VandenBroeck and Keller, Equation (20)

Time bar (total: 31.4s)

analyze432.0ms (1.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%25%12.5%4
0%0%56.2%0%0%25%18.7%5
6.3%3.1%46.9%0%0%28.1%21.9%6
6.5%3.1%45.3%0%0%28.1%23.4%7
6.6%3.1%44.5%0%0%28.1%24.2%8
8.3%3.9%43.3%0%0%28.5%24.2%9
8.7%4.1%43.1%0%0%28.5%24.2%10
9.1%4.3%42.9%0%0%28.6%24.2%11
9.1%4.3%42.8%0%0%28.6%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 279.0ms
Operation ival-div, time spent: 78.0ms, 28.0% of total-time
Operation ival-exp, time spent: 64.0ms, 23.0% of total-time
Operation ival-mult, time spent: 62.0ms, 22.0% of total-time
Operation ival-neg, time spent: 26.0ms, 9.0% of total-time
Operation ival-pi, time spent: 12.0ms, 4.0% of total-time
Operation ival-log, time spent: 12.0ms, 4.0% of total-time
Operation ival-add, time spent: 9.0ms, 3.0% of total-time
Operation ival-sub, time spent: 9.0ms, 3.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time

sample12.5s (39.9%)

Results
3.7s4048×1024valid
3.2s3978×1024invalid
1.1s2102×512invalid
1.6s2005×512valid
531.0ms1838×256valid
267.0ms1046×256invalid
528.0ms364×2048valid
1.0ms3×256unsamplable
1.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 8.5s
Operation ival-div, time spent: 2.3s, 27.0% of total-time
Operation ival-exp, time spent: 2.2s, 26.0% of total-time
Operation ival-mult, time spent: 2.0s, 23.0% of total-time
Operation ival-log, time spent: 565.0ms, 7.0% of total-time
Operation ival-neg, time spent: 513.0ms, 6.0% of total-time
Operation ival-add, time spent: 357.0ms, 4.0% of total-time
Operation ival-sub, time spent: 244.0ms, 3.0% of total-time
Operation ival-pi, time spent: 202.0ms, 2.0% of total-time
Operation const, time spent: 152.0ms, 2.0% of total-time
Bogosity

preprocess2.5s (7.9%)

Algorithm
1×egg-herbie
Rules
3700×fma-define
1678×fma-neg
706×distribute-lft-in
650×distribute-rgt-in
606×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2430-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
70-0-(/.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)))))
20-0-(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))))))
00-0-(/.f64 1 (/.f64 (PI.f64) 4))
00-0-1
00-0-4
00-0-(/.f64 (PI.f64) 4)
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
00-0-f
00-0-(*.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)))))))
00-0-(*.f64 (/.f64 (PI.f64) 4) f)
00-0-(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))))))))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(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))))))sensitivity20
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))cancellation2430
/.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)))))o/o70
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))overflow7
↳(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))overflow7
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))overflow7
↳(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))overflow7
Confusion
Predicted +Predicted -
+2520
-04
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25200
-004
Precision?
1.0
Recall?
1.0
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
033584
192484
2250484
3630484
41254484
51914484
62508484
72719484
83048484
93270484
103714364
114435316
124891316
135709316
146279316
156349316
166493316
176645316
186661316
196949316
Stop Event
1×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) 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)))))))))
(neg.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))))))))))
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 (/.f64 1 (PI.f64)) 4) (neg.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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.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 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.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 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.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 (/.f64 1 (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 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.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 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.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 (*.f64 (/.f64 1 (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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
Compiler

Compiled 472 to 350 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
Operation ival-exp, time spent: 386.0ms, 29.0% of total-time
Operation ival-mult, time spent: 374.0ms, 28.0% of total-time
Operation ival-div, time spent: 312.0ms, 24.0% of total-time
Operation ival-log, time spent: 74.0ms, 6.0% of total-time
Operation ival-neg, time spent: 72.0ms, 5.0% of total-time
Operation ival-sub, time spent: 35.0ms, 3.0% of total-time
Operation ival-add, time spent: 33.0ms, 3.0% of total-time
Operation const, time spent: 23.0ms, 2.0% of total-time
Operation ival-pi, time spent: 8.0ms, 1.0% of total-time

eval6.0ms (0%)

