VandenBroeck and Keller, Equation (20)

Time bar (total: 28.2s)

analyze424.0ms (1.5%)

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
25%25%75%0%0%0%0%3
25%25%75%0%0%0%0%4
25%25%75%0%0%0%0%5
29%28.1%68.7%0%0%3.1%0%6
29%28.1%68.7%0%0%3.1%0%7
29%28.1%68.7%0%0%3.1%0%8
29.1%28.1%68.3%0%0%3.5%0%9
29.2%28.1%68.1%0%0%3.7%0%10
29.2%28.1%68%0%0%3.8%0%11
29.2%28.1%68%0%0%3.8%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample16.9s (59.8%)

Results
8.0s7815×body8192exit
2.4s4058×body1024valid
2.2s3963×body1024invalid
1.5s7630×body256unsamplable
872.0ms2035×body512valid
723.0ms2048×body512invalid
549.0ms505×body2048valid
436.0ms1658×body256valid
193.0ms1035×body256invalid
1.0msbody2048invalid
Bogosity

preprocess54.0ms (0.2%)

Algorithm
egg-herbie
Rules
1436×times-frac
1336×fma-def
954×associate-/r*
602×associate-*r/
586×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031270
191242
2240218
3720218
42345218
Stop Event
node limit
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))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify60.0ms (0.2%)

Algorithm
egg-herbie
Rules
1520×fma-def
1062×fma-neg
734×div-sub
486×associate-/r*
428×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020127
152121
2127117
3334109
4987109
52558109
66093109
Stop Event
node limit
Counts
1 → 7
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 (/.f64 1 (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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.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 240 to 170 computations (29.2% saved)

prune6.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New437
Fresh011
Picked000
Done000
Total448
Accurracy
5.6%
Counts
8 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
5.6%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
5.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
5.5%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
5.6%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
5.6%
(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))))))))
Compiler

Compiled 208 to 156 computations (25% saved)

localize2.7s (9.7%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
99.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
98.6%
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))))
97.3%
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
11.2%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
98.8%
(/.f64 (PI.f64) (/.f64 -4 f))
98.6%
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))))
97.3%
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))
11.2%
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
99.3%
(*.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)))))))
98.6%
(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))))))
97.3%
(/.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)))))
11.2%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 488 to 327 computations (33% saved)

series220.0ms (0.8%)

Counts
12 → 144
Calls

36 calls:

TimeVariablePointExpression
53.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
39.0ms
f
@inf
(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))))))
36.0ms
f
@-inf
(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))))))
24.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))))
20.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))))

rewrite181.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
846×add-sqr-sqrt
832×pow1
830×*-un-lft-identity
800×add-exp-log
794×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040794
1902704
Stop Event
node limit
Counts
12 → 210
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.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)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))))
(/.f64 (PI.f64) (/.f64 -4 f))
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Outputs
(+.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(+.f64 (fma.f64 1 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (neg.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1))) (fma.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)))
(+.f64 (fma.f64 1 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (neg.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1))) (fma.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (sqrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (neg.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1))) (fma.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (sqrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (/.f64 (*.f64 (PI.f64) 1/4) 2)) (pow.f64 (exp.f64 f) (/.f64 (*.f64 (PI.f64) 1/4) 2)) (neg.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1))) (fma.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (/.f64 (*.f64 (PI.f64) 1/4) 2)) (pow.f64 (exp.f64 f) (/.f64 (*.f64 (PI.f64) 1/4) 2)) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (/.f64 f 2)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (/.f64 f 2)) (neg.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1))) (fma.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (/.f64 f 2)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (/.f64 f 2)) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))))))
(*.f64 1 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (sqrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 3) (pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 3)) (fma.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (*.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))
(pow.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(log.f64 (/.f64 (exp.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(fma.f64 1 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (sqrt.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(fma.f64 (pow.f64 (exp.f64 f) (/.f64 (*.f64 (PI.f64) 1/4) 2)) (pow.f64 (exp.f64 f) (/.f64 (*.f64 (PI.f64) 1/4) 2)) (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(fma.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (/.f64 f 2)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (/.f64 f 2)) (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) 1)
(*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (/.f64 1 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(*.f64 1 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(*.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(pow.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1)
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(exp.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(+.f64 0 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (/.f64 1 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (log.f64 (neg.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) 1)
(*.f64 1 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(pow.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) 1)
(cbrt.f64 (*.f64 (*.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(exp.f64 (log.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)) (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4))) (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 1)
(*.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(*.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (/.f64 1 (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(+.f64 0 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (log.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) 1)
(*.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (PI.f64))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))

simplify668.0ms (2.4%)

