Details

Time bar (total: 20.0s)

analyze314.0ms (1.6%)

Algorithm
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)

sample9.9s (49.3%)

Results
3.2s4085×body1024invalid
3.1s3955×body1024valid
1.2s2069×body512valid
791.0ms2054×body512invalid
620.0ms498×body2048valid
603.0ms1734×body256valid
391.0ms1019×body256invalid
2.0msbody2048invalid
1.0msbody256unsamplable
Bogosity

preprocess72.0ms (0.4%)

Algorithm
egg-herbie
Rules
1356×associate-+r+
1096×fma-def
1034×associate-+l+
856×+-commutative
650×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
152121
2130117
3326109
41011109
52615109
65937109
011
Stop Event
saturated
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 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify64.0ms (0.3%)

Algorithm
egg-herbie
Rules
1356×associate-+r+
1096×fma-def
1034×associate-+l+
856×+-commutative
650×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020127
152121
2130117
3326109
41011109
52615109
65937109
Stop Event
node limit
Counts
1 → 8
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 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))

eval4.0ms (0%)

Compiler

Compiled 272 to 190 computations (30.1% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New718
Fresh101
Picked000
Done000
Total819
Error
95.41%
Counts
9 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
95.41%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 33 to 22 computations (33.3% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.12%
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
0.42%
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
0.44%
(*.f64 (PI.f64) f)
7.64%
(-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
Compiler

Compiled 147 to 82 computations (44.2% saved)

series6.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite137.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1462×associate-/l*
1080×associate-/r/
568×associate-/l/
346×add-sqr-sqrt
336×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016162
1347162
24699162
Stop Event
node limit
Counts
4 → 225
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (*.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (*.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (*.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (*.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) 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simplify124.0ms (0.6%)

Algorithm
egg-herbie
Rules
258×*-commutative
142×+-commutative
126×sqr-pow
116×associate-*l/
58×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05992951
124672951
Stop Event
unsound
Counts
273 → 269
Calls
Call 1
Inputs
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(+.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)))))
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(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)))) (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3)))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 1)
(*.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 1)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3)
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) 1/3)
(pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 f 1/4)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)
(pow.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)
(pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))
(pow.f64 (pow.f64 (exp.f64 -1/4) (sqrt.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (cbrt.f64 (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) -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)))))
(fma.f64 (*.f64 (PI.f64) -2) f (*.f64 (*.f64 (pow.f64 (PI.f64) -2) 1/192) (*.f64 f f)))
(+.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))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -2) f (*.f64 (*.f64 (pow.f64 (PI.f64) -2) 1/192) (*.f64 f f))))
(+.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)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -2) f (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 1/192) (*.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))) (pow.f64 (exp.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 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.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 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.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 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
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(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2))
-2
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2
(pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 1)
-2
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2)
-2
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3)
-2
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)
-2
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) 1/3)
-2
(pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 f 1/4)))
(pow.f64 -2 (*.f64 (PI.f64) (*.f64 1/4 f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) f))) -2) (*.f64 -2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -2)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)
(pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))
(pow.f64 (pow.f64 (exp.f64 -1/4) (sqrt.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (cbrt.f64 (*.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))
(sqrt.f64 -2)
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
-2
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3))
-2
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2

eval336.0ms (1.7%)

Compiler

Compiled 17999 to 10313 computations (42.7% saved)

prune124.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New35215367
Fresh000
Picked011
Done000
Total35216368
Error
2.26%
Counts
368 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
97.47%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
97.44%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
96.01%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.48%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -4 (PI.f64)))
95.41%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
98.08%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.82%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.81%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
2.94%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.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 -4 (PI.f64)))
3.1%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (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 -4 (PI.f64)))
3.87%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
97%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
3.97%
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
70.91%
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
3.12%
(*.f64 (log.f64 (+.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 -4 (PI.f64)))
3.97%
(*.f64 (log.f64 (+.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 -4 (PI.f64)))
Compiler

Compiled 1169 to 864 computations (26.1% saved)

localize192.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.56%
(pow.f64 (PI.f64) 5)
1.56%
(*.f64 1/384 (pow.f64 (PI.f64) 3))
1.56%
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
1.56%
(pow.f64 (PI.f64) 3)
Compiler

Compiled 397 to 289 computations (27.2% saved)

series0.0ms (0%)

Counts
4 → 0

rewrite71.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1940×add-sqr-sqrt
1886×*-un-lft-identity
1788×add-cube-cbrt
1776×add-cbrt-cube
226×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
125448
2275648
Stop Event
node limit
Counts
4 → 63
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 3)
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 5)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 5 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))))))

simplify55.0ms (0.3%)

Algorithm
egg-herbie
Rules
1354×associate-+r+
1354×associate-+l+
520×associate-/r*
474×associate-/l*
470×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121799
1252799
2907799
32745799
Stop Event
node limit
Counts
63 → 54
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 5 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(pow.f64 (PI.f64) 5)
(*.f64 1 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(pow.f64 (PI.f64) 5)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(pow.f64 (sqrt.f64 (PI.f64)) 10)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(pow.f64 (PI.f64) 5)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(pow.f64 (PI.f64) 5)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(pow.f64 (PI.f64) 5)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 (*.f64 5 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 5)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f)))
0.39%
(/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))
0.44%
(*.f64 (*.f64 (PI.f64) -2) f)
0.65%
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 43 to 31 computations (27.9% saved)

series54.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
28.0ms
f
@0
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
16.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
7.0ms
f
@inf
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
2.0ms
f
@-inf
(*.f64 (*.f64 (PI.f64) -2) f)
0.0ms
f
@0
(*.f64 (*.f64 (PI.f64) -2) f)

rewrite100.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1752×associate-*r/
1446×associate-*l/
1190×associate-/r*
456×associate-/l*
292×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014100
129382
2359682
Stop Event
node limit
Counts
4 → 223
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(*.f64 (*.f64 (PI.f64) -2) f)
(/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))
(log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 1 f) (PI.f64)) (/.f64 -4 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 (/.f64 1 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (/.f64 (*.f64 (PI.f64) -1/4) (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (/.f64 (PI.f64) (*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (/.f64 (*.f64 (PI.f64) -1/4) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2) (/.f64 (*.f64 (PI.f64) -1/4) (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2) (/.f64 (PI.f64) (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) -4) (neg.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) -4)) 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(2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (/.f64 1 f) (PI.f64)) 1))))))

simplify134.0ms (0.7%)

Algorithm
egg-herbie
Rules
992×times-frac
802×associate-+r+
736×associate-*l*
680×associate-+l+
580×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05439541
112828763
264458763
Stop Event
node limit
Counts
271 → 301
Calls
Call 1
Inputs
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(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (+.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 -2)))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) 3)) (+.f64 (+.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f)))))) (+.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 -2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) 3))) (+.f64 (+.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))))
(/.f64 (*.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) 1) (+.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) 3)) 1) (+.f64 (+.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))))
(pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 1 f) (PI.f64)) 1))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64))))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64))))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64))))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -1 (PI.f64))))) (PI.f64))
(*.f64 -2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
(*.f64 -2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
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(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
(*.f64 -2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
(*.f64 -2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
(*.f64 -2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
(*.f64 -2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
(*.f64 -2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f -2) (PI.f64))
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(*.f64 (*.f64 f -2) (PI.f64))
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(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
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(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
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(*.f64 (*.f64 f -2) (PI.f64))
(*.f64 (PI.f64) (*.f64 f -2))
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(/.f64 (/.f64 1 f) (PI.f64))
(/.f64 1 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
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(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
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(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 1 f) (PI.f64)) (/.f64 -4 (PI.f64)))))) 1)
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
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(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
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(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) -1/4)))
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(/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (/.f64 (*.f64 (PI.f64) -1/4) (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))))))
(/.f64 (*.f64 -4 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (PI.f64))
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(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
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(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 f) (PI.f64))) 2)))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 f) (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (neg.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f)))) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(+.f64 (+.f64 0 (log.f64 -2)) (log.f64 (/.f64 (/.f64 -1/2 (PI.f64)) f)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1/2 (*.f64 (PI.f64) f))))
(+.f64 (+.f64 0 (log.f64 -2)) (neg.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f)))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 f) (PI.f64))) 2))) (log.f64 (cbrt.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 -2) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 0 (log.f64 (/.f64 (PI.f64) (/.f64 1 f))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 -2 f)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 2 f))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 2))))
(-.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))))) 1)
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (+.f64 0 (log.f64 -2)) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 (+.f64 0 (log.f64 2)) (log.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 -2 f)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 2 f))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 2))))
(-.f64 (+.f64 0 (log.f64 (/.f64 1 (PI.f64)))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))) 1)
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (-.f64 (log.f64 -2) (log.f64 f)) (log.f64 (*.f64 -2 (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (PI.f64))) (log.f64 (*.f64 -2 f)))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (*.f64 -2 (PI.f64)))) (log.f64 f))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (sqrt.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (log.f64 (sqrt.f64 (*.f64 -2 (*.f64 (PI.f64) f)))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 (-.f64 (log.f64 -2) 0) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (*.f64 (PI.f64) f))) 2))) (log.f64 (cbrt.f64 (*.f64 -2 (*.f64 (PI.f64) f)))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))
(-.f64 (-.f64 (log.f64 (/.f64 1 (PI.f64))) 0) (log.f64 f))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (-.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (+.f64 (log.f64 (sqrt.f64 f)) (log.f64 (sqrt.f64 f))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 2 (log.f64 (sqrt.f64 f))))
(-.f64 (-.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f)))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 f))) (log.f64 (cbrt.f64 f))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 3 (log.f64 (cbrt.f64 f))))
(*.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 1)
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 1 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (+.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 -2)))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) 3)) (+.f64 (+.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) 3)) (+.f64 (fma.f64 (log.f64 -2) (log.f64 -2) (*.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) 3)) (fma.f64 (log.f64 -2) (log.f64 -2) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f)))))) (+.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 -2)))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) 3))) (+.f64 (+.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) 3)) (+.f64 (fma.f64 (log.f64 -2) (log.f64 -2) (*.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) 3)) (fma.f64 (log.f64 -2) (log.f64 -2) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) 1) (+.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 -2)))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) (log.f64 (*.f64 (PI.f64) (*.f64 f -2))))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) 3)) 1) (+.f64 (+.f64 (*.f64 (log.f64 -2) (log.f64 -2)) (*.f64 (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 -2 (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) 3)) (+.f64 (fma.f64 (log.f64 -2) (log.f64 -2) (*.f64 (log.f64 (*.f64 (*.f64 f -2) (PI.f64))) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))) (*.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 f -2) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) 3)) (fma.f64 (log.f64 -2) (log.f64 -2) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -2))) (+.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) (*.f64 f -2)))))))
(pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 1)
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 2)
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 3)
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 3) 1/3)
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 2))
(fabs.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64))) 3))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))) 1))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (-.f64 (/.f64 (/.f64 1 f) (PI.f64)) 1))
(log1p.f64 (+.f64 (/.f64 (/.f64 1 f) (PI.f64)) -1))
(log1p.f64 (expm1.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4%
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
0.44%
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
0.44%
(*.f64 (PI.f64) f)
0.73%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 145 to 88 computations (39.3% saved)