Compiler

Compiled 236 to 174 computations (26.3% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.4%
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
▶99.2%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶6.5%
(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 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 88 to 70 computations (20.5% saved)

localize3.8s (12.1%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.4%
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
✓98.4%
(exp.f64 (PI.f64))
✓11.5%
(+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))
✓11.4%
(+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))
✓99.6%
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
✓99.6%
(*.f64 (*.f64 -1/2 f) (PI.f64))
✓99.6%
(*.f64 (PI.f64) f)
✓99.4%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
✓99.4%
(*.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)))))))
✓96.9%
(/.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)))))
✓11.4%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 442 to 296 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.3s
Operation ival-pow, time spent: 2.0s, 60.0% of total-time
Operation ival-mult, time spent: 321.0ms, 10.0% of total-time
Operation ival-exp, time spent: 285.0ms, 9.0% of total-time
Operation ival-div, time spent: 242.0ms, 7.0% of total-time
Operation composed, time spent: 136.0ms, 4.0% of total-time
Operation ival-log, time spent: 128.0ms, 4.0% of total-time
Operation ival-add, time spent: 86.0ms, 3.0% of total-time
Operation ival-sub, time spent: 62.0ms, 2.0% of total-time
Operation const, time spent: 36.0ms, 1.0% of total-time
Operation ival-neg, time spent: 34.0ms, 1.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series479.0ms (1.5%)

Counts
12 → 132
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))>
#<alt (/.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)))))>
#<alt (*.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)))))))>
#<alt (*.f64 (/.f64 (PI.f64) 4) f)>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))>
#<alt (*.f64 (PI.f64) f)>
#<alt (*.f64 (*.f64 -1/2 f) (PI.f64))>
#<alt (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))>
#<alt (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))>
#<alt (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))>
#<alt (exp.f64 (PI.f64))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))>
Outputs
#<alt (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.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 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))>
#<alt (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 2 (/.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (PI.f64))))))>
#<alt (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2 (/.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2/3 (/.f64 (*.f64 f (+.f64 (*.f64 -3/2 (*.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 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
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Calls

33 calls:

TimeVariablePointExpression
183.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
69.0ms
f
@inf
(* (log (+ (/ 1 (+ -1 (pow (pow (exp (PI)) f) 1/2))) (/ -1 (+ -1 (pow (pow (exp (PI)) f) -1/2))))) (/ -4 (PI)))
52.0ms
f
@-inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
49.0ms
f
@inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
44.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

rewrite278.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
382×log1p-expm1-u
380×expm1-log1p-u
373×add-exp-log
370×add-log-exp
365×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047473
1855397
Stop Event
1×node limit
Counts
12 → 223
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)))))
(*.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 (PI.f64) 4) f)
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 (*.f64 -1/2 f) (PI.f64))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
(+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))
(+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))
(exp.f64 (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
Outputs
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))))
(+.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (neg.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 1))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (neg.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 1))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (neg.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 1))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2)))))
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 2) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2) (exp.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) 2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2)
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1))
(fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) 1)
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 1 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2)) (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2)
(pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2))) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 2)
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (/.f64 1 (PI.f64)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3) (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 1))
(+.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) -4) (PI.f64))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))) 1))
(+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 0 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 2) f))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))
(-.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)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(+.f64 0 (*.f64 (PI.f64) (*.f64 f -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f -1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 2)) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1/2) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1))
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) 1)
(*.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (PI.f64)) f)) (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 3/2)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (PI.f64)) f) (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2)
(log.f64 (exp.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1))
(fma.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))) -1)
(fma.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) 1)
(*.f64 1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1)) (-.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -3/2)) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1) (*.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))))
(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 2)
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 1))
(fma.f64 1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1)) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) -1)
(fma.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) -1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (PI.f64)))) 1)
(*.f64 1 (exp.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2) (cbrt.f64 (exp.f64 (PI.f64))))
(*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (sqrt.f64 (exp.f64 (PI.f64))))
(pow.f64 (exp.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 2)
(pow.f64 (exp.f64 1) (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (exp.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (exp.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) -4) (PI.f64))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 1))