Algorithm
egg-herbie
Rules
766×associate-*r*
712×associate-*l*
690×fma-neg
642×log-prod
564×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067231220
1162325568
2681125560
Stop Event
node limit
Counts
354 → 394
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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
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(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (PI.f64))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 1/2 f))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (PI.f64) (*.f64 1/2 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) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (PI.f64) (*.f64 1/2 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) 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)))))
(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 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 f) (/.f64 (PI.f64) -4)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (*.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)))))
(+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0)
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.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 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) 1/2)) 0) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.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 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)))) (*.f64 f (*.f64 f 0)))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
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(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 1)
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (*.f64 (/.f64 -4 (PI.f64)) (/.f64 -4 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))

eval437.0ms (1.5%)

Compiler

Compiled 20130 to 14070 computations (30.1% saved)

prune151.0ms (0.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New39422416
Fresh000
Picked303
Done000
Total39722419
Accurracy
98.9%
Counts
419 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
95.4%
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
5.4%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) 1)))
97.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (*.f64 (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
98.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))))
5.5%
(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 (pow.f64 (exp.f64 f) (*.f64 2 (/.f64 (PI.f64) 8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))))
95.5%
(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 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))))
94.9%
(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 (*.f64 (PI.f64) 1/2) f)))))
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 2 (sinh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
97.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
97.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3))))
98.4%
(neg.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))))
97.1%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))))
97.3%
(neg.f64 (exp.f64 (log.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))))
97.8%
(neg.f64 (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))) 3)))
95.2%
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
95.4%
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
5.4%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) 1)))
97.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (*.f64 (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
98.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))))
5.5%
(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 (pow.f64 (exp.f64 f) (*.f64 2 (/.f64 (PI.f64) 8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))))
95.5%
(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 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))))
94.9%
(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 (*.f64 (PI.f64) 1/2) f)))))
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 2 (sinh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
97.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
97.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3))))
98.4%
(neg.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))))
97.1%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))))
97.3%
(neg.f64 (exp.f64 (log.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))))
97.8%
(neg.f64 (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))) 3)))
Compiler

Compiled 2144 to 1784 computations (16.8% saved)

localize1.1s (3.8%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (PI.f64) f)
99.3%
(*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
98.9%
(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
99.6%
(*.f64 (PI.f64) f)
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
98.9%
(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
98.4%
(expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
99.4%
(sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))))
98.9%
(log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
98.8%
(/.f64 (PI.f64) (/.f64 4 f))
99.6%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.6%
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
99.5%
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
99.2%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
100.0%
(tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
99.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))
98.9%
(log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
Compiler

Compiled 463 to 331 computations (28.5% saved)

series227.0ms (0.8%)

Counts
20 → 228
Calls

60 calls:

TimeVariablePointExpression
71.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
25.0ms
f
@inf
(log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
24.0ms
f
@-inf
(log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
24.0ms
f
@-inf
(log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
22.0ms
f
@inf
(log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))