series66.0ms (0.3%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
37.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
25.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
2.0ms
f
@0
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
0.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
0.0ms
f
@0
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)

rewrite109.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
516×add-sqr-sqrt
502×pow1
502×*-un-lft-identity
488×add-exp-log
486×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024159
1526159
27263159
Stop Event
node limit
Counts
3 → 96
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
Outputs
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simplify102.0ms (0.5%)

Algorithm
egg-herbie
Rules
1812×unswap-sqr
700×associate-/l/
624×associate-+r+
548×associate-+l+
510×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03506944
110215728
246525632
Stop Event
node limit
Counts
120 → 184
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.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)))))) 2))) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64)))))
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(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (*.f64 (PI.f64) 1/2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) f) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) f) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) (*.f64 (PI.f64) 1/2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 2))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 f (neg.f64 (*.f64 (PI.f64) 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (/.f64 (*.f64 -2 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))) (PI.f64)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 (*.f64 (PI.f64) 0) (PI.f64)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 (PI.f64) (/.f64 (PI.f64) 0)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.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)))))) 2))) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 -2 (+.f64 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) (*.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (*.f64 0 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 (PI.f64) 0) (PI.f64))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (/.f64 (PI.f64) (/.f64 (PI.f64) 0))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.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)))))) 2))) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (+.f64 (*.f64 -3/32 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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)))))) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (pow.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)))))) 3))))) (pow.f64 f 3)) (PI.f64))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (fma.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (fma.f64 -2 (/.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) (*.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))) (/.f64 (*.f64 -2/3 (*.f64 (fma.f64 -3/32 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (pow.f64 (PI.f64) 2))) (fma.f64 3 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) 1/2)) 0)) (*.f64 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 3)))) (pow.f64 f 3))) (PI.f64)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (*.f64 0 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) (fma.f64 -2/3 (*.f64 (/.f64 (+.f64 0 (fma.f64 (*.f64 -3/64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) 2) 0) (*.f64 (PI.f64) 0))) (PI.f64)) (pow.f64 f 3)) (/.f64 (*.f64 (PI.f64) 0) (PI.f64)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 -2/3 (*.f64 (/.f64 (PI.f64) (/.f64 (PI.f64) 0)) (pow.f64 f 3)) (/.f64 (PI.f64) (/.f64 (PI.f64) 0)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/2))))) (PI.f64))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/2))) (log.f64 f)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 2)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 2)
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 3) 1/3)
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) -1)
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 2))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))) 2))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 f (neg.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) -1/2))))
(/.f64 (*.f64 -2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f -1/2)))
(/.f64 -2 (/.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2))) 2))
(fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) 3))
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3)))
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.43%
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
0.44%
(*.f64 (PI.f64) (*.f64 f 1/4))
0.44%
(*.f64 (PI.f64) f)
7.64%
(-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
Compiler

Compiled 175 to 109 computations (37.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite73.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
932×associate-*l/
900×associate-*r/
544×associate-/r*
418×add-sqr-sqrt
404×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022106
147716
2595716
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 f 1/4))
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (/.f64 8 f)) (/.f64 (PI.f64) (/.f64 8 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (/.f64 (PI.f64) (/.f64 8 f))) (/.f64 (PI.f64) (/.f64 8 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 4 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 f (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 (/.f64 1 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) f) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify65.0ms (0.3%)