simplify265.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1224×fma-define
1182×associate-*r*
976×associate-*l*
878×distribute-lft-in
866×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094121368
1250719006
Stop Event
1×node limit
Counts
355 → 407
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (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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(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 1))
(+.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) -4) (PI.f64))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 -4 (PI.f64)))) 1))
(+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 0 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 2) f))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))
(-.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)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(+.f64 0 (*.f64 (PI.f64) (*.f64 f -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f -1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 2)) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1/2) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
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(-.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) 1)
(*.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (PI.f64)) f)) (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 3/2)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (PI.f64)) f) (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2)
(log.f64 (exp.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1))
(fma.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))) -1)
(fma.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) 1)
(*.f64 1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1)) (-.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -3/2)) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1) (*.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))))
(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 2)
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 1))
(fma.f64 1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1)) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) -1)
(fma.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) -1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (PI.f64)))) 1)
(*.f64 1 (exp.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2) (cbrt.f64 (exp.f64 (PI.f64))))
(*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (sqrt.f64 (exp.f64 (PI.f64))))
(pow.f64 (exp.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 2)
(pow.f64 (exp.f64 1) (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (exp.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (exp.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) -4) (PI.f64))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 1))
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(*.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 3) 1/192))) (*.f64 1/4 (PI.f64))))
(*.f64 f (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (PI.f64) 1/2)))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(*.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (*.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/384 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))) (*.f64 1/384 (pow.f64 (PI.f64) 3))))) (*.f64 1/4 (PI.f64))))
(*.f64 f (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (pow.f64 (PI.f64) 3) 1/192))) (*.f64 (PI.f64) 1/2)))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(*.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (*.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/384 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/122880 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))) (*.f64 1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 1/384 (pow.f64 (PI.f64) 3))))) (*.f64 1/4 (PI.f64))))
(*.f64 f (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))) (*.f64 (pow.f64 (PI.f64) 3) 1/192))) (*.f64 (PI.f64) 1/2)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(-.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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (fma.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (/.f64 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (fma.f64 f 0 (/.f64 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (fma.f64 f (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (*.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 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (fma.f64 f (+.f64 (*.f64 f (-.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))) 0) (/.f64 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.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 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (fma.f64 f (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (*.f64 f (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 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 (pow.f64 (PI.f64) 3) 1/192) (*.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 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (fma.f64 f (+.f64 (*.f64 f (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (fma.f64 f (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 0) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 1/4 (pow.f64 (PI.f64) 2))) -2)))) 0) (/.f64 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
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(+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (*.f64 (PI.f64) (*.f64 f 1/2)))
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(+.f64 0 (*.f64 (PI.f64) f))
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(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 3/2)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (PI.f64)) f) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))))
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(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3) 1/3)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1))
(expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(fma.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) -1)
(+.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (PI.f64))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (PI.f64))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (PI.f64)))) -1)
(fma.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) -1)
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) 1)
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(*.f64 1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1)) (-.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))
(/.f64 (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 (PI.f64)) f))) (-.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 f (neg.f64 (PI.f64))))) (-.f64 -1 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -3/2)) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1) (*.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -3/2)) (+.f64 1 (-.f64 (/.f64 1 (pow.f64 (exp.f64 (PI.f64)) f)) (neg.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -3/2)) (+.f64 (exp.f64 (*.f64 f (neg.f64 (PI.f64)))) (+.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64))) 1)))
(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 1)
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 3)
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 3) 1/3)
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 2)
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))) 1))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(fma.f64 1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)) -1)
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))
(expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1)) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) -1)
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (PI.f64)) f))) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 f (neg.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))) -1)
(fma.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) -1)
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 2 (*.f64 f -1/4))) -1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (PI.f64)))) 1)
(expm1.f64 (log1p.f64 (exp.f64 (PI.f64))))
(*.f64 1 (exp.f64 (PI.f64)))
(exp.f64 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2) (cbrt.f64 (exp.f64 (PI.f64))))
(exp.f64 (PI.f64))
(*.f64 (sqrt.f64 (exp.f64 (PI.f64))) (sqrt.f64 (exp.f64 (PI.f64))))
(exp.f64 (PI.f64))
(pow.f64 (exp.f64 (PI.f64)) 1)
(exp.f64 (PI.f64))
(pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 3)
(exp.f64 (PI.f64))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) 1/3)
(exp.f64 (PI.f64))
(pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 2)
(exp.f64 (PI.f64))
(pow.f64 (exp.f64 1) (PI.f64))
(pow.f64 (E.f64) (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (exp.f64 (PI.f64))))
(exp.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (PI.f64)))))
(exp.f64 (PI.f64))
(cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 3))
(exp.f64 (PI.f64))
(expm1.f64 (log1p.f64 (exp.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (exp.f64 (PI.f64))))
(exp.f64 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) -4) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (/.f64 -4 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 1)
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 3)
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))) -1))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) 3)))
(*.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(*.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (/.f64 -4 (PI.f64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))) -1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (+.f64 -1 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 1))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64))))

eval1.0s (3.2%)

Compiler

Compiled 20800 to 15694 computations (24.5% saved)

prune241.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New48017497
Fresh000
Picked213
Done000
Total48218500
Accuracy
99.8%
Counts
500 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
95.5%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓99.2%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
36.3%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3)))))) (/.f64 -4 (PI.f64)))
6.4%
(*.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))
▶97.6%
(neg.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
98.9%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 2))
97.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 3))
98.0%
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))) 1))
96.5%
(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)))) (exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))))
▶94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
99.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))))
▶99.4%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
▶78.5%
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64)))))
98.0%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))))
98.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))))
▶98.8%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)))
98.9%
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
Compiler

Compiled 693 to 591 computations (14.7% saved)

localize872.0ms (2.8%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 (*.f64 (PI.f64) 1/4) f)
✓99.5%
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
✓98.9%
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)
✓97.5%
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
✓99.6%
(*.f64 (*.f64 (PI.f64) 1/4) f)
✓99.5%
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
✓99.2%
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3))
✓98.9%
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)
✓99.6%
(/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
✓99.6%
(*.f64 f (*.f64 1/4 (PI.f64)))
✓92.0%
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64)))
✓79.0%
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64))))
✓100.0%
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
✓99.6%
(/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))
✓99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
✓99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
✓100.0%
(tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))
✓99.8%
(log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
✓99.6%
(*.f64 f (*.f64 1/4 (PI.f64)))
✓99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))
Compiler

Compiled 377 to 278 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 565.0ms
Operation ival-mult, time spent: 178.0ms, 32.0% of total-time
Operation ival-log, time spent: 127.0ms, 22.0% of total-time
Operation ival-pow, time spent: 100.0ms, 18.0% of total-time
Operation ival-div, time spent: 63.0ms, 11.0% of total-time
Operation ival-tanh, time spent: 55.0ms, 10.0% of total-time
Operation ival-neg, time spent: 20.0ms, 4.0% of total-time
Operation const, time spent: 13.0ms, 2.0% of total-time
Operation ival-pi, time spent: 4.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 1.0% of total-time

series397.0ms (1.3%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))>
#<alt (*.f64 f (*.f64 1/4 (PI.f64)))>
#<alt (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))>
#<alt (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))>
#<alt (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))>
#<alt (*.f64 f (*.f64 (PI.f64) 1/2))>
#<alt (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))>
#<alt (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))>
#<alt (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64))))>
#<alt (pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64)))>
#<alt (*.f64 f (*.f64 1/4 (PI.f64)))>
#<alt (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))>
#<alt (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)>
#<alt (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3))>
#<alt (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))>
#<alt (*.f64 (*.f64 (PI.f64) 1/4) f)>
#<alt (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)>
#<alt (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)>
#<alt (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))>
#<alt (*.f64 (*.f64 (PI.f64) 1/4) f)>
Outputs
#<alt (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))>
#<alt (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 f (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 f (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (+.f64 (*.f64 1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.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))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))) (*.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64))))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (/.f64 (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)))))))) (PI.f64))>
#<alt (/.f64 (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)))))))) (PI.f64))>
#<alt (/.f64 (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)))))))) (PI.f64))>
#<alt (/.f64 (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)))))))) (PI.f64))>
#<alt (/.f64 (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)))))))) (PI.f64))>
#<alt (/.f64 (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)))))))) (PI.f64))>
#<alt (/.f64 (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)))))))) (PI.f64))>
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(pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2)) (pow.f64 (PI.f64) 5))) (/.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.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 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))))) (pow.f64 (PI.f64) 3))))))))))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -64 (/.f64 (pow.f64 (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)))))))) 3) (pow.f64 (PI.f64) 3)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))>
#<alt (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 -2 (/.f64 (*.f64 f (+.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (+.f64 (*.f64 -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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 f (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.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))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))))))))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
Calls

60 calls:

TimeVariablePointExpression
83.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
66.0ms
f
@inf
(log (pow (/ 1 (tanh (* f (* 1/4 (PI))))) (/ 4 (PI))))
59.0ms
f
@-inf
(log (pow (/ 1 (tanh (* f (* 1/4 (PI))))) (/ 4 (PI))))
35.0ms
f
@-inf
(/ (log (tanh (* f (* 1/4 (PI))))) (PI))
28.0ms
f
@inf
(/ (log (tanh (* f (* 1/4 (PI))))) (PI))

rewrite352.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
731×log1p-expm1-u
410×associate-*r*
258×associate-*l*
199×add-exp-log
199×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039650
1635612
26789612
Stop Event
1×node limit
Counts
20 → 842
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (PI.f64) 1/4) f)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (PI.f64) 1/4) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) 1)
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(-.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) (*.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (/.f64 1 (PI.f64))))
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(pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) -1)
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 2) 1/16))
(log.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1)
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 1 (/.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/4))))
(/.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)
(/.f64 (*.f64 (*.f64 f (PI.f64)) -1/2) -2)
(/.f64 (*.f64 f (PI.f64)) 4)
(/.f64 (*.f64 f (neg.f64 (PI.f64))) -4)
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) -4)
(pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/64) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1))

simplify605.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1138×distribute-lft-in
1118×distribute-rgt-in
1106×fma-define
774×times-frac
594×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119864480
1320057051
Stop Event
1×node limit
Counts
1082 → 653
Calls
Call 1
Inputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
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(sqrt.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))) 1))
(+.f64 0 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(-.f64 0 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))) 1)
(-.f64 (/.f64 0 (*.f64 1/4 (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 4)
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) -4)
(*.f64 1 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 1)
(*.f64 -1 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 2))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 2) 1/16) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 1/4 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) (*.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 1/4 (PI.f64))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1/4))
(*.f64 (/.f64 1 (PI.f64)) (*.f64 4 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 2) 1/16) 1/3) (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 1/4 (PI.f64))) 2)) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (cbrt.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 1/4 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 1/4 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1/4))
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1/4))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 1/4 (PI.f64))) 2)) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (cbrt.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (/.f64 -1 (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) 1/4) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1/4))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) (pow.f64 (cbrt.f64 (*.f64 1/4 (PI.f64))) 2)) (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2)) (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (cbrt.f64 (*.f64 1/4 (PI.f64))) 2)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (cbrt.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) -1) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2))) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 4) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1) (/.f64 4 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 6) 1/6)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 2)
(pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) -1)
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 2) 1/16))
(log.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1)
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 1 (/.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/4))))
(/.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)
(/.f64 (*.f64 (*.f64 f (PI.f64)) -1/2) -2)
(/.f64 (*.f64 f (PI.f64)) 4)
(/.f64 (*.f64 f (neg.f64 (PI.f64))) -4)
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) -4)
(pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/64) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1))
Outputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (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)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(fma.f64 2 (*.f64 f (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(+.f64 (fma.f64 2 (*.f64 f 0) (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)))
(+.f64 (*.f64 f (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
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(*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 1)
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3) 1/3)
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 3)
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))) 6) 1/6)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 2)
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) -1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 2) 1/16))
(log.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 0))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 0))
(exp.f64 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 1))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1)
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 f (/.f64 4 (PI.f64)))
(*.f64 (/.f64 f 4) (PI.f64))
(/.f64 1 (/.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/4))))
(*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/4)))
(neg.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(/.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)
(*.f64 (PI.f64) (/.f64 (*.f64 f 1/2) 2))
(/.f64 (*.f64 (*.f64 f (PI.f64)) -1/2) -2)
(*.f64 1/4 (*.f64 f (PI.f64)))
(/.f64 (*.f64 f (PI.f64)) 4)
(/.f64 (*.f64 f (neg.f64 (PI.f64))) -4)
(/.f64 (neg.f64 (*.f64 f (PI.f64))) -4)
(neg.f64 (/.f64 (*.f64 f (PI.f64)) -4))
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) -4)
(/.f64 (neg.f64 (*.f64 f (PI.f64))) -4)
(neg.f64 (/.f64 (*.f64 f (PI.f64)) -4))
(pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)
(*.f64 1/4 (*.f64 f (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3)
(*.f64 1/4 (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 3) 1/3)
(*.f64 1/4 (*.f64 f (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2)
(*.f64 1/4 (*.f64 f (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 2))
(fabs.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 3))
(*.f64 1/4 (*.f64 f (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/64) (pow.f64 f 3)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1))
(*.f64 1/4 (*.f64 f (PI.f64)))

eval1.0s (3.2%)

Compiler

Compiled 31674 to 24308 computations (23.3% saved)

prune193.0ms (0.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New82119840
Fresh9312