rewrite169.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
720×add-sqr-sqrt
706×pow1
702×*-un-lft-identity
678×add-exp-log
674×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043492
1956480
Stop Event
node limit
Counts
20 → 618
Calls
Call 1
Inputs
(log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))
(*.f64 (/.f64 (PI.f64) 4) f)
(tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(/.f64 (PI.f64) (/.f64 4 f))
(log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))))
(sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))
(expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
(*.f64 (PI.f64) f)
(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
(*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(*.f64 (PI.f64) f)
Outputs
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(+.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(-.f64 0 (log.f64 (/.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)))
(-.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1)
(-.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 2) (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)))
(-.f64 (/.f64 0 (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))) (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))
(-.f64 (/.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 1 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 -1 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(/.f64 (neg.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3))) (neg.f64 (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))
(/.f64 (neg.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2)
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (/.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)))
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2))
(fabs.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) 2))
(log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)))) 1)
(-.f64 (/.f64 0 (neg.f64 (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (neg.f64 (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (*.f64 (PI.f64) 1/4))))
(-.f64 (/.f64 0 (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) (*.f64 4 (/.f64 1 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 4 (/.f64 1 (PI.f64))))
(*.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)))
(*.f64 (*.f64 4 (/.f64 1 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))))
(*.f64 8 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -1/2) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (*.f64 4 (/.f64 1 (PI.f64))) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 (*.f64 (*.f64 4 (/.f64 1 (PI.f64))) 2) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4) (/.f64 2 (PI.f64)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64)) 8)
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 2 (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 2 (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1) (/.f64 2 (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (/.f64 2 (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
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(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) 2))
(log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(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)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 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)))

simplify282.0ms (1%)

Algorithm
egg-herbie
Rules
1222×associate-*l*
1046×times-frac
748×fma-def
574×distribute-lft-in
570×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093936086
1243632832
Stop Event
node limit
Counts
846 → 571
Calls
Call 1
Inputs
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
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(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
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(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(/.f64 -1 (neg.f64 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (*.f64 (*.f64 (PI.f64) 1/4) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (*.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) (*.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4) (PI.f64))
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) 1) (*.f64 (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) 1) (*.f64 (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) -1) (*.f64 (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) 1) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) 1) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) -1) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4)) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)) 2))
(log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 4 (/.f64 1 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4 (/.f64 1 (PI.f64))) 3) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (*.f64 4 (/.f64 1 (PI.f64))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(+.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(-.f64 0 (log.f64 (/.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)))
(-.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1)
(-.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 2) (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)))
(-.f64 (/.f64 0 (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))) (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))
(-.f64 (/.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(/.f64 (neg.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3))) (neg.f64 (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) (*.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))
(/.f64 (neg.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2)
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (/.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)))
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2))
(fabs.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log.f64 (+.f64 1 (-.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) 2))
(log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(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)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 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 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (*.f64 f (*.f64 1/4 (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(fma.f64 2 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (PI.f64)) (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
(fma.f64 2 (/.f64 (*.f64 f 0) (PI.f64)) (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (fma.f64 2 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (PI.f64)) (log.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))
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(log.f64 (+.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) 0))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 f (PI.f64))
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 f (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 f (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 f (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 f (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(sqrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))
(fabs.f64 (*.f64 f (PI.f64)))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(*.f64 f (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 f (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))

eval389.0ms (1.4%)

Compiler

Compiled 18172 to 14481 computations (20.3% saved)

prune199.0ms (0.7%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New58225607
Fresh13417
Picked505
Done000
Total60029629
Accurracy
99.0%
Counts
629 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
5.4%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
94.5%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) 2))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) 3))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) 1/4))))
94.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
93.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3) 1/3)))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
98.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) -1/2)))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))
95.5%
(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 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3))))
95.4%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
98.4%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
97.0%
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (*.f64 1/4 (PI.f64)))))
8.0%
(neg.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)) (*.f64 1/4 (PI.f64)))))
96.0%
(neg.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) 1/4) f))) (+.f64 (pow.f64 (exp.f64 2) (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))) (*.f64 1/4 (PI.f64)))))
97.9%
(neg.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (*.f64 1/4 (PI.f64)))))
98.3%
(neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))))
78.5%
(neg.f64 (neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 4 (/.f64 1 (PI.f64)))))))
72.7%
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64))))))
95.1%
(neg.f64 (fabs.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
93.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
94.4%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 3)))
95.2%
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
5.4%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
94.5%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) 2))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) 3))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) 1/4))))
94.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
93.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3) 1/3)))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
98.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) -1/2)))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))
95.5%
(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 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3))))
95.4%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
98.4%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
97.0%
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (*.f64 1/4 (PI.f64)))))
8.0%
(neg.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)) (*.f64 1/4 (PI.f64)))))
96.0%
(neg.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) 1/4) f))) (+.f64 (pow.f64 (exp.f64 2) (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))) (*.f64 1/4 (PI.f64)))))
97.9%
(neg.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (*.f64 1/4 (PI.f64)))))
98.3%
(neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))))
78.5%
(neg.f64 (neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 4 (/.f64 1 (PI.f64)))))))
72.7%
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64))))))
95.1%
(neg.f64 (fabs.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
93.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
94.4%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 3)))
Compiler

Compiled 2200 to 1876 computations (14.7% saved)

localize536.0ms (1.9%)

Local Accuracy

Found 19 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 f (*.f64 1/4 (PI.f64)))
99.5%
(/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (*.f64 1/4 (PI.f64)))
98.9%
(log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
98.6%
(-.f64 (/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))
99.5%
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
99.4%
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
99.2%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 3))
98.9%
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 3)
99.6%
(*.f64 (PI.f64) (*.f64 1/2 f))
99.5%
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
92.1%
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64))))
77.3%
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64)))))
100.0%
(log.f64 (*.f64 f (*.f64 1/4 (PI.f64))))
99.6%
(*.f64 f (*.f64 1/4 (PI.f64)))
99.4%
(/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))
100.0%
(tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))
99.6%
(*.f64 f (*.f64 1/4 (PI.f64)))
99.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))
98.9%
(log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
Compiler

Compiled 371 to 271 computations (27% saved)

series109.0ms (0.4%)

Counts
19 → 228
Calls

57 calls:

TimeVariablePointExpression
21.0ms
f
@-inf
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64)))))
18.0ms
f
@inf
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64)))))
16.0ms
f
@0
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64)))))
15.0ms
f
@-inf
(/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))
15.0ms
f
@0
(/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))

rewrite150.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
716×add-sqr-sqrt
696×pow1
692×*-un-lft-identity
680×add-exp-log
672×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035541
1787533
Stop Event
node limit
Counts
19 → 418
Calls
Call 1
Inputs
(log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))
(/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(log.f64 (*.f64 f (*.f64 1/4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(*.f64 (PI.f64) (*.f64 1/2 f))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 3))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(-.f64 (/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
(/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (*.f64 1/4 (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
Outputs
(+.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(-.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1)
(-.f64 (log.f64 (expm1.f64 (*.f64 2 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (+.f64 (pow.f64 (exp.f64 2) (*.f64 (*.f64 f 1/4) (PI.f64))) 1)))
(-.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 f 1/4) (PI.f64))))))
(*.f64 1 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 1))
(log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))))) 1)
(*.f64 1 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))))
(*.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (/.f64 1 (*.f64 1/4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2) (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2)
(pow.f64 (/.f64 (*.f64 1/4 (PI.f64)) (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 2))
(log.f64 (pow.f64 (*.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (E.f64)) (/.f64 1 (*.f64 1/4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(exp.f64 (-.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (*.f64 1/4 (PI.f64)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (*.f64 1/4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1)
(pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (*.f64 1/64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (*.f64 1/64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))

simplify219.0ms (0.8%)

Algorithm
egg-herbie
Rules
1158×associate-*r*
1038×times-frac
816×fma-def
532×sqr-pow
464×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092027142
1247924138
Stop Event
node limit
Counts
646 → 513
Calls
Call 1
Inputs
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
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(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64))) 2)
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(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1/4) 4) (PI.f64))))
(fma.f64 1 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) (neg.f64 (/.f64 4 (PI.f64))))
(fma.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (/.f64 1 (*.f64 1/4 (PI.f64))) (neg.f64 (/.f64 4 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2) (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (/.f64 4 (PI.f64))))
(+.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(-.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) 1)
(-.f64 (log.f64 (expm1.f64 (*.f64 2 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (+.f64 (pow.f64 (exp.f64 2) (*.f64 (*.f64 f 1/4) (PI.f64))) 1)))
(-.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (*.f64 f 1/4) (PI.f64))))))
(*.f64 1 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 1))
(log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))))) 1)
(*.f64 1 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))))
(*.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (/.f64 1 (*.f64 1/4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2) (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2)
(pow.f64 (/.f64 (*.f64 1/4 (PI.f64)) (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 2))
(log.f64 (pow.f64 (*.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (E.f64)) (/.f64 1 (*.f64 1/4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(exp.f64 (-.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (*.f64 1/4 (PI.f64)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (log.f64 (*.f64 1/4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1)
(pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (*.f64 1/64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (*.f64 1/64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
Outputs
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(fma.f64 2 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 0 (/.f64 f (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (fma.f64 2 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(+.f64 (fma.f64 (*.f64 1/2 (*.f64 f f)) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2))) (*.f64 0 (/.f64 f (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -48 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))))))) (log.f64 (*.f64 1/4 (PI.f64)))))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (fma.f64 2 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (PI.f64)) (+.f64 (log.f64 f) (fma.f64 1/6 (*.f64 (pow.f64 f 3) (fma.f64 -48 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 24 (/.f64 (-.f64 (*.f64 1/2 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))))) (fma.f64 -1/8 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))))) (PI.f64)) (*.f64 16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)))))) (log.f64 (*.f64 1/4 (PI.f64)))))))
(+.f64 (fma.f64 (*.f64 1/2 (*.f64 f f)) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2))) (*.f64 0 (/.f64 f (PI.f64)))) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 f 3)) (fma.f64 24 (/.f64 (fma.f64 1/2 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 4) -1/32) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) -1/3072) (*.f64 (*.f64 (PI.f64) -1/4) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))) (neg.f64 (fma.f64 (*.f64 -1/8 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (PI.f64) 0))) (PI.f64)) (+.f64 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (/.f64 (pow.f64 (PI.f64) 2) 0)) (/.f64 0 (pow.f64 (PI.f64) 3))))) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
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(*.f64 (PI.f64) (*.f64 f 1/4))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(exp.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1))
(*.f64 (PI.f64) (*.f64 f 1/4))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))
(*.f64 (PI.f64) (*.f64 f 1/4))

eval382.0ms (1.4%)

Compiler

Compiled 19111 to 15230 computations (20.3% saved)

prune170.0ms (0.6%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New66020680
Fresh18624
Picked325
Done000
Total68128709
Accurracy
99.0%
Counts
709 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))) 3))
95.0%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 1/4))
95.4%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) 1/4))))
94.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
94.0%
(neg.f64 (*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64))))
97.0%
(neg.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))) (PI.f64))))
8.0%
(neg.f64 (*.f64 -4 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1)) (PI.f64))))
29.8%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3) 1/3)) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
98.4%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
94.9%
(neg.f64 (*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)) (PI.f64))))
97.9%
(neg.f64 (*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3)) (PI.f64))))
95.2%
(neg.f64 (*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
95.3%
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))))
98.3%
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))))
0.6%
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (/.f64 4 (PI.f64))))))
0.6%
(neg.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2) (/.f64 4 (PI.f64)))))
95.2%
(neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))))
0.6%
(neg.f64 (neg.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))))))
78.5%
(neg.f64 (neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 4 (/.f64 1 (PI.f64)))))))
95.1%
(neg.f64 (fabs.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))))
93.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))) 3))
95.0%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 1/4))
95.4%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) 1/4))))
94.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
94.0%
(neg.f64 (*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64))))
97.0%
(neg.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))) (PI.f64))))
8.0%
(neg.f64 (*.f64 -4 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1)) (PI.f64))))
29.8%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3) 1/3)) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
98.4%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
94.9%
(neg.f64 (*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)) (PI.f64))))
97.9%
(neg.f64 (*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3)) (PI.f64))))
95.2%
(neg.f64 (*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
95.3%
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))))
98.3%
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))))
0.6%
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (/.f64 4 (PI.f64))))))
0.6%
(neg.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2) (/.f64 4 (PI.f64)))))
95.2%
(neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))))
0.6%
(neg.f64 (neg.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))))))
78.5%
(neg.f64 (neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 4 (/.f64 1 (PI.f64)))))))
95.1%
(neg.f64 (fabs.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))))
93.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))))
Compiler

Compiled 2034 to 1746 computations (14.2% saved)

localize529.0ms (1.9%)

Local Accuracy

Found 19 expressions with local accuracy:

NewAccuracyProgram
99.4%
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))
99.3%
(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
99.3%
(cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
99.0%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))) 3)
99.6%
(*.f64 (*.f64 f 1/4) (PI.f64))
99.4%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)) (PI.f64))
99.3%
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3))
98.8%
(pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)
100.0%
(log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))
99.6%
(*.f64 (*.f64 f 1/4) (PI.f64))
92.0%
(pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64)))
100.0%
(log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
99.6%
(*.f64 (PI.f64) (*.f64 f 1/4))
99.5%
(/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
99.5%
(/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
100.0%
(tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))
99.6%
(*.f64 (*.f64 f 1/4) (PI.f64))
98.9%
(log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))
92.1%
(pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64)))
Compiler

Compiled 354 to 257 computations (27.4% saved)

series234.0ms (0.8%)

Counts
19 → 228
Calls

57 calls:

TimeVariablePointExpression
135.0ms
f
@inf
(log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))
23.0ms
f
@-inf
(log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))
23.0ms
f
@inf
(log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))
15.0ms
f
@-inf
(log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))
14.0ms
f
@0
(log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))

rewrite183.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
622×add-sqr-sqrt
606×pow1
600×*-un-lft-identity
590×add-exp-log
582×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035491
1763485
Stop Event
node limit
Counts
19 → 635
Calls
Call 1
Inputs
(pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64)))
(log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))
(*.f64 (*.f64 f 1/4) (PI.f64))
(tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))
(pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)) (PI.f64))
(*.f64 (*.f64 f 1/4) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))) 3)
(cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64))))) 1)
(*.f64 1 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 2 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))) (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 1 (/.f64 1 (PI.f64))) (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2) (/.f64 1 (PI.f64))) (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (PI.f64))) (pow.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(sqrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 2 (PI.f64))))
(log.f64 (exp.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64))))))
(cbrt.f64 (pow.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))))
(exp.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(exp.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))))
(+.f64 0 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
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simplify278.0ms (1%)

Algorithm
egg-herbie
Rules
794×times-frac
650×fma-def
608×distribute-lft-in
602×distribute-rgt-in
580×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109331891
1276727999
Stop Event
node limit
Counts
863 → 589
Calls
Call 1
Inputs
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(*.f64 (/.f64 1 (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (*.f64 1/4 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 2) (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (*.f64 1/4 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 1/4 (PI.f64))) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) (cbrt.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 2) 1) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 2) (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))) 1/6)) (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))) 1/6))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 2)
(pow.f64 (/.f64 (*.f64 1/4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) (/.f64 1 (*.f64 1/4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 3) (pow.f64 (*.f64 1/4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))))
Outputs
(exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))) (pow.f64 (PI.f64) 2))) (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
(fma.f64 2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 0)))) (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
(fma.f64 2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))) 0))) (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 4))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64)))) (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))) (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))
(fma.f64 2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 0)))) (fma.f64 (*.f64 f f) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (fma.f64 2 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 4)) (*.f64 1/2 (/.f64 (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))) (PI.f64))))) (exp.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))
(fma.f64 2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))) 0))) (*.f64 (+.f64 (*.f64 (*.f64 f f) (fma.f64 1/2 (/.f64 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2))) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 4)))) 1) (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64)))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))) 1))
(*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))

eval325.0ms (1.2%)

Compiler

Compiled 15930 to 12250 computations (23.1% saved)

prune167.0ms (0.6%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New62910639
Fresh51621
Picked235
Done022
Total63631667
Accurracy
99.0%
Counts
667 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.9%
(neg.f64 (pow.f64 (fabs.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) 3))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 1/4 (PI.f64)))) 3))
95.4%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
95.3%
(neg.f64 (/.f64 (log.f64 (*.f64 1/2 (/.f64 f (/.f64 2 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
95.2%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
94.8%
(neg.f64 (/.f64 -1 (/.f64 -1/4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (PI.f64))) (*.f64 1/4 (PI.f64))) (/.f64 (log.f64 (*.f64 f 1/2)) (*.f64 1/4 (PI.f64)))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
94.8%
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
94.0%
(neg.f64 (*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64))))
97.0%
(neg.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))) (PI.f64))))
8.0%
(neg.f64 (*.f64 -4 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1)) (PI.f64))))
29.8%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3) 1/3)) (PI.f64))))
95.3%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
98.4%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
97.9%
(neg.f64 (*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3)) (PI.f64))))
95.2%
(neg.f64 (*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 1/4))))))
95.2%
(neg.f64 (*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
95.2%
(neg.f64 (*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
95.3%
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))))
98.3%
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))))
0.6%
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (/.f64 4 (PI.f64))))))
0.6%
(neg.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2) (/.f64 4 (PI.f64)))))
95.2%
(neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))))
0.6%
(neg.f64 (neg.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))))))
78.5%
(neg.f64 (neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 4 (/.f64 1 (PI.f64)))))))
94.9%
(neg.f64 (fabs.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
93.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))))
Compiler

Compiled 2093 to 1667 computations (20.4% saved)

regimes132.0ms (0.5%)

Counts
80 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
(neg.f64 (/.f64 -1 (/.f64 -1/4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/2 (/.f64 f (/.f64 2 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 1/4))
(neg.f64 (*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))
(neg.f64 (fabs.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(neg.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))))
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) (/.f64 1 (PI.f64))))))
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))))
(neg.f64 (*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 1/4))))))
(neg.f64 (*.f64 -4 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 1)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 4 (/.f64 1 (PI.f64))))))
(neg.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)) (*.f64 1/4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 -4 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64))) 3)) (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3) (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 1/4 (PI.f64)))) 3))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))))
(neg.f64 (neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 4 (/.f64 1 (PI.f64)))))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 f 1/4) (PI.f64)) 3) 1/3)) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) 3))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) -1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (PI.f64))) (*.f64 1/4 (PI.f64))) (/.f64 (log.f64 (*.f64 f 1/2)) (*.f64 1/4 (PI.f64)))))
(neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3) 1/3)))
(neg.f64 (*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 3)) (PI.f64))))
(neg.f64 (pow.f64 (fabs.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 1/4 (PI.f64)))) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (*.f64 1/4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) 1)))
(neg.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) 2) (/.f64 4 (PI.f64)))))
(neg.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) 1/4) f))) (+.f64 (pow.f64 (exp.f64 2) (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))) (*.f64 1/4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
(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 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 2 (sinh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (sqrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))))) (PI.f64))))
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (*.f64 1/4 (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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (/.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 (pow.f64 (exp.f64 f) (*.f64 2 (/.f64 (PI.f64) 8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (*.f64 (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))) (cbrt.f64 (-.f64 0 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.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 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (cbrt.f64 (*.f64 2 (sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))))
(neg.f64 (neg.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 (+.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f 1/4) (PI.f64)))) 1) (*.f64 1/4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))))))))
Outputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
Calls

6 calls:

35.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
33.0ms
f
9.0ms
(*.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)))))))
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)))))
8.0ms
(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
AccuracySegmentsBranch
98.4%1f
98.4%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))))))))
98.4%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)))))))
98.4%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))))))
98.4%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)))))
98.4%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1679 to 1301 computations (22.5% saved)

regimes11.0ms (0%)

Accuracy

Total -0.6b remaining (-19.1%)

Threshold costs -0.6b (-19.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
(neg.f64 (/.f64 -1 (/.f64 -1/4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/2 (/.f64 f (/.f64 2 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 1/4))
(neg.f64 (*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))
(neg.f64 (fabs.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
Outputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
Calls

1 calls:

7.0ms
f
Results
AccuracySegmentsBranch
95.3%1f
Compiler

Compiled 162 to 126 computations (22.2% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
22×*-commutative
14×sub-neg
14×neg-mul-1
14×+-commutative
14×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01978
13678
25678
36878
47578
57778
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
Outputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(*.f64 (neg.f64 -4) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64)))
(*.f64 -4 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(*.f64 -4 (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64)))
Compiler

Compiled 25 to 21 computations (16% saved)

soundness606.0ms (2.1%)

Rules
1222×associate-*l*
1222×associate-*l*
1046×times-frac
1046×times-frac
846×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040794
1902704
093936086
1243632832
093936086
1243632832
Stop Event
node limit
node limit
node limit
Compiler

Compiled 286 to 219 computations (23.4% saved)

end0.0ms (0%)

preprocess43.0ms (0.2%)

Compiler

Compiled 124 to 98 computations (21% saved)

Profiling

Loading profile data...