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (*.f64 (neg.f64 f) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) 0)
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))) 0))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) 0))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 0 (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 0 (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 0 (*.f64 (/.f64 (PI.f64) 4) f))
(-.f64 0 (-.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 0 (-.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 (/.f64 (PI.f64) 4) f))
(-.f64 (*.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 (/.f64 (PI.f64) 4) f))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) -1)
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) 1)
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 f f))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (*.f64 (/.f64 (PI.f64) 4) (/.f64 (neg.f64 f) (/.f64 (PI.f64) 4))) (*.f64 (/.f64 (PI.f64) 4) (/.f64 (neg.f64 f) (/.f64 (PI.f64) 4)))))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)) (/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))) (*.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 (PI.f64) 5) -1/122880))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 (PI.f64) 5) -1/122880))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 (pow.f64 (PI.f64) 7) -1/82575360))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f))
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(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))

eval226.0ms (1.1%)

Compiler

Compiled 15605 to 11114 computations (28.8% saved)

prune43.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2207227
Fresh000
Picked101
Done000
Total2217228
Error
1.1b
Counts
228 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.8b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
▶1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
▶1.8b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
▶61.7b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
▶1.9b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 0)))))
Compiler

Compiled 466 to 374 computations (19.7% saved)

localize129.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
✓1.0b
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓1.0b
(pow.f64 (PI.f64) 5)
✓1.0b
(pow.f64 (PI.f64) 3)
Compiler

Compiled 321 to 234 computations (27.1% saved)

series8.0ms (0%)

Counts
4 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
3.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
1.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))

rewrite86.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1508×rational_best_oopsla_all_46_json-2
1508×rational_best_oopsla_all_46_json-1
1508×rational_best_oopsla_all_46_json-4
1508×rational_best_oopsla_all_46_json-3
852×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033168
1219168
2722168
33413168
Stop Event
1×node limit
Counts
4 → 61
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 0 (*.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1/192 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (*.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (*.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/192 (pow.f64 (PI.f64) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/192 (pow.f64 (PI.f64) 3)))))))
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simplify113.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1150×rational_best_oopsla_all_46_json_45_simplify-49
770×rational_best_oopsla_all_46_json_45_simplify-89
750×rational_best_oopsla_all_46_json_45_simplify-7
744×rational_best_oopsla_all_46_json_45_simplify-72
690×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03156249
110025523
237555363
Stop Event
1×node limit
Counts
73 → 113
Calls
Call 1
Inputs
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(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))))
Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 f (*.f64 1/2 (+.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/4)))) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 f (*.f64 1/2 (*.f64 (PI.f64) 0))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (*.f64 f 0)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (+.f64 (*.f64 f (*.f64 1/2 (+.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/4)))) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/4)) 2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/24)) (*.f64 1/2 (PI.f64)))))))
(+.f64 (+.f64 (*.f64 f (*.f64 1/2 (*.f64 (PI.f64) 0))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2)) (*.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/12)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) 1)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
✓0.2b
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
✓0.2b
(*.f64 (*.f64 (PI.f64) 1/2) f)
✓0.5b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Compiler

Compiled 62 to 47 computations (24.2% saved)

series53.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
32.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
13.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
7.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
0.0ms
f
@0
(*.f64 (*.f64 (PI.f64) 1/2) f)
0.0ms
f
@-inf
(*.f64 (*.f64 (PI.f64) 1/2) f)

rewrite128.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1062×rational_best_oopsla_all_46_json_45_simplify-35
810×rational_best_oopsla_all_46_json_45_simplify-89
802×rational_best_oopsla_all_46_json_45_simplify-23
722×rational_best_oopsla_all_46_json_45_simplify-37
706×rational_best_oopsla_all_46_json_45_simplify-13
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018110
1110110
2330110
31566110
46867110
Stop Event
1×node limit
Counts
4 → 173
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
Outputs
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simplify139.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1466×rational_best_oopsla_all_46_json_45_simplify-72
1320×rational_best_oopsla_all_46_json_45_simplify-49
1028×rational_best_oopsla_all_46_json_45_simplify-7
776×rational_best_oopsla_all_46_json_45_simplify-89
650×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03267431
110337413
240987389
Stop Event
1×node limit
Counts
221 → 234
Calls
Call 1
Inputs
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Outputs
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(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 0)
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(*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
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(*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
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(*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
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(*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
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(*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 1 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
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(*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (*.f64 (neg.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (/.f64 -1 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
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(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (neg.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) -1)
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(neg.f64 (neg.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
✓0.5b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
✓2.0b
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
Compiler

Compiled 72 to 50 computations (30.6% saved)

series34.0ms (0.2%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
17.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
10.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
7.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
0.0ms
f
@-inf
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
0.0ms
f
@inf
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))

rewrite120.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
992×rational_best_oopsla_all_46_json_45_simplify-35
630×rational_best_oopsla_all_46_json_45_simplify-23
608×rational_best_oopsla_all_46_json_45_simplify-37
586×rational_best_oopsla_all_46_json_45_simplify-89
570×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020109
1119101
230997
3126197
4564897
Stop Event
1×node limit
Counts
3 → 123
Calls
Call 1
Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
Outputs
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simplify143.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1458×rational_best_oopsla_all_46_json_45_simplify-49
1394×rational_best_oopsla_all_46_json_45_simplify-72
1300×rational_best_oopsla_all_46_json_45_simplify-7
750×rational_best_oopsla_all_46_json_45_simplify-89
608×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02627409
18797233
244547233
Stop Event
1×node limit
Counts
147 → 140
Calls
Call 1
Inputs
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(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 1 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 1)
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (*.f64 (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (*.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) -1)
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))) (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 1)
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) -1)
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (PI.f64) 1/2) f)
0.2b
(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
✓0.5b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
✓0.5b
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
Compiler

Compiled 153 to 102 computations (33.3% saved)

series39.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
20.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
15.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
2.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1230×rational_best_oopsla_all_46_json_45_simplify-23
1020×rational_best_oopsla_all_46_json_45_simplify-13
1002×rational_best_oopsla_all_46_json_45_simplify-37
976×rational_best_oopsla_all_46_json-2
976×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023166
1148166
2477166
32301166
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Outputs
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simplify129.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1726×rational_best_oopsla_all_46_json_45_simplify-37
1404×rational_best_oopsla_all_46_json_45_simplify-13
836×rational_best_oopsla_all_46_json_45_simplify-49
666×rational_best_oopsla_all_46_json_45_simplify-72
580×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02269735
17439599
227239519
Stop Event
1×node limit
Counts
91 → 129
Calls
Call 1
Inputs
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Outputs
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(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4)))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4)))))) (*.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4)))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4)))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4)))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4)))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 1 (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (neg.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

localize106.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (PI.f64) f)
✓0.2b
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
✓0.5b
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
✓5.5b
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
Compiler

Compiled 185 to 107 computations (42.2% saved)

series87.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
85.0ms
f
@-inf
(*.f64 (PI.f64) f)
1.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
0.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
0.0ms
f
@0
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
0.0ms
f
@-inf
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))

rewrite122.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
928×rational_best_oopsla_all_46_json_45_simplify-35
744×rational_best_oopsla_all_46_json_45_simplify-80
594×rational_best_oopsla_all_46_json_45_simplify-23
586×rational_best_oopsla_all_46_json_45_simplify-89
530×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017238
1101238
2283238
31186238
45239238
Stop Event
1×node limit
Counts
4 → 113
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
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simplify175.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1094×rational_best_oopsla_all_46_json_45_simplify-72
1074×rational_best_oopsla_all_46_json_45_simplify-89
876×rational_best_oopsla_all_46_json_45_simplify-24
840×rational_best_oopsla_all_46_json_45_simplify-74
658×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032712067
1119410527
2488910171
Stop Event
1×node limit
Counts
161 → 170
Calls
Call 1
Inputs
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(-.f64 (*.f64 (PI.f64) f) 0)
(-.f64 0 (*.f64 f (neg.f64 (PI.f64))))
(-.f64 0 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (neg.f64 (PI.f64)))))
(-.f64 0 (*.f64 (*.f64 f (neg.f64 (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(-.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f))) (*.f64 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (*.f64 f (neg.f64 (PI.f64)))))
(/.f64 (*.f64 (PI.f64) f) 1)
(/.f64 (*.f64 (PI.f64) f) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)))
(/.f64 (*.f64 (PI.f64) f) (/.f64 f f))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 f (/.f64 (PI.f64) (PI.f64))) (*.f64 f (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (PI.f64) (/.f64 f (PI.f64))) (*.f64 (PI.f64) (/.f64 f (PI.f64)))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (/.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (PI.f64) (/.f64 f f)) (*.f64 (PI.f64) (/.f64 f f))))
(neg.f64 (*.f64 f (neg.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 (*.f64 f (neg.f64 (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 (PI.f64) 5) -1/122880))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))
(+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))
(+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 (PI.f64) 5) -1/122880))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 (pow.f64 (PI.f64) 7) -1/82575360))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4))))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) 0)
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) 2))))))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 0))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (-.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (/.f64 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))))) (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) 2)))))))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) 1/2)) 0) (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (*.f64 (PI.f64) 1/2)))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 0 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0) (*.f64 (PI.f64) 1/2)))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 0)))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
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(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))))) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))) 1)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))) (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(neg.f64 (*.f64 -1 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(+.f64 (*.f64 (PI.f64) f) 0)
(*.f64 (PI.f64) f)
(+.f64 (*.f64 (PI.f64) f) (*.f64 0 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(+.f64 (*.f64 (PI.f64) f) (*.f64 0 (*.f64 (PI.f64) (/.f64 f (PI.f64)))))
(*.f64 (PI.f64) f)
(+.f64 (*.f64 (PI.f64) f) (*.f64 0 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (/.f64 (PI.f64) (PI.f64))))))
(*.f64 (PI.f64) f)
(+.f64 (*.f64 (PI.f64) f) (*.f64 0 (*.f64 (PI.f64) (/.f64 f f))))
(*.f64 (PI.f64) f)
(+.f64 0 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(+.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(+.f64 (*.f64 0 (*.f64 (PI.f64) (/.f64 f (PI.f64)))) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(+.f64 (*.f64 0 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (/.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(+.f64 (*.f64 0 (*.f64 (PI.f64) (/.f64 f f))) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(-.f64 (*.f64 (PI.f64) f) 0)
(*.f64 (PI.f64) f)
(-.f64 0 (*.f64 f (neg.f64 (PI.f64))))
(neg.f64 (*.f64 f (neg.f64 (PI.f64))))
(-.f64 0 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 f (*.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 (PI.f64)))))
(-.f64 0 (*.f64 (*.f64 f (neg.f64 (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (PI.f64) (*.f64 f (neg.f64 (/.f64 (PI.f64) (PI.f64))))))
(-.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f))) (*.f64 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (*.f64 f (neg.f64 (PI.f64)))))
(*.f64 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (neg.f64 (*.f64 f (neg.f64 (PI.f64)))))
(/.f64 (*.f64 (PI.f64) f) 1)
(*.f64 (PI.f64) f)
(/.f64 (*.f64 (PI.f64) f) (/.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) f)
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(/.f64 (*.f64 (PI.f64) f) (/.f64 f f))
(*.f64 (PI.f64) f)
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 f (/.f64 (PI.f64) (PI.f64))) (*.f64 f (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (PI.f64) (/.f64 f (PI.f64))) (*.f64 (PI.f64) (/.f64 f (PI.f64)))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (/.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 f (*.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))) (*.f64 f (*.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (PI.f64) f) (/.f64 (*.f64 (PI.f64) (/.f64 f f)) (*.f64 (PI.f64) (/.f64 f f))))
(neg.f64 (*.f64 f (neg.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 f (*.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 (*.f64 f (neg.f64 (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (PI.f64) (*.f64 f (neg.f64 (/.f64 (PI.f64) (PI.f64))))))

eval1.1s (5.3%)

Compiler

Compiled 50829 to 35957 computations (29.3% saved)

prune262.0ms (1.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1011131024
Fresh112
Picked011
Done404
Total1016151031
Error
0.9b
Counts
1031 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 f)) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (/.f64 1 (/.f64 (PI.f64) 4))))
1.7b
(+.f64 (*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
▶1.8b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
53.3b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (pow.f64 (PI.f64) 5)))))))
▶1.7b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))))
▶1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))))
1.9b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
1.8b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
✓61.7b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
▶1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))))
▶1.9b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 0)))))
1.8b
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
1.8b
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
1.7b
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
Compiler

Compiled 798 to 653 computations (18.2% saved)

localize122.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.0b
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
1.0b
(pow.f64 (PI.f64) 5)
1.0b
(pow.f64 (PI.f64) 3)
Compiler

Compiled 313 to 218 computations (30.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
0.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))

rewrite69.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1458×rational_best_oopsla_all_46_json-2
1458×rational_best_oopsla_all_46_json-1
1458×rational_best_oopsla_all_46_json-4
1458×rational_best_oopsla_all_46_json-3
892×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033131
1218131
2704131
33359131
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Outputs
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simplify141.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1524×rational_best_oopsla_all_46_json_45_simplify-23
892×rational_best_oopsla_all_46_json_45_simplify-37
766×rational_best_oopsla_all_46_json_45_simplify-10
582×rational_best_oopsla_all_46_json_45_simplify-49
574×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02365651
17324925
223594765
374634763
Stop Event
1×node limit
Counts
27 → 65
Calls
Call 1
Inputs
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(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
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(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))))))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))))
Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 f (*.f64 1/2 (+.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/4)))) (*.f64 -1 (log.f64 f))))
(+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f (*.f64 1/2 (*.f64 (PI.f64) 0))) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (neg.f64 (log.f64 f)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 f 0)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 f (*.f64 1/2 (+.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/4)))) (*.f64 -1 (log.f64 f)))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/4)) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/24))))))))
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(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)) (+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 f (*.f64 (PI.f64) 1/2))))))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
✓0.2b
(/.f64 4 (*.f64 f (PI.f64)))
✓0.2b
(*.f64 f (PI.f64))
✓0.5b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
Compiler

Compiled 47 to 29 computations (38.3% saved)

series1.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
0.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
0.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
0.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
0.0ms
f
@inf
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
0.0ms
f
@0
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))

rewrite102.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
830×rational_best_oopsla_all_46_json_45_simplify-80
810×rational_best_oopsla_all_46_json_45_simplify-35
596×rational_best_oopsla_all_46_json_45_simplify-89
590×rational_best_oopsla_all_46_json_45_simplify-23
526×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01586
19086
226986
3119386
4507186
Stop Event
1×node limit
Counts
4 → 122
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 f (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
Outputs
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simplify146.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1280×rational_best_oopsla_all_46_json_45_simplify-72
1174×rational_best_oopsla_all_46_json_45_simplify-49
950×rational_best_oopsla_all_46_json_45_simplify-7
622×rational_best_oopsla_all_46_json_45_simplify-89
568×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02504926
18194910
236004910
Stop Event
1×node limit
Counts
146 → 152
Calls
Call 1
Inputs
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Outputs
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(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
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(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
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(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
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(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
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localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓0.5b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
✓2.0b
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 51 to 35 computations (31.4% saved)

series1.0ms (0%)

Counts
3 → 20
Calls

6 calls:

TimeVariablePointExpression
0.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
0.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
0.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
0.0ms
f
@-inf
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms
f
@inf
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite94.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
2062×rational_best_oopsla_all_46_json-2
2062×rational_best_oopsla_all_46_json-1
2062×rational_best_oopsla_all_46_json-4
2062×rational_best_oopsla_all_46_json-3
452×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01683
19079
223579
394979
4421379
Stop Event
1×node limit
Counts
3 → 113
Calls
Call 1
Inputs
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
Outputs
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simplify115.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1370×rational_best_oopsla_all_46_json_45_simplify-49
1270×rational_best_oopsla_all_46_json_45_simplify-72
1238×rational_best_oopsla_all_46_json_45_simplify-7
702×rational_best_oopsla_all_46_json_45_simplify-89
586×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02385275
18595107
240385107
Stop Event
1×node limit
Counts
133 → 137
Calls
Call 1
Inputs
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(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (/.f64 (PI.f64) 4)))
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(*.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
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(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1)
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(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
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(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -1 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
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(*.f64 (neg.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(*.f64 (*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

localize167.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
✓0.2b
(+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))
✓0.5b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))))
2.0b
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 125 to 89 computations (28.8% saved)

series4.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))))
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))))
0.0ms
f
@0
(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
0.0ms
f
@-inf
(+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))

rewrite94.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1066×rational_best_oopsla_all_46_json_45_simplify-37
868×rational_best_oopsla_all_46_json_45_simplify-89
836×rational_best_oopsla_all_46_json_45_simplify-23
812×rational_best_oopsla_all_46_json-2
812×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024163
1146155
2402151
31728151
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
Outputs
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simplify295.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1288×rational_best_oopsla_all_46_json_45_simplify-7
1160×rational_best_oopsla_all_46_json_45_simplify-89
996×rational_best_oopsla_all_46_json_45_simplify-24
916×rational_best_oopsla_all_46_json_45_simplify-74
688×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035313292
1138612860
2617612860
Stop Event
1×node limit
Counts
164 → 188
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64)))
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(*.f64 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) -1)
(*.f64 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(*.f64 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) (-.f64 0 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(*.f64 -1 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 -1 (*.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) -1)))
(*.f64 -1 (*.f64 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) -1)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
(*.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 1 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 1)
(/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) -1)
(neg.f64 (-.f64 (log.f64 f) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) 0)
(+.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) 0))
(+.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) 0))
(+.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) 0))
(+.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) 0))
(+.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 2))) 0))
(+.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) 0))
(+.f64 0 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 2)))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) 0)
(-.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) 0))
(-.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) 0))
(-.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) 0))
(-.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) 0))
(-.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 2))) 0))
(-.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) 0))
(-.f64 0 (*.f64 (pow.f64 f 2) (neg.f64 (pow.f64 (PI.f64) 2))))
(-.f64 0 (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 f 2) (neg.f64 (pow.f64 (PI.f64) 2)))))
(-.f64 0 (*.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (pow.f64 f 2)))
(-.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 f 2) (neg.f64 (pow.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) 1)
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 2))) (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 2)))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
(*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64)))
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(*.f64 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 (pow.f64 f 2) (neg.f64 (pow.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) 1)
(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))
(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 2))) (*.f64 (pow.f64 f 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 2)))))

localize80.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))))
✓1.0b
(*.f64 (PI.f64) 1/12)
✓1.0b
(*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2))
2.0b
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 211 to 155 computations (26.5% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))))
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))))

rewrite70.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1764×rational_best_oopsla_all_46_json_45_simplify-23
1446×rational_best_oopsla_all_46_json-2
1446×rational_best_oopsla_all_46_json-1
1444×rational_best_oopsla_all_46_json-4
1444×rational_best_oopsla_all_46_json-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031129
1209125
2606113
33092109
Stop Event
1×node limit
Counts
3 → 50
Calls
Call 1
Inputs
(*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2))
(*.f64 (PI.f64) 1/12)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)))))))))

simplify125.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1702×rational_best_oopsla_all_46_json_45_simplify-13
1696×rational_best_oopsla_all_46_json_45_simplify-89
1350×rational_best_oopsla_all_46_json_45_simplify-74
1262×rational_best_oopsla_all_46_json_45_simplify-24
944×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01473236
14613220
218383220
372033220
Stop Event
1×node limit
Counts
62 → 78
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (*.f64 4 (-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (*.f64 4 (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) 0)
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (*.f64 0 (*.f64 (PI.f64) 1/24)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (*.f64 0 (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)))))
(+.f64 0 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)))
(+.f64 (*.f64 0 (*.f64 (PI.f64) 1/24)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)))
(+.f64 (*.f64 0 (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) 0)
(-.f64 (*.f64 0 (*.f64 -1/12 (PI.f64))) (*.f64 (*.f64 -1/12 (PI.f64)) (*.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 0 (*.f64 -1/2 (PI.f64))) (*.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (PI.f64) 1/12)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) 1)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (/.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)) (PI.f64)) (*.f64 (/.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)) (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/12) 0)
(+.f64 (*.f64 (PI.f64) 1/12) (*.f64 0 (*.f64 1/12 (/.f64 (PI.f64) (PI.f64)))))
(+.f64 0 (*.f64 (PI.f64) 1/12))
(+.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) 1/24))
(+.f64 (*.f64 0 (*.f64 1/12 (/.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) 1/12))
(-.f64 (*.f64 (PI.f64) 1/12) 0)
(-.f64 0 (*.f64 -1/12 (PI.f64)))
(/.f64 (*.f64 (PI.f64) 1/12) 1)
(/.f64 (*.f64 (PI.f64) 1/12) (/.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)))
(/.f64 (*.f64 (PI.f64) 1/12) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) 1/12) (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (PI.f64))) (*.f64 1/12 (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 -1/12 (PI.f64)) -1)
(neg.f64 (*.f64 -1/12 (PI.f64)))
(+.f64 0 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))))
(+.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) 0)
(+.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) (*.f64 0 (*.f64 (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))))
(+.f64 (*.f64 0 (*.f64 (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))))
(+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f))))
(+.f64 (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))))
(+.f64 (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))))))
(+.f64 (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))))) (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))))
(+.f64 (*.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(+.f64 (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (*.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))))
(+.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 f))))
(+.f64 (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 f))) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))))
(-.f64 0 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) 0)
(-.f64 (*.f64 0 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)))))
(/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) 1)
(/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))
(/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)))))
(/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) (/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f))))))
(/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))))) (/.f64 (*.f64 (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24)))) (log.f64 f)))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 f 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 f 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 f 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 f 2)))
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eval648.0ms (3.1%)

Compiler

Compiled 32750 to 24073 computations (26.5% saved)

prune155.0ms (0.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New72210732
Fresh549
Picked101
Done235
Total73017747
Error
0.8b
Counts
747 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
1.7b
(+.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 f))))
▶1.6b
(+.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 4 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
▶1.5b
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
61.3b
(*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64)))
53.3b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (PI.f64) 5)))))))
1.9b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
1.8b
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✓61.7b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
✓1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))))
✓1.9b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 0)))))
1.8b
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (/.f64 (PI.f64) 4)))
61.3b
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
▶1.8b
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
▶61.3b
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
▶1.7b
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
Compiler

Compiled 732 to 592 computations (19.1% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
✓0.2b
(-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
✓0.4b
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
2.0b
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 76 to 50 computations (34.2% saved)

series2.0ms (0%)

Counts
3 → 16
Calls

9 calls:

TimeVariablePointExpression
0.0ms
f
@inf
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
0.0ms
f
@0
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
0.0ms
f
@-inf
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
0.0ms
f
@0
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
0.0ms
f
@inf
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))

rewrite108.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
806×rational_best_oopsla_all_46_json_45_simplify-35
774×rational_best_oopsla_all_46_json_45_simplify-108
712×rational_best_oopsla_all_46_json_45_simplify-80
504×rational_best_oopsla_all_46_json_45_simplify-23
486×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01775
19675
225375
3102975
4455875
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
Outputs
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simplify128.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1326×rational_best_oopsla_all_46_json_45_simplify-72
1088×rational_best_oopsla_all_46_json_45_simplify-7
1082×rational_best_oopsla_all_46_json_45_simplify-49
574×rational_best_oopsla_all_46_json_45_simplify-89
474×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02905677
19065443
242335429
Stop Event
1×node limit
Counts
167 → 176
Calls
Call 1
Inputs
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(-.f64 (-.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))) 0) (*.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (PI.f64) (neg.f64 (pow.f64 f 2)))))
(-.f64 (-.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))) 0) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))) 0) (*.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (PI.f64) (neg.f64 (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))) 0) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))))) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))))) (*.f64 1 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))))) (*.f64 -1 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))))) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))) (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))))) (*.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (PI.f64) (neg.f64 (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))) (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))) (*.f64 1 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))) (*.f64 -1 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))) (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))) (*.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (PI.f64) (neg.f64 (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))) (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 1 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 -1 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))) (*.f64 0 (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (PI.f64) (neg.f64 (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))) (*.f64 0 (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (*.f64 1 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (*.f64 -1 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))) (*.f64 0 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (*.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (PI.f64) (neg.f64 (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))) (*.f64 0 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) 1)
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12) -1)
(neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(neg.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(neg.f64 (*.f64 1 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(neg.f64 (*.f64 -1 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))
(neg.f64 (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 f 2)))
Outputs
(/.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (-.f64 (log.f64 -1) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) 0)
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(+.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 0 (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(+.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (+.f64 (*.f64 0 (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) 0))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(+.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (-.f64 (*.f64 0 (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) 0))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(+.f64 0 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(+.f64 (*.f64 0 (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(-.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) 0)
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(-.f64 0 (*.f64 -1 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))) (*.f64 -1 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
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(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) 1/6) (*.f64 (PI.f64) 1/6)))
(/.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (/.f64 (*.f64 (PI.f64) 1/6) (*.f64 (PI.f64) 1/6)))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (/.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))))
(/.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (/.f64 (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 -1/12 (/.f64 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 f 2))))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))) (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))))
(/.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (/.f64 (/.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12))) (/.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))))
(*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (PI.f64) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(/.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (/.f64 (*.f64 -1/12 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 -1/12 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12) -1)
(neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(neg.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/12)))
(neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(neg.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/12)))
(neg.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(neg.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/12)))
(neg.f64 (*.f64 1 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12)))
(neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(neg.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/12)))
(neg.f64 (*.f64 -1 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2)))))
(neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(neg.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/12)))
(neg.f64 (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 f 2)))
(neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1/12))
(neg.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/12)))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (pow.f64 f 2) (PI.f64))
0.2b
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
Compiler

Compiled 20 to 14 computations (30% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
f
@0
(*.f64 (pow.f64 f 2) (PI.f64))
0.0ms
f
@inf
(*.f64 (pow.f64 f 2) (PI.f64))
0.0ms
f
@-inf
(*.f64 (pow.f64 f 2) (PI.f64))

rewrite61.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1446×rational_best_oopsla_all_46_json-2
1446×rational_best_oopsla_all_46_json-1
1446×rational_best_oopsla_all_46_json-4
1446×rational_best_oopsla_all_46_json-3
1166×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
14715
213915
358115
4288215
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (pow.f64 f 2) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 f 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 (pow.f64 f 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))) (*.f64 (pow.f64 f 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (pow.f64 f 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 f 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))) (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2))) (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64))))))))

simplify128.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1502×rational_best_oopsla_all_46_json_45_simplify-72
1316×rational_best_oopsla_all_46_json_45_simplify-10
902×rational_best_oopsla_all_46_json_45_simplify-49
804×rational_best_oopsla_all_46_json_45_simplify-7
646×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057360
1173360
2719360
33325360
47514360
Stop Event
1×node limit
Counts
24 → 25
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 0)
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))))
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))))
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))))
(+.f64 0 (*.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (*.f64 0 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))) (*.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 f 2) (PI.f64)))
(-.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 0)
(-.f64 0 (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64))))
(-.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64)))))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 1)
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))) (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2))) (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))))
(neg.f64 (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64))))
Outputs
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 0)
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 0 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 0 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))) (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(+.f64 (*.f64 0 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(-.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 0)
(*.f64 (pow.f64 f 2) (PI.f64))
(-.f64 0 (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64))))
(*.f64 (pow.f64 f 2) (PI.f64))
(-.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) 1)
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 (PI.f64) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64))) (/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (pow.f64 f 2) (PI.f64)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 f 2) (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2))))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2))) (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (pow.f64 f 2)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (*.f64 (pow.f64 f 2) (PI.f64)) (/.f64 (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))))
(*.f64 (pow.f64 f 2) (PI.f64))
(neg.f64 (*.f64 (pow.f64 f 2) (neg.f64 (PI.f64))))
(*.f64 (pow.f64 f 2) (PI.f64))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
0.4b
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
2.0b
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 40 to 25 computations (37.5% saved)

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -1/12 (pow.f64 f 2))
✓0.3b
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
✓0.4b
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
2.0b
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 109 to 80 computations (26.6% saved)

series9.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
7.0ms
f
@-inf
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
1.0ms
f
@0
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
0.0ms
f
@inf
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
0.0ms
f
@inf
(*.f64 -1/12 (pow.f64 f 2))
0.0ms
f
@0
(*.f64 -1/12 (pow.f64 f 2))

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1830×rational_best_oopsla_all_46_json-2
1830×rational_best_oopsla_all_46_json-1
1830×rational_best_oopsla_all_46_json-4
1830×rational_best_oopsla_all_46_json-3
730×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02081
110781
222781
373881
4342481
Stop Event
1×node limit
Counts
3 → 98
Calls
Call 1
Inputs
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 -1/12 (pow.f64 f 2))
Outputs
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simplify112.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1104×rational_best_oopsla_all_46_json_45_simplify-72
898×rational_best_oopsla_all_46_json_45_simplify-93
894×rational_best_oopsla_all_46_json_45_simplify-89
748×rational_best_oopsla_all_46_json_45_simplify-24
714×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02244024
18623992
241823992
Stop Event
1×node limit
Counts
118 → 112
Calls
Call 1
Inputs
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(*.f64 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(neg.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(+.f64 (*.f64 -1/12 (pow.f64 f 2)) 0)
(+.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 0 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))))
(+.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 0 (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(+.f64 0 (*.f64 -1/12 (pow.f64 f 2)))
(+.f64 (*.f64 0 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 -1/12 (pow.f64 f 2)))
(+.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 -1/12 (pow.f64 f 2)))
(-.f64 (*.f64 -1/12 (pow.f64 f 2)) 0)
(-.f64 0 (*.f64 (pow.f64 f 2) 1/12))
(-.f64 (*.f64 0 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (pow.f64 f 2) 1/12)))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) 1)
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (pow.f64 f 2) 1/12) -1)
(neg.f64 (*.f64 (pow.f64 f 2) 1/12))
Outputs
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))))
(*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))
(neg.f64 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))
(neg.f64 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))
(neg.f64 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))
(neg.f64 (/.f64 (log.f64 f) (PI.f64)))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)) (PI.f64))
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (neg.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(+.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) 0)
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(+.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 0 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
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(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
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(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(+.f64 (*.f64 0 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
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(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(*.f64 1 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(*.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) 1)
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(*.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(neg.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(*.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 1 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))
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(*.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))
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(*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) -1)
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 -1 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 -1 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 -1 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) -1)))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) -1)))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) -1)))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 -1 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(*.f64 (*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(neg.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(/.f64 (log.f64 (/.f64 1 f)) (PI.f64))
(+.f64 (*.f64 -1/12 (pow.f64 f 2)) 0)
(*.f64 -1/12 (pow.f64 f 2))
(+.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 0 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))))
(*.f64 -1/12 (pow.f64 f 2))
(+.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 0 (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(*.f64 -1/12 (pow.f64 f 2))
(+.f64 0 (*.f64 -1/12 (pow.f64 f 2)))
(*.f64 -1/12 (pow.f64 f 2))
(+.f64 (*.f64 0 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 -1/12 (pow.f64 f 2)))
(*.f64 -1/12 (pow.f64 f 2))
(+.f64 (*.f64 0 (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))) (*.f64 -1/12 (pow.f64 f 2)))
(*.f64 -1/12 (pow.f64 f 2))
(-.f64 (*.f64 -1/12 (pow.f64 f 2)) 0)
(*.f64 -1/12 (pow.f64 f 2))
(-.f64 0 (*.f64 (pow.f64 f 2) 1/12))
(neg.f64 (*.f64 (pow.f64 f 2) 1/12))
(-.f64 (*.f64 0 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))) (*.f64 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 (pow.f64 f 2) 1/12)))
(*.f64 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))) (neg.f64 (*.f64 (pow.f64 f 2) 1/12)))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) 1)
(*.f64 -1/12 (pow.f64 f 2))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(*.f64 -1/12 (pow.f64 f 2))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2))) (/.f64 (*.f64 -1/12 (pow.f64 f 2)) (*.f64 -1/12 (pow.f64 f 2)))))
(/.f64 (*.f64 -1/12 (pow.f64 f 2)) (/.f64 (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2))) (*.f64 -1/12 (/.f64 (pow.f64 f 2) (pow.f64 f 2)))))
(/.f64 (*.f64 (pow.f64 f 2) 1/12) -1)
(neg.f64 (*.f64 (pow.f64 f 2) 1/12))
(neg.f64 (*.f64 (pow.f64 f 2) 1/12))

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (PI.f64) (*.f64 1/4 f))
✓0.2b
(*.f64 (PI.f64) (*.f64 -1/4 f))
✓0.3b
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
✓2.4b
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
Compiler

Compiled 181 to 129 computations (28.7% saved)

series9.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
f
@inf
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
1.0ms
f
@-inf
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
0.0ms
f
@0
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
0.0ms
f
@0
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
0.0ms
f
@inf
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))

rewrite208.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1128×rational_best_oopsla_all_46_json_45_simplify-35
766×rational_best_oopsla_all_46_json_45_simplify-23
734×rational_best_oopsla_all_46_json_45_simplify-89
658×rational_best_oopsla_all_46_json-2
658×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024176
1141176
2371176
31532176
46466176
Stop Event
1×node limit
Counts
4 → 217
Calls
Call 1
Inputs
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
(*.f64 (PI.f64) (*.f64 -1/4 f))
(*.f64 (PI.f64) (*.f64 1/4 f))
Outputs
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simplify207.0ms (1%)

Algorithm
1×egg-herbie
Rules
1694×rational_best_oopsla_all_46_json_45_simplify-37
1330×rational_best_oopsla_all_46_json_45_simplify-13
1116×rational_best_oopsla_all_46_json_45_simplify-49
828×rational_best_oopsla_all_46_json_45_simplify-7
666×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041210179
1114010051
237319955
Stop Event
1×node limit
Counts
265 → 269
Calls
Call 1
Inputs
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(-.f64 (*.f64 (*.f64 (PI.f64) -1/4) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(-.f64 (*.f64 (*.f64 (PI.f64) -1/4) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))))))
(-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))) 0) (*.f64 (PI.f64) (*.f64 -1/4 f)))
(-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))))))
(-.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f)))) (*.f64 (PI.f64) (*.f64 -1/4 f)))
(-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))) 0) (*.f64 (PI.f64) (*.f64 -1/4 f)))
(-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))))))
(-.f64 (*.f64 0 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f)))) (*.f64 (PI.f64) (*.f64 -1/4 f)))
(-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (*.f64 -1/4 (/.f64 (PI.f64) (PI.f64))))) 0) (*.f64 (PI.f64) (*.f64 -1/4 f)))
(-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (*.f64 -1/4 (/.f64 (PI.f64) (PI.f64))))) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))))))
(-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 f (*.f64 -1/4 (/.f64 (PI.f64) (PI.f64))))) 0) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 0 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))))))
(/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) -1)
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f)))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 f f))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 (*.f64 f 1/4) (/.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f 1/4) (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 (PI.f64) 1/4) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 f 1/4) (PI.f64))) (*.f64 (PI.f64) (/.f64 (*.f64 f 1/4) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f))) (*.f64 (PI.f64) (/.f64 (*.f64 -1/4 f) (*.f64 -1/4 f)))))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f))) (/.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(/.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f 1/4) (/.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f 1/4) (/.f64 (PI.f64) (PI.f64))))))
(neg.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))
Outputs
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/384) (*.f64 (pow.f64 (PI.f64) 2) 1/384)) (*.f64 (pow.f64 f 3) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 2) 0))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 f 3) 0)))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 1/256 (pow.f64 (PI.f64) 4)) (*.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 1/256 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -3/256)) (pow.f64 f 4))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/384) (*.f64 (pow.f64 (PI.f64) 2) 1/384)) (*.f64 (pow.f64 f 3) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -1/128) (pow.f64 f 4))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 2) 0)))))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -1/128) (pow.f64 f 4))) (*.f64 (pow.f64 f 3) 0))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64))))
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(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
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(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/384) (*.f64 (pow.f64 (PI.f64) 2) 1/384)))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 1/32 (PI.f64))) (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 1/256 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -3/256)) (pow.f64 f 4)) (PI.f64)))))))
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(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/32)) (+.f64 (*.f64 (pow.f64 f 3) 0) (+.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/24 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -1/128) (pow.f64 f 4)) (PI.f64)))))))
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
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(/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64))
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(/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 -1) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 -1) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 -1) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))))) (PI.f64))
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eval758.0ms (3.6%)

Compiler

Compiled 32165 to 23265 computations (27.7% saved)

prune414.0ms (2%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New8483851
Fresh099
Picked011
Done167
Total84919868
Error
0.8b
Counts
868 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
1.7b
(+.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 f))))
1.7b
(+.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 4 (-.f64 (neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
1.6b
(+.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 4 (-.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
✓1.5b
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
61.3b
(*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64)))
53.3b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (PI.f64) 5)))))))
1.9b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
1.8b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
✓61.7b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
✓1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))))
✓1.9b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
1.6b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 0)))))
1.8b
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (/.f64 (PI.f64) 4)))
61.3b
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
✓1.8b
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
✓61.3b
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
✓1.7b
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
1.8b
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/32)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))))
Compiler

Compiled 478 to 382 computations (20.1% saved)

regimes114.0ms (0.5%)

Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (/.f64 (PI.f64) 4)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 f)) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (/.f64 1 (/.f64 (PI.f64) 4))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/32)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))))
(+.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 4 (-.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(+.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 4 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 f 0) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/2)) 0) (*.f64 1/2 (pow.f64 f 2))))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(+.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/24))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (pow.f64 (PI.f64) 5)))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (PI.f64) 5)))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 0)))))
(+.f64 (*.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))) (*.f64 4 (-.f64 (neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (*.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (*.f64 (PI.f64) 1/2) f)))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
Outputs
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
Calls

6 calls:

19.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
15.0ms
f
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
5.0ms
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
5.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
Results
ErrorSegmentsBranch
1.5b1f
1.5b1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
1.5b1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.5b1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
1.5b1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
1.5b1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1045 to 776 computations (25.7% saved)

regimes92.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (/.f64 (PI.f64) 4)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 f)) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (/.f64 1 (/.f64 (PI.f64) 4))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
Calls

1 calls:

8.0ms
f
Results
ErrorSegmentsBranch
1.8b1f
Compiler

Compiled 160 to 120 computations (25% saved)

regimes7.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
Calls

1 calls:

5.0ms
f
Results
ErrorSegmentsBranch
1.8b1f
Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes7.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Outputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
Calls

1 calls:

4.0ms
f
Results
ErrorSegmentsBranch
1.9b1f
Compiler

Compiled 52 to 40 computations (23.1% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (*.f64 -1/8 (PI.f64)))
Outputs
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
Calls

1 calls:

3.0ms
f
Results
ErrorSegmentsBranch
61.3b1f
Compiler

Compiled 24 to 18 computations (25% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036228
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
Outputs
(+.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
Compiler

Compiled 76 to 64 computations (15.8% saved)

soundness391.0ms (1.9%)

Algorithm
3×egg-herbie
Rules
1732×rational_best_oopsla_all_46_json_45_simplify-10
1150×rational_best_oopsla_all_46_json_45_simplify-49
1144×rational_best_oopsla_all_46_json_45_simplify-72
1076×rational_best_oopsla_all_46_json_45_simplify-89
968×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
139127
293127
3332127
41803127
53939127
66445127
035413785
1125412101
2529011745
03156249
110025523
237555363
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1005 to 777 computations (22.7% saved)

end53.0ms (0.3%)

Compiler

Compiled 71 to 53 computations (25.4% saved)

Profiling

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