Algorithm
egg-herbie
Rules
1746×times-frac
1280×associate-/l*
1082×associate-/r*
986×associate-*r/
722×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02233121
15423099
218282897
Stop Event
node limit
Counts
93 → 135
Calls
Call 1
Inputs
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/2 (/.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 1/2 (/.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 1/192 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (PI.f64)) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/2 (/.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 2 (/.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 (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 (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 (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 (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 (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 (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 (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 (PI.f64) (*.f64 f 1/4)) 0)
(+.f64 0 (*.f64 (PI.f64) (*.f64 f 1/4)))
(+.f64 (/.f64 (PI.f64) (/.f64 8 f)) (/.f64 (PI.f64) (/.f64 8 f)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))))
(+.f64 (+.f64 0 (/.f64 (PI.f64) (/.f64 8 f))) (/.f64 (PI.f64) (/.f64 8 f)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 1)
(/.f64 (PI.f64) (/.f64 4 f))
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 1/4 (/.f64 (/.f64 1 f) (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) f))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) (/.f64 4 (cbrt.f64 (*.f64 (PI.f64) f))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) -4)
(/.f64 (/.f64 (PI.f64) 4) (/.f64 1 f))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 4 f)))
(/.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 f)) 1) -4)
(/.f64 (neg.f64 (*.f64 (PI.f64) (neg.f64 f))) 4)
(/.f64 (*.f64 1 (neg.f64 (PI.f64))) (neg.f64 (/.f64 4 f)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (PI.f64) (neg.f64 f)))) 4)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 1) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (PI.f64))) (sqrt.f64 (/.f64 4 f)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (*.f64 (PI.f64) (neg.f64 f)))) (sqrt.f64 -4))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) 1) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (*.f64 (PI.f64) f))) (cbrt.f64 4))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 4 f)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 f)))) (cbrt.f64 -4))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 2)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (/.f64 4 f)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) 1) (/.f64 4 (cbrt.f64 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) 1) (neg.f64 (/.f64 4 f)))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (neg.f64 f))) 1) 4)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (neg.f64 f))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 -4))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) f)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 4))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 (/.f64 4 f)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (neg.f64 f))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 -4))
(/.f64 (/.f64 (PI.f64) 1) (/.f64 4 f))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (/.f64 4 f))) (sqrt.f64 (/.f64 4 f)))
(/.f64 (/.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 4 f)) (cbrt.f64 (/.f64 4 f)))) (cbrt.f64 (/.f64 4 f)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1)
(neg.f64 (/.f64 (*.f64 (PI.f64) f) -4))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f 1/4) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
0
Outputs
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/2 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/2 (/.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 2 (*.f64 f (*.f64 (PI.f64) 1/2))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.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 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (fma.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) -2)) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 (*.f64 (*.f64 (PI.f64) 2) 1/96) -2)) 1) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (PI.f64)) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/2 (/.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))))))))
(fma.f64 (*.f64 f f) (-.f64 (*.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) 1/2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (PI.f64))))) (+.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.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 (fma.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) -2)) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2))) (fma.f64 (*.f64 f f) (fma.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (PI.f64)) -1/2)) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 (*.f64 (*.f64 (PI.f64) 2) 1/96) -2)) 1) (fma.f64 (*.f64 f f) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/96) (*.f64 (pow.f64 (PI.f64) 2) 1/96)) (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(*.f64 2 (/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(+.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 0)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 0 (*.f64 (PI.f64) (*.f64 f 1/4)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (/.f64 (PI.f64) (/.f64 8 f)) (/.f64 (PI.f64) (/.f64 8 f)))
(*.f64 2 (*.f64 (/.f64 (PI.f64) 8) f))
(/.f64 (*.f64 2 (PI.f64)) (/.f64 8 f))
(*.f64 f (*.f64 2 (/.f64 (PI.f64) 8)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 1/4 (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 f (/.f64 (PI.f64) 4))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 1/4 (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 f (/.f64 (PI.f64) 4))))))
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(*.f64 2 (*.f64 (/.f64 (PI.f64) 8) f))
(/.f64 (*.f64 2 (PI.f64)) (/.f64 8 f))
(*.f64 f (*.f64 2 (/.f64 (PI.f64) 8)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 1/4 (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 f (/.f64 (PI.f64) 4))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 1)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (PI.f64) (/.f64 4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 f (/.f64 4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 1/4 (/.f64 (/.f64 1 f) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (PI.f64) f) 4)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 f (PI.f64))) 4) (sqrt.f64 (*.f64 f (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 f (PI.f64))) (/.f64 (sqrt.f64 (*.f64 f (PI.f64))) 4))
(*.f64 (sqrt.f64 (*.f64 f (PI.f64))) (*.f64 1/4 (sqrt.f64 (*.f64 f (PI.f64)))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (PI.f64)) f)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 4) (*.f64 f (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 4 f))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) (/.f64 4 (cbrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 2) 4) (cbrt.f64 (*.f64 f (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 f (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 2) 4))
(*.f64 (cbrt.f64 (*.f64 f (PI.f64))) (*.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 4 f)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 4 f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 1/4 f) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) -4)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (/.f64 (PI.f64) 4) (/.f64 1 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 4 f)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 f)) 1) -4)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (neg.f64 (*.f64 (PI.f64) (neg.f64 f))) 4)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 1 (neg.f64 (PI.f64))) (neg.f64 (/.f64 4 f)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (PI.f64) (neg.f64 f)))) 4)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 1) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (sqrt.f64 (*.f64 f (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (PI.f64))) (sqrt.f64 (/.f64 4 f)))
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 4 f))) (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))))
(*.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 4 f))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (sqrt.f64 (*.f64 (PI.f64) (neg.f64 f)))) (sqrt.f64 -4))
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 (PI.f64) (neg.f64 f)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) (sqrt.f64 -4)) (sqrt.f64 (*.f64 f (neg.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (*.f64 f (neg.f64 (PI.f64)))) (sqrt.f64 -4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) 1) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (*.f64 (PI.f64) f))) (cbrt.f64 4))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 4) (cbrt.f64 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 4)) (cbrt.f64 (*.f64 f (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (*.f64 f (PI.f64))) (cbrt.f64 4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 4 f)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (/.f64 4 f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 (/.f64 4 f))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (/.f64 4 f))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 f)))) (cbrt.f64 -4))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 -4) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 -4)) (cbrt.f64 (*.f64 f (neg.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (*.f64 f (neg.f64 (PI.f64)))) (cbrt.f64 -4)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 2)
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (sqrt.f64 (*.f64 f (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (/.f64 4 f)))
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 4 f))) (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))))
(*.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 4 f))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 f (PI.f64))) 4) (sqrt.f64 (*.f64 f (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 f (PI.f64))) (/.f64 (sqrt.f64 (*.f64 f (PI.f64))) 4))
(*.f64 (sqrt.f64 (*.f64 f (PI.f64))) (*.f64 1/4 (sqrt.f64 (*.f64 f (PI.f64)))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (PI.f64)) f)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 4) (*.f64 f (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 4 f))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) 1) (/.f64 4 (cbrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 2) 4) (cbrt.f64 (*.f64 f (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 f (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 2) 4))
(*.f64 (cbrt.f64 (*.f64 f (PI.f64))) (*.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 4 f)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 4 f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 1/4 f) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) 1) (neg.f64 (/.f64 4 f)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (neg.f64 f))) 1) 4)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (neg.f64 f))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 -4))
(/.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 (PI.f64) (neg.f64 f)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) (sqrt.f64 -4)) (sqrt.f64 (*.f64 f (neg.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 (sqrt.f64 (*.f64 f (neg.f64 (PI.f64)))) (sqrt.f64 -4)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) f)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 4))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 4) (cbrt.f64 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 4)) (cbrt.f64 (*.f64 f (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (*.f64 f (PI.f64))) (cbrt.f64 4)))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 (/.f64 4 f)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (/.f64 4 f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 (/.f64 4 f))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (/.f64 4 f))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (neg.f64 f))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)) (cbrt.f64 -4))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 -4) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 (PI.f64) 4))) 2) (cbrt.f64 -4)) (cbrt.f64 (*.f64 f (neg.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2) (/.f64 (cbrt.f64 (*.f64 f (neg.f64 (PI.f64)))) (cbrt.f64 -4)))
(/.f64 (/.f64 (PI.f64) 1) (/.f64 4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (/.f64 4 f))) (sqrt.f64 (/.f64 4 f)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (/.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 4 f)) (cbrt.f64 (/.f64 4 f)))) (cbrt.f64 (/.f64 4 f)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 3)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 3) 1/3)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(neg.f64 (/.f64 (*.f64 (PI.f64) f) -4))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 2))
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 2))
(fabs.f64 (*.f64 f (/.f64 (PI.f64) 4)))
(fabs.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))
(*.f64 1/4 (log.f64 (pow.f64 (exp.f64 f) (PI.f64))))
(*.f64 1/4 (*.f64 (PI.f64) (log.f64 (exp.f64 f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 3))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f 1/4) 3)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f 1/4) 3) (pow.f64 (PI.f64) 3)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 1))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (/.f64 (PI.f64) 4))
0

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.44%
(*.f64 (PI.f64) f)
1.21%
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
7.64%
(-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
8.71%
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
Compiler

Compiled 179 to 89 computations (50.3% saved)

series39.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
20.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
17.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
2.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
0.0ms
f
@0
(-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
0.0ms
f
@inf
(-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))

rewrite132.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1468×associate-/l*
1128×associate-/r/
384×add-sqr-sqrt
374×*-un-lft-identity
372×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021147
1446147
25151147
Stop Event
node limit
Counts
3 → 205
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
Outputs
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simplify87.0ms (0.4%)

Algorithm
egg-herbie
Rules
212×*-commutative
172×+-commutative
102×sqr-pow
96×sub-neg
70×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05712843
120372843
Stop Event
unsound
Counts
241 → 246
Calls
Call 1
Inputs
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.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 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
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(log.f64 (/.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)))))))
(log.f64 (/.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)))))))
(log.f64 (/.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)))))))
(log.f64 (/.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)))))))
(log.f64 (/.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)))))))
(log.f64 (/.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)))))))
(log.f64 (/.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)))))))
(log.f64 (/.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 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (*.f64 (PI.f64) f) 1)
(*.f64 1 (*.f64 (PI.f64) f))
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(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1))
Outputs
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.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)))))
(fma.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))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.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 (*.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)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1)
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (fma.f64 1/2 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) -1)) (neg.f64 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.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)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.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)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f)))))
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(sqrt.f64 -1)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
-1
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1))
-1
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1))
(log1p.f64 -1)

eval1.3s (6.4%)

Compiler

Compiled 49696 to 32620 computations (34.4% saved)

prune415.0ms (2.1%)

Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1235291264
Fresh6410
Picked011
Done415
Total1245351280
Error
1.61%
Counts
1280 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
22.66%
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 3)
5.69%
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
4.71%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
4.78%
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
3.91%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
4.89%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))
70.91%
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
100%
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
5.31%
(*.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))))) (/.f64 -4 (PI.f64)))
5.39%
(*.f64 (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))))) (/.f64 -4 (PI.f64)))
99.36%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
2.95%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
3.11%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
69.02%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3))) (/.f64 -4 (PI.f64)))
3.88%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
95.48%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -4 (PI.f64)))
95.41%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.82%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.81%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
96.84%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1))) (/.f64 -4 (PI.f64)))
98.49%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
3.1%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (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 -4 (PI.f64)))
3.87%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
96.88%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))
3.91%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
97%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
3.97%
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
3.86%
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (*.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
4.8%
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
3.83%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
70.91%
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
4.73%
(*.f64 -4 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)))
21.64%
(log.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)) (/.f64 -4 (PI.f64))) 0))
21.96%
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3))
5.25%
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)))
Compiler

Compiled 1730 to 1314 computations (24% saved)

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.73%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
1.56%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
1.56%
(pow.f64 (PI.f64) 5)
1.56%
(pow.f64 (PI.f64) 3)
Compiler

Compiled 240 to 162 computations (32.5% saved)

series11.0ms (0.1%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
5.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
4.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
2.0ms
f
@0
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))

rewrite53.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
722×add-sqr-sqrt
688×*-un-lft-identity
680×pow1
678×add-exp-log
676×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035152
1752152
Stop Event
node limit
Counts
2 → 23
Calls
Call 1
Inputs
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 6) 1/36864)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) 4) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 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simplify79.0ms (0.4%)

Algorithm
egg-herbie
Rules
1622×associate-/r*
1208×times-frac
1086×*-commutative
906×associate-/l*
698×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02685081
17374803
227704749
Stop Event
node limit
Counts
35 → 83
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
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(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (*.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4)) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) 1)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) 2))
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) 2)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))))
(fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 -2 (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (/.f64 0 (PI.f64)) f))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)
(+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.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))))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64)))))
(fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 -2 (+.f64 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))))) (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (*.f64 (/.f64 0 (PI.f64)) f)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3))))) (PI.f64))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.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))))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))))))
(fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 -2 (+.f64 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))))) (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (*.f64 (/.f64 0 (PI.f64)) f)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 -4 (/.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))))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 (log.f64 f) -5) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (*.f64 (log.f64 f) -5) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 -4 (/.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))))) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (PI.f64))) (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 -4 (/.f64 (+.f64 (*.f64 (log.f64 f) -5) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))))) (PI.f64)) (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 -4 (/.f64 (+.f64 (*.f64 (log.f64 f) -5) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (pow.f64 (PI.f64) 5))))) (PI.f64)) (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))) (+.f64 (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 -4 (/.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))))) (PI.f64)))))
(fma.f64 -1/6 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) -4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (*.f64 (PI.f64) (pow.f64 f 4))) (+.f64 (*.f64 -4 (/.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (PI.f64))) (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
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(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) 1) (PI.f64))
(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
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(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
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(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) -4) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) -4)) (cbrt.f64 (PI.f64)))
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(*.f64 (/.f64 -4 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))
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(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) 1)
(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) 2))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (/.f64 -4 (PI.f64))) 2))
(fabs.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64))))
(fabs.f64 (log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64)))))
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64))) 2)))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (/.f64 -4 (PI.f64))) (pow.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (/.f64 -4 (PI.f64))) 2)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) (/.f64 -4 (PI.f64))))

localize7.0ms (0%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.22%
(pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))
0.38%
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))
0.56%
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
0.65%
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
Compiler

Compiled 86 to 60 computations (30.2% saved)

series121.0ms (0.6%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
62.0ms
f
@-inf
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
22.0ms
f
@inf
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
20.0ms
f
@inf
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
15.0ms
f
@-inf
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
1.0ms
f
@0
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))

rewrite114.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
476×distribute-rgt-in
450×distribute-lft-in
412×associate-/r/
392×distribute-lft-neg-in
354×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016152
1346152
24606152
Stop Event
node limit
Counts
4 → 236
Calls
Call 1
Inputs
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))
(pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))
Outputs
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simplify120.0ms (0.6%)

Algorithm
egg-herbie
Rules
836×associate-*r*
816×times-frac
756×associate-*l*
698×associate-/l*
624×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065813204
1169512180
Stop Event
node limit
Counts
284 → 352
Calls
Call 1
Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64)))) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -1/96 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/8 (*.f64 f (PI.f64))))) 1)
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
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(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
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(+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
1
(+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
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(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))))) 1)
(/.f64 4 (*.f64 (/.f64 (PI.f64) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) f))
(/.f64 4 (/.f64 (*.f64 (PI.f64) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) (/.f64 f (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (/.f64 f (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) (/.f64 f (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
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(/.f64 1 (/.f64 (PI.f64) (*.f64 (/.f64 4 f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
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(/.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 f (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) f)
(/.f64 (*.f64 (/.f64 4 f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (*.f64 4 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) f))
(/.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))
(/.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (neg.f64 f) (*.f64 (PI.f64) 1/4)))
(/.f64 -4 (*.f64 (neg.f64 (PI.f64)) (/.f64 f (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 -4 (*.f64 (/.f64 f (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) -4) (*.f64 (PI.f64) (neg.f64 f)))
(/.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (sqrt.f64 f) (*.f64 (PI.f64) 1/4))) (sqrt.f64 f))
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(log1p.f64 (-.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)
(*.f64 1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 -1 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f)))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (pow.f64 1 (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -1/2)) (*.f64 (PI.f64) f)) (pow.f64 (cbrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) f)) (PI.f64)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) f)) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) f)) (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) f)) (PI.f64)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(-.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1)
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) -1)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (-.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) 1))
(+.f64 (fma.f64 1/8 (*.f64 f (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))) -1)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -1/96 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/8 (*.f64 f (PI.f64))))) 1)
(+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (-.f64 (fma.f64 -1/96 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 1/8 f) (PI.f64))) 1))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (+.f64 (fma.f64 -1/96 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (*.f64 f (*.f64 (PI.f64) 1/8))) -1))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(fma.f64 -1/4 f (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (fma.f64 f -1/4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
(fma.f64 -1/4 f (+.f64 (fma.f64 1/2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (-.f64 (/.f64 (*.f64 f f) (/.f64 (PI.f64) 0)) (/.f64 (log.f64 f) (PI.f64))) (fma.f64 f -1/4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/64 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 3/64 (pow.f64 (PI.f64) 3)) (*.f64 -1/32 (pow.f64 (PI.f64) 3))))) (PI.f64)))))))
(fma.f64 -1/4 f (+.f64 (fma.f64 1/2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (*.f64 1/6 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -1/64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 f f) (/.f64 (PI.f64) 0)) (/.f64 (log.f64 f) (PI.f64))) (fma.f64 f -1/4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (*.f64 (pow.f64 (PI.f64) 3) 0))))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (PI.f64)))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (PI.f64)))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (PI.f64)))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (PI.f64)))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 (/.f64 (PI.f64) -4))) (log.f64 (/.f64 -1 f))) (PI.f64))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 -1/4 (*.f64 f (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/4 (*.f64 f (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 0)) (fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (*.f64 f (*.f64 f 0)) (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/4 (*.f64 f (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/64 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 3/64 (pow.f64 (PI.f64) 3)) (*.f64 -1/32 (pow.f64 (PI.f64) 3)))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 0)) (fma.f64 -1/4 (*.f64 f (PI.f64)) (fma.f64 1/6 (*.f64 (pow.f64 f 3) (fma.f64 -1/64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (*.f64 f (*.f64 f 0)) (fma.f64 (PI.f64) (*.f64 f -1/4) (-.f64 (fma.f64 (*.f64 1/6 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 3) 0) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (PI.f64)))))
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
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(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/4 f))) (log.f64 f)))
(/.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (log.f64 f)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)) 3)) (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)) (-.f64 (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) 3)) (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (*.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f)) 3)) (fma.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f)) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)) 3)) (*.f64 1 (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)) (-.f64 (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) 3)) (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (*.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f)) 3)) (fma.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f)) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 1)
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2)
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 3)
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3) 1/3)
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(neg.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (/.f64 4 f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(neg.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (log.f64 (/.f64 f (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4)))
(neg.f64 (+.f64 (log.f64 (/.f64 f (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (*.f64 (PI.f64) 1/4))))
(-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4)))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) 2))
(fabs.f64 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3))
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))))
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(exp.f64 (log.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))))
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 1))
(fma.f64 (PI.f64) (*.f64 f -1/4) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(log1p.f64 (-.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))) 1))
(log1p.f64 (fma.f64 4 (/.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (PI.f64)) f) -1))
(log1p.f64 (fma.f64 (/.f64 4 (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) -1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 -1 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f)))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 (pow.f64 1 (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)))
(pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 2 (*.f64 f (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -1/2)) (*.f64 (PI.f64) f)) (pow.f64 (cbrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -1/2)) (*.f64 f (PI.f64))) (pow.f64 (cbrt.f64 (exp.f64 -1/4)) (*.f64 f (PI.f64))))
(*.f64 (pow.f64 1 (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) f)) (PI.f64)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) f)) (PI.f64)))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) f)) (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) f)) (*.f64 (PI.f64) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) f)) (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) f)) (PI.f64)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(exp.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 1))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.44%
(*.f64 (PI.f64) (*.f64 1/2 f))
0.44%
(*.f64 (PI.f64) f)
0.73%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
0.81%
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
Compiler

Compiled 143 to 89 computations (37.8% saved)

series45.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
20.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
18.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
3.0ms
f
@0
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
1.0ms
f
@0
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
1.0ms
f
@-inf
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
584×associate-/r/
496×add-sqr-sqrt
486×associate-/l/
478×*-un-lft-identity
476×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025111
1531111
26494111
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
(*.f64 (PI.f64) (*.f64 1/2 f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 1/2 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (PI.f64) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 f (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 f) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) f) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 f)) (*.f64 (sqrt.f64 (*.f64 1/2 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (*.f64 1/2 f)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f f))) (*.f64 (cbrt.f64 (*.f64 1/2 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 1/2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) f)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 1/2 f))) (sqrt.f64 (*.f64 1/2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 1/4 (*.f64 f f)))) (cbrt.f64 (*.f64 1/2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 f) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 1/2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) f)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 f)) (sqrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 (+.f64 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(pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (+.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))

simplify76.0ms (0.4%)

Algorithm
egg-herbie
Rules
1326×associate-/r*
1092×distribute-lft-in
1088×distribute-rgt-in
1006×associate-/l*
512×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02504631
16484173
225674173
Stop Event
node limit
Counts
105 → 123
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 1/2) 2))))))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 1/2) 2))))))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/256 (pow.f64 (PI.f64) 4)) (*.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (PI.f64))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 2) (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (PI.f64))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (PI.f64))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (PI.f64))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (PI.f64))))) (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(*.f64 (PI.f64) (*.f64 1/2 f))
(*.f64 1/2 (*.f64 (PI.f64) f))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(*.f64 (*.f64 (PI.f64) f) 1/2)
(*.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f)))
(*.f64 (sqrt.f64 (*.f64 1/2 f)) (*.f64 (sqrt.f64 (*.f64 1/2 f)) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 f)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (*.f64 1/2 f)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f f))) (*.f64 (cbrt.f64 (*.f64 1/2 f)) (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 1/2 f)))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/4))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 1/2 f))) (sqrt.f64 (*.f64 1/2 f)))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 1/4 (*.f64 f f)))) (cbrt.f64 (*.f64 1/2 f)))
(*.f64 (*.f64 (*.f64 1/2 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 1/2 f) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 1/2 f)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) f)
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 f)) (sqrt.f64 f))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))))) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))) (*.f64 (*.f64 (PI.f64) -1/4) (+.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)) (*.f64 (*.f64 (PI.f64) -1/4) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (+.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4)) (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 1))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (/.f64 2 (pow.f64 (sqrt.f64 1/2) 2)) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
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(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (/.f64 2 (pow.f64 (sqrt.f64 1/2) 2)) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 -1/8 (*.f64 (PI.f64) (*.f64 f f))))
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(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 1))
(log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) -1))
(log.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 0))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 1))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))) 1))
(log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (*.f64 1/2 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) -1))
(log.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 0))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(*.f64 1/2 (*.f64 (PI.f64) f))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
(*.f64 1/2 (*.f64 (PI.f64) f))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(*.f64 1/2 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)
(*.f64 1/2 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (*.f64 (PI.f64) f)) 2))
(fabs.f64 (*.f64 1/2 (*.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3)
(*.f64 1/2 (*.f64 (PI.f64) f))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))
(sqrt.f64 (pow.f64 (*.f64 1/2 (*.f64 (PI.f64) f)) 2))
(fabs.f64 (*.f64 1/2 (*.f64 (PI.f64) f)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) f) (PI.f64)))
(*.f64 (PI.f64) (*.f64 f (log.f64 (exp.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 1/2 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))
(*.f64 1/2 (*.f64 (PI.f64) f))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))
(*.f64 1/2 (*.f64 (PI.f64) f))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))
(*.f64 1/2 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1/2 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1/2 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))
(*.f64 1/2 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1/2 (*.f64 (PI.f64) f))

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.42%
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
0.44%
(*.f64 (PI.f64) f)
1.96%
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
7.64%
(-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
Compiler

Compiled 179 to 89 computations (50.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
0.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
0.0ms
f
@0
(-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
0.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
0.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))

rewrite154.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1478×associate-/l*
1138×associate-/r/
386×add-sqr-sqrt
376×*-un-lft-identity
374×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021229
1454229
25172229
Stop Event
node limit
Counts
3 → 243
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
Outputs
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simplify94.0ms (0.5%)

Algorithm
egg-herbie
Rules
298×*-commutative
190×+-commutative
142×associate-*l/
100×sqr-pow
100×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06713241
127753241
Stop Event
unsound
Counts
279 → 283
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)))))
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(log.f64 (/.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)))))))
(log.f64 (/.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 (/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) 3) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 3))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))) (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 2))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (*.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) (pow.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) -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)))))
(fma.f64 (*.f64 (PI.f64) -2) f (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 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))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -2) f (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 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 (*.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)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -2) f (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 1/192) (*.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 (*.f64 1/4 f) (PI.f64))) -2)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (-.f64 -2 (log.f64 (*.f64 (PI.f64) -2))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f))))
(+.f64 (-.f64 -2 (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 -2 (*.f64 (*.f64 (PI.f64) -2) (*.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2))) (neg.f64 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.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)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.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)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f)))))
(fma.f64 -2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) -2) (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2) -2)) (*.f64 (*.f64 (PI.f64) -2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) -2) (*.f64 (PI.f64) -2)) (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (*.f64 (PI.f64) -2) -2)) -2)))))) (+.f64 (-.f64 -2 (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 -2 (*.f64 (*.f64 (PI.f64) -2) (*.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2))) (neg.f64 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (*.f64 (-.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 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (pow.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)))))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.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 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.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)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.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)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f))))))
(fma.f64 1/6 (*.f64 (*.f64 f f) (fma.f64 -3/2 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) -2) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) -2) (*.f64 (PI.f64) -2)) (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (*.f64 (PI.f64) -2) -2)) -2))))) (fma.f64 1/4 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) -2) (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2) -2)) (*.f64 (*.f64 (*.f64 (PI.f64) -2) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -2) (*.f64 (PI.f64) -2)) -2) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2) (/.f64 (*.f64 (PI.f64) -2) (*.f64 (pow.f64 (PI.f64) -2) 1/192))))) -2)))) (fma.f64 -2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) -2) (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2) -2)) (*.f64 (*.f64 (PI.f64) -2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) -2) (*.f64 (PI.f64) -2)) (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (*.f64 (PI.f64) -2) -2)) -2)))))) (+.f64 (-.f64 -2 (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 -2 (*.f64 (*.f64 (PI.f64) -2) (*.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) -2))) (neg.f64 (log.f64 f))))))
(log.f64 (/.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)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)))
(log.f64 (/.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)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)))
(log.f64 (/.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)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)))
(log.f64 (/.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)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)))
(log.f64 (/.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)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)))
(log.f64 (/.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)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)))
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(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))
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(sqrt.f64 -2)
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(log1p.f64 -2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
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(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
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(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) 3) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 3))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))) (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))))
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(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(neg.f64 (sqrt.f64 -2))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(neg.f64 (sqrt.f64 -2))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
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(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 2))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)))) (*.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
-2
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
-2
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
-2
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 2)
-2
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3)
-2
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3) 1/3)
-2
(pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) -1)
-2
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (sqrt.f64 -2)) (sqrt.f64 -2))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
-2
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
-2
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
-2
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2))
(sqrt.f64 -2)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
-2
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
-2
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3))
-2
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) (pow.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3)))
-2
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
-2
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
-2
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
-2

eval640.0ms (3.2%)

Compiler

Compiled 39664 to 26214 computations (33.9% saved)

prune258.0ms (1.3%)

Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New97322995
Fresh161228
Picked011
Done246
Total991391030
Error
1.56%
Counts
1030 → 39
Alt Table
Click to see full alt table
StatusErrorProgram
3.72%
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
3.01%
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
4.92%
(*.f64 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (*.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))) (+.f64 (log.f64 (*.f64 1/2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))))))
3.91%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
70.91%
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
100%
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
2.95%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
69.02%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3))) (/.f64 -4 (PI.f64)))
95.48%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -4 (PI.f64)))
95.41%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.82%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.81%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
98.49%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
3.1%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (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 -4 (PI.f64)))
3.91%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
97%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
96.49%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
3.97%
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
3.86%
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (*.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
4.8%
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
4.78%
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) -1))
5.12%
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))) 2))
5.26%
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (PI.f64)))
4.81%
(*.f64 -4 (/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
4.78%
(*.f64 -4 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4))) (PI.f64)))
4.74%
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 f)) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 3 (log.f64 (cbrt.f64 (PI.f64)))))) (PI.f64)))
70.91%
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
3.79%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
5.97%
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))) (PI.f64)))
4.87%
(*.f64 -4 (+.f64 (*.f64 (/.f64 1 (PI.f64)) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))))
4.78%
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
5.97%
(*.f64 -4 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (PI.f64)) (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))))
4.84%
(*.f64 -4 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
4.8%
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))))
4.85%
(*.f64 -4 (log.f64 (pow.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))))
5.86%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
6.03%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
5.09%
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)) 3)))
5.09%
(*.f64 -4 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3) (pow.f64 (PI.f64) 3))))
Compiler

Compiled 1693 to 1303 computations (23% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.46%
(/.f64 (PI.f64) f)
0.57%
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
1.56%
(*.f64 (pow.f64 (PI.f64) 2) 1/12)
3.13%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 111 to 69 computations (37.8% saved)

series42.0ms (0.2%)

Counts
4 → 8
Calls

6 calls:

TimeVariablePointExpression
23.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
13.0ms
f
@-inf
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
6.0ms
f
@inf
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms
f
@-inf
(/.f64 (PI.f64) f)
0.0ms
f
@0
(/.f64 (PI.f64) f)

rewrite100.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
808×distribute-rgt-in
764×distribute-lft-in
552×associate-/r/
546×associate-/l/
364×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01764
136564
2473364
Stop Event
node limit
Counts
4 → 162
Calls
Call 1
Inputs
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) 1/12)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (PI.f64) f)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (*.f64 1 (log.f64 (/.f64 1 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (*.f64 1 (neg.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 4)) (log.f64 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 4)) (neg.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64))))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64))))) (*.f64 1 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 4) 1) (*.f64 (log.f64 (/.f64 1 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 4) 1) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) 1) (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) 1) (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 4) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 4)) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 -4)) (log.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 4) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 4) (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (log.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 4) 0) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 (PI.f64)) (log.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (*.f64 (log.f64 4) (log.f64 4)) (+.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)))) 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simplify89.0ms (0.4%)

Algorithm
egg-herbie
Rules
1734×associate-*r/
1416×associate-*l/
992×associate-+l+
836×associate-+r+
572×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04205206
110364628
240234620
Stop Event
node limit
Counts
170 → 215
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
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(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (PI.f64))) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (-.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (PI.f64))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (*.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 3) (pow.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (*.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) f))) 1)
(*.f64 (PI.f64) (/.f64 1 f))
(*.f64 (/.f64 (PI.f64) f) 1)
(*.f64 1 (/.f64 (PI.f64) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 f)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) f)) (sqrt.f64 (/.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 f)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) f)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) f) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) f) 2)) (cbrt.f64 (/.f64 (PI.f64) f)))
(*.f64 (/.f64 1 f) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (PI.f64) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (PI.f64) (cbrt.f64 f)))
(*.f64 (/.f64 1 (neg.f64 f)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) f) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (PI.f64) f)))
(*.f64 (/.f64 1 (/.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 f (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) f) (cbrt.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) f) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) f)) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (/.f64 f (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) f) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) f)))
(exp.f64 (log.f64 (/.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) f)))
Outputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 4) (log.f64 (neg.f64 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 4) (log.f64 (neg.f64 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 4) (log.f64 (neg.f64 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 4) (log.f64 (neg.f64 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 4) (*.f64 1 (log.f64 (/.f64 1 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 4) (*.f64 1 (neg.f64 (log.f64 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 4))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (+.f64 0 (log.f64 4)) (log.f64 (/.f64 1 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (+.f64 0 (log.f64 4)) (neg.f64 (log.f64 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (+.f64 0 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64))))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 1 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64))))) (*.f64 1 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64))))))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (log.f64 4) 1) (*.f64 (log.f64 (/.f64 1 (PI.f64))) 1))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (*.f64 (log.f64 4) 1) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) 1) (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) 1))
(+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) 1) (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) 1))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(log.f64 (/.f64 4 (PI.f64)))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(log.f64 (/.f64 4 (PI.f64)))
(-.f64 (+.f64 0 (log.f64 4)) (log.f64 (PI.f64)))
(log.f64 (/.f64 4 (PI.f64)))
(-.f64 (+.f64 0 (log.f64 -4)) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))) 1)
(log.f64 (/.f64 4 (PI.f64)))
(-.f64 (-.f64 (log.f64 4) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (sqrt.f64 (PI.f64))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (sqrt.f64 (PI.f64)))))
(-.f64 (log.f64 4) (*.f64 2 (log.f64 (sqrt.f64 (PI.f64)))))
(-.f64 (-.f64 (log.f64 4) (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (log.f64 (cbrt.f64 (PI.f64))))
(-.f64 (log.f64 4) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (PI.f64)))) (log.f64 (cbrt.f64 (PI.f64)))))
(-.f64 (log.f64 4) (*.f64 3 (log.f64 (cbrt.f64 (PI.f64)))))
(-.f64 (-.f64 (log.f64 4) 0) (log.f64 (PI.f64)))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 (PI.f64)) (log.f64 4)))
(/.f64 (*.f64 (+.f64 (log.f64 4) (log.f64 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (log.f64 4) (log.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 4) (log.f64 (PI.f64)))) (+.f64 (log.f64 4) (log.f64 (PI.f64))))
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(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (/.f64 4 (*.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 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
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(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (PI.f64))) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
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(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (PI.f64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (-.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (PI.f64))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (PI.f64)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (PI.f64))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (*.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
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(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 4) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 f) 2))))) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 3) (pow.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (*.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 3) (pow.f64 (*.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 4) (*.f64 (*.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))) (-.f64 (*.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (PI.f64)) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 3) (pow.f64 (*.f64 (log.f64 f) (log.f64 (/.f64 4 (/.f64 (PI.f64) f)))) 3))) (fma.f64 (*.f64 (log.f64 f) (log.f64 (/.f64 4 (/.f64 (PI.f64) f)))) (-.f64 (*.f64 (log.f64 f) (log.f64 (/.f64 4 (/.f64 (PI.f64) f)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 4)))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (PI.f64)) (fma.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (-.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 4))) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 3) (pow.f64 (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) 3)))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) f))) 1)
(/.f64 (PI.f64) f)
(*.f64 (PI.f64) (/.f64 1 f))
(/.f64 (PI.f64) f)
(*.f64 (/.f64 (PI.f64) f) 1)
(/.f64 (PI.f64) f)
(*.f64 1 (/.f64 (PI.f64) f))
(/.f64 (PI.f64) f)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 f)))
(/.f64 (PI.f64) f)
(*.f64 (sqrt.f64 (/.f64 (PI.f64) f)) (sqrt.f64 (/.f64 (PI.f64) f)))
(/.f64 (PI.f64) f)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 f)))
(/.f64 (PI.f64) f)
(*.f64 (cbrt.f64 (/.f64 (PI.f64) f)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) f) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) f) 2)) (cbrt.f64 (/.f64 (PI.f64) f)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) f)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) f) 2)))
(*.f64 (/.f64 1 f) (PI.f64))
(/.f64 (PI.f64) f)
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 f)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (PI.f64) (cbrt.f64 f)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 1 (neg.f64 f)) (neg.f64 (PI.f64)))
(/.f64 (PI.f64) f)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) f))
(/.f64 (PI.f64) f)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) f) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) f)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (PI.f64) (cbrt.f64 f)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) f))
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(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (PI.f64) (sqrt.f64 f)))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 f)) (sqrt.f64 f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (PI.f64) f)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) f)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (/.f64 1 (/.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) f)
(*.f64 (/.f64 1 (/.f64 f (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) f)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) f) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) f)
(pow.f64 (/.f64 (PI.f64) f) 1)
(/.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) f)) 2)
(/.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) f)) 3)
(/.f64 (PI.f64) f)
(pow.f64 (pow.f64 (/.f64 (PI.f64) f) 3) 1/3)
(/.f64 (PI.f64) f)
(pow.f64 (/.f64 f (PI.f64)) -1)
(/.f64 (PI.f64) f)
(neg.f64 (/.f64 (PI.f64) (neg.f64 f)))
(/.f64 (PI.f64) f)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) f) 2))
(fabs.f64 (/.f64 (PI.f64) f))
(log.f64 (exp.f64 (/.f64 (PI.f64) f)))
(/.f64 (PI.f64) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) f))))
(/.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) f) 3))
(/.f64 (PI.f64) f)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(/.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) f)))
(/.f64 (PI.f64) f)
(exp.f64 (log.f64 (/.f64 (PI.f64) f)))
(/.f64 (PI.f64) f)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) f)) 1))
(/.f64 (PI.f64) f)
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) f)))
(/.f64 (PI.f64) f)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(log.f64 (*.f64 (PI.f64) f))
0.44%
(*.f64 (PI.f64) f)
0.49%
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64))
Compiler

Compiled 32 to 9 computations (71.9% saved)

series138.0ms (0.7%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
119.0ms
f
@-inf
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64))
12.0ms
f
@0
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64))
6.0ms
f
@inf
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64))
0.0ms
f
@0
(log.f64 (*.f64 (PI.f64) f))
0.0ms
f
@-inf
(log.f64 (*.f64 (PI.f64) f))

rewrite68.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1884×add-sqr-sqrt
1872×*-un-lft-identity
1736×add-cube-cbrt
1710×add-cbrt-cube
206×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
120534
2274534
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (*.f64 (PI.f64) f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 (PI.f64) f) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (PI.f64)) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 f) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (log.f64 (cbrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 (PI.f64))) (*.f64 -1 (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 f) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (PI.f64)) -1) (*.f64 (log.f64 f) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (PI.f64))) (neg.f64 (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (log.f64 (PI.f64))) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (PI.f64) f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (neg.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (neg.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 f) (log.f64 f))) (-.f64 (log.f64 (PI.f64)) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2)) (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (-.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (PI.f64)) (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2) (*.f64 0 (log.f64 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (PI.f64) f) 1))))))

simplify73.0ms (0.4%)

Algorithm
egg-herbie
Rules
1394×associate-*r/
852×unswap-sqr
838×associate-/r*
722×fma-def
712×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922293
14462211
222312209
Stop Event
node limit
Counts
101 → 105
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))
(-.f64 0 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))) 1)
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -1 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 (/.f64 -1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))) -1)
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 2))
(log.f64 (pow.f64 (*.f64 (PI.f64) f) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+.f64 0 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (log.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(+.f64 (*.f64 -1 (log.f64 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 f) 1))
(+.f64 (*.f64 (log.f64 (PI.f64)) -1) (*.f64 (log.f64 f) -1))
(+.f64 (neg.f64 (log.f64 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) f)))) 1)
(-.f64 (-.f64 0 (log.f64 (PI.f64))) (log.f64 f))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) 1)
(*.f64 (log.f64 (*.f64 (PI.f64) f)) -1)
(*.f64 1 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (neg.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (neg.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f)))))
(*.f64 -1 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(/.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 f) (log.f64 f))) (-.f64 (log.f64 (PI.f64)) (log.f64 f)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2)) (log.f64 (*.f64 (PI.f64) f)))
(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (-.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (PI.f64)) (log.f64 f)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2) (*.f64 0 (log.f64 (*.f64 (PI.f64) f))))))
(pow.f64 (log.f64 (*.f64 (PI.f64) f)) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3) 1/3)
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) f))) 1))
(log1p.f64 (-.f64 (*.f64 (PI.f64) f) 1))
Outputs
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 (neg.f64 (PI.f64))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 (neg.f64 (PI.f64))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 (neg.f64 (PI.f64))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 (neg.f64 (PI.f64))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
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(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(log.f64 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(log.f64 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))
(log.f64 (*.f64 (PI.f64) f))
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(-.f64 0 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))) 1)
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 1 (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 1)
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 1 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 -1 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
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(*.f64 (/.f64 1 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (sqrt.f64 (PI.f64))) (/.f64 -1 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))) (/.f64 -1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
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(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 2)
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) 3)
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3) 1/3)
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))) -1)
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(log.f64 (pow.f64 (*.f64 (PI.f64) f) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
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(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
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(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
(+.f64 (log.f64 (PI.f64)) (log.f64 f))
(log.f64 (*.f64 (PI.f64) f))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(log.f64 (*.f64 (PI.f64) f))
(+.f64 0 (log.f64 (*.f64 (PI.f64) f)))
(log.f64 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (log.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(*.f64 3 (log.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(+.f64 (*.f64 -1 (log.f64 (PI.f64))) (*.f64 -1 (log.f64 f)))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 f) 1))
(log.f64 (*.f64 (PI.f64) f))
(+.f64 (*.f64 (log.f64 (PI.f64)) -1) (*.f64 (log.f64 f) -1))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (neg.f64 (log.f64 (PI.f64))) (neg.f64 (log.f64 f)))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) f)))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) f)))) 1)
(log.f64 (*.f64 (PI.f64) f))
(-.f64 (-.f64 0 (log.f64 (PI.f64))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) 1)
(log.f64 (*.f64 (PI.f64) f))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) -1)
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 1 (log.f64 (*.f64 (PI.f64) f)))
(log.f64 (*.f64 (PI.f64) f))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(log.f64 (*.f64 (PI.f64) f))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) (neg.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2))
(log.f64 (*.f64 (PI.f64) f))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(log.f64 (*.f64 (PI.f64) f))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (neg.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 -1 (log.f64 (*.f64 (PI.f64) f)))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))
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(*.f64 (neg.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))
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(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)) (*.f64 (log.f64 f) (-.f64 (log.f64 f) (log.f64 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 f) (*.f64 (log.f64 (PI.f64)) (-.f64 (log.f64 (PI.f64)) (log.f64 f)))))
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(log.f64 (*.f64 (PI.f64) f))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)
(log.f64 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 3)
(log.f64 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3) 1/3)
(log.f64 (*.f64 (PI.f64) f))
(neg.f64 (log.f64 (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2))
(log.f64 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3))
(log.f64 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) f))))
(log.f64 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) f))))
(log.f64 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) f))) 1))
(log.f64 (*.f64 (PI.f64) f))
(log1p.f64 (-.f64 (*.f64 (PI.f64) f) 1))
(log1p.f64 (fma.f64 (PI.f64) f -1))

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
0.47%
(/.f64 (log.f64 f) (PI.f64))
0.54%
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))
3.13%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 84 to 50 computations (40.5% saved)

series9.0ms (0%)

Counts
3 → 25
Calls

9 calls:

TimeVariablePointExpression
6.0ms
f
@inf
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))
1.0ms
f
@0
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))
1.0ms
f
@-inf
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))
0.0ms
f
@inf
(+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
0.0ms
f
@0
(+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))

rewrite160.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1616×associate-/l*
688×associate-/r/
392×add-sqr-sqrt
380×pow1
380×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018107
139291
2538991
Stop Event
node limit
Counts
3 → 241
Calls
Call 1
Inputs
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))
(/.f64 (log.f64 f) (PI.f64))
(+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
Outputs
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simplify147.0ms (0.7%)

Algorithm
egg-herbie
Rules
906×associate-*r*
728×associate-*l*
666×associate-/l*
594×*-commutative
498×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059318624
1174016940
Stop Event
node limit
Counts
266 → 377
Calls
Call 1
Inputs
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(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 -1/4 f (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
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Outputs
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(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(exp.f64 (log.f64 (fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))) 1))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 -1/4 f (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 f -1/4))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 1 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (*.f64 f -1/4))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 f -1/4)) (sqrt.f64 (*.f64 f -1/4)) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (*.f64 f -1/4))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 f f) 1/16)) (cbrt.f64 (*.f64 f -1/4)) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 f f) 1/16)) (cbrt.f64 (*.f64 f -1/4)) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.44%
(*.f64 (PI.f64) (*.f64 -1/4 f))
0.56%
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))
1.6%
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))))
3.13%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 111 to 71 computations (36% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
f
@0
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))))
0.0ms
f
@-inf
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))))
0.0ms
f
@inf
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))))
0.0ms
f
@0
(*.f64 (PI.f64) (*.f64 -1/4 f))
0.0ms
f
@-inf
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))

rewrite119.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1280×associate-/r*
938×associate-/l*
378×add-sqr-sqrt
374×associate-+l+
368×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018117
1388117
24930117
Stop Event
node limit
Counts
3 → 180
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))
(*.f64 (PI.f64) (*.f64 -1/4 f))
Outputs
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simplify202.0ms (1%)

Algorithm
egg-herbie
Rules
1340×associate-+l+
1332×associate-+r+
492×associate-/l/
430×associate-/l*
410×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039815170
1100614810
2451314758
Stop Event
node limit
Counts
216 → 238
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
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(-.f64 (+.f64 (*.f64 -1/4 f) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (+.f64 (*.f64 -1/4 f) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 -1/4 f)
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1/4 f)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1/4 f)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
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(*.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)) 1)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))) -1)
(neg.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
Outputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (+.f64 (*.f64 -1/4 f) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (+.f64 (*.f64 -1/4 f) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (+.f64 (*.f64 -1/4 f) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
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(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -1/4 f)
(*.f64 f -1/4)
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(+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(fma.f64 f -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -1/4 f)
(*.f64 f -1/4)
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(*.f64 f -1/4)
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(*.f64 -1/4 f)
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(*.f64 -1/4 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f -1/4))
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(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 f (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 f (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 f (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 f (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))) 1))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 f (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 f (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))) 1)
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 1)
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) 2)
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) 3)
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 3) 1/3)
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 2))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) 2))
(fabs.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(fabs.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(*.f64 (PI.f64) (log.f64 (pow.f64 (exp.f64 -1/4) f)))
(*.f64 (PI.f64) (*.f64 f (log.f64 (exp.f64 -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)))))
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) 3))
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))) 1))
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 -1/4 f))))
(*.f64 (PI.f64) (*.f64 f -1/4))
(*.f64 -1/4 (*.f64 (PI.f64) f))

localize87.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.44%
(*.f64 (PI.f64) (*.f64 -1/4 f))
0.55%
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))
1.56%
(sqrt.f64 (PI.f64))
3.13%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 111 to 67 computations (39.6% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

3 calls:

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

rewrite84.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1504×associate-/r*
1016×associate-/l*
380×add-sqr-sqrt
368×associate-+l+
368×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
137162
2499462
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(sqrt.f64 (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/4 f))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2) (PI.f64))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f))) (/.f64 -1 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 1) (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)) 1))))))

simplify60.0ms (0.3%)

Algorithm
egg-herbie
Rules
1616×associate-/r*
944×associate-/l*
776×associate-*r/
718×unswap-sqr
550×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01733101
14022951
216162949
Stop Event
node limit
Counts
69 → 91
Calls
Call 1
Inputs
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))))) 1)
(-.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) (*.f64 -1/4 f))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))))
(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (pow.f64 (PI.f64) -1/2))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 1)
(*.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (pow.f64 (PI.f64) -1/2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2) (PI.f64))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (pow.f64 (PI.f64) -1/2)))
(*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f))) (/.f64 -1 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (pow.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 1) (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) (pow.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) -1)
(neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (neg.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2) (PI.f64)))
(log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)) 1)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)) 1))
Outputs
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
(*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64))))
(*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
(*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64))))
(*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/4 (*.f64 f (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (*.f64 f (*.f64 (sqrt.f64 (PI.f64)) -1/4)))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f -1/4)))
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(neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64))))) (log.f64 f)) (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 2) (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f))) 2) (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 2) (PI.f64)))
(log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)))
(*.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f))))
(*.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 (/.f64 (/.f64 4 (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)) 1)))
(*.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f))))
(*.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 (/.f64 (/.f64 4 (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64))) 3))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f))) (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (sqrt.f64 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3) (pow.f64 (PI.f64) 3/2)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f))) (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (sqrt.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f))) (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f))) (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))) 1))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (log.f64 f))) (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (sqrt.f64 (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f)) (pow.f64 (PI.f64) -1/2)) 1))
(*.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) f))))
(*.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 (/.f64 (/.f64 4 (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))

eval731.0ms (3.7%)

Compiler

Compiled 40387 to 25886 computations (35.9% saved)

prune424.0ms (2.1%)

Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New1258151273
Fresh141529
Picked101
Done549
Total1278341312
Error
1.55%
Counts
1312 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
3.04%
(fma.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
3.72%
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
2.98%
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
4.14%
(fma.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
4.37%
(fma.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
3.41%
(fma.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
3.91%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
70.91%
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
2.95%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
95.48%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -4 (PI.f64)))
95.41%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.82%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
95.81%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
98.49%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
3.91%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
97%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
96.49%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
3.97%
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
3.86%
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (*.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
4.8%
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
4.78%
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) -1))
4.78%
(*.f64 -4 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4))) (PI.f64)))
3.79%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
98.36%
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
5.97%
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))) (PI.f64)))
3.87%
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
4.73%
(*.f64 -4 (+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
4.77%
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (/.f64 (*.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (pow.f64 (PI.f64) 2))))
4.85%
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)))))
4.86%
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))))
4.66%
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))))))
4.84%
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (log.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 f (/.f64 1 (PI.f64)))))))
3.87%
(*.f64 -4 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))))))
97.76%
(*.f64 -4 (*.f64 f -1/4))
Compiler

Compiled 756 to 582 computations (23% saved)

regimes164.0ms (0.8%)

Counts
83 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -4 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4))) (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) -1))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (log.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 f (/.f64 1 (PI.f64)))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (/.f64 (*.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (pow.f64 (PI.f64) 2))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 f)) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 3 (log.f64 (cbrt.f64 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)))))
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (*.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (+.f64 (*.f64 (/.f64 1 (PI.f64)) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
(*.f64 -4 (log.f64 (pow.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))))
(*.f64 -4 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)) 3)))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))) 2))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(log.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)) (/.f64 -4 (PI.f64))) 0))
(*.f64 -4 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3) (pow.f64 (PI.f64) 3))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(fma.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(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 (log.f64 (+.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 -4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (PI.f64)) (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (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 -4 (PI.f64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 3)
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.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 -4 (PI.f64)))
(*.f64 (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (*.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (*.f64 (PI.f64) f)))) (+.f64 (log.f64 (*.f64 1/2 (*.f64 (PI.f64) f))) (log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))))))
(*.f64 (log.f64 (+.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 -4 (PI.f64)))
Outputs
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.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 -4 (PI.f64)))
Calls

6 calls:

40.0ms
f
39.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
10.0ms
(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))))))
10.0ms
(*.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)))))))
10.0ms
(/.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
2.94%1f
2.94%1(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))))))))
2.94%1(*.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)))))))
2.94%1(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))))))
2.94%1(/.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)))))
2.94%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 2206 to 1523 computations (31% saved)

regimes151.0ms (0.8%)

Counts
79 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
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(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))))))))
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(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 3)
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
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Outputs
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
Calls

6 calls:

35.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
34.0ms
f
11.0ms
(*.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)))))))
10.0ms
(/.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)))))
10.0ms
(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))))))
Results
ErrorSegmentsBranch
2.95%1f
2.95%1(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))))))))
2.95%1(*.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)))))))
2.95%1(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))))))
2.95%1(/.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)))))
2.95%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1976 to 1352 computations (31.6% saved)

regimes157.0ms (0.8%)

Counts
77 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -4 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4))) (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) -1))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (log.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 f (/.f64 1 (PI.f64)))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (/.f64 (*.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (pow.f64 (PI.f64) 2))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 f)) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 3 (log.f64 (cbrt.f64 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)))))
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (*.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (+.f64 (*.f64 (/.f64 1 (PI.f64)) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
(*.f64 -4 (log.f64 (pow.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))))
(*.f64 -4 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)) 3)))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))) 2))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(log.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f)) (/.f64 -4 (PI.f64))) 0))
(*.f64 -4 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) 3) (pow.f64 (PI.f64) 3))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (sqrt.f64 (PI.f64)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) -1))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(fma.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(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 (log.f64 (+.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 -4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (PI.f64)) (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (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 -4 (PI.f64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64)))) 3))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))) 3)
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 3)))
Outputs
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
Calls

6 calls:

34.0ms
f
34.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
10.0ms
(*.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)))))))
9.0ms
(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))))))
8.0ms
(/.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
2.98%1f
2.98%1(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))))))))
2.98%1(*.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)))))))
2.98%1(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))))))
2.98%1(/.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)))))
2.98%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1899 to 1297 computations (31.7% saved)

regimes35.0ms (0.2%)

Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -4 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4))) (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) -1))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (log.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 f (/.f64 1 (PI.f64)))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (/.f64 (*.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (pow.f64 (PI.f64) 2))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 f)) (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 3 (log.f64 (cbrt.f64 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)))))
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (*.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2) (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (+.f64 (*.f64 (/.f64 1 (PI.f64)) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)) f))))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)))))
(*.f64 -4 (log.f64 (pow.f64 (*.f64 4 (/.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))))
(*.f64 -4 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64)) 3)))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f))) (PI.f64))) 2))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
Outputs
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
Calls

1 calls:

20.0ms
f
Results
ErrorSegmentsBranch
3.72%1f
Compiler

Compiled 666 to 460 computations (30.9% saved)

regimes18.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 -2 (*.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (+.f64 (*.f64 f -1/4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 -4 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/4))) (PI.f64)))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (PI.f64) (*.f64 -1/4 f)) (log.f64 f)))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
(*.f64 -4 (+.f64 (*.f64 -1/4 f) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))))
Outputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
Calls

1 calls:

9.0ms
f
Results
ErrorSegmentsBranch
3.79%1f
Compiler

Compiled 228 to 152 computations (33.3% saved)

regimes6.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
Outputs
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
Calls

1 calls:

4.0ms
f
Results
ErrorSegmentsBranch
70.91%1f
Compiler

Compiled 40 to 24 computations (40% saved)

regimes6.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
Calls

1 calls:

5.0ms
f
Results
ErrorSegmentsBranch
70.91%1f
Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes5.0ms (0%)

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 f -1/4))
(*.f64 (log1p.f64 -1) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
Outputs
(*.f64 -4 (*.f64 f -1/4))
Calls

1 calls:

3.0ms
f
Results
ErrorSegmentsBranch
97.76%1f
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
114×*-commutative
64×+-commutative
46×neg-mul-1
46×neg-sub0
38×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093584
1146584
2180576
3214576
4248576
5281576
6303576
7316576
8322576
9323576
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.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 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (*.f64 f -1/4))
Outputs
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.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 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) -1/4))) (+.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 f (+.f64 (*.f64 (PI.f64) 1/4) (*.f64 (PI.f64) 1/4))) (*.f64 (pow.f64 f 3) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) -1/4))) (+.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 f (+.f64 (*.f64 (PI.f64) 1/4) (*.f64 (PI.f64) 1/4))) (*.f64 (pow.f64 f 3) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) (*.f64 (pow.f64 (PI.f64) 3) -1/384))))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) -1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 -2 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (/.f64 f (/.f64 (PI.f64) f)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/8 (*.f64 f f))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 -4 (*.f64 f -1/4))
Compiler

Compiled 184 to 141 computations (23.4% saved)

soundness180.0ms (0.9%)

Algorithm
egg-herbie
Rules
1356×associate-+r+
1096×fma-def
1034×associate-+l+
856×+-commutative
650×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020127
152121
2130117
3326109
41011109
52615109
65937109
Stop Event
node limit
Compiler

Compiled 112 to 86 computations (23.2% saved)

end101.0ms (0.5%)

Compiler

Compiled 177 to 122 computations (31.1% saved)

Profiling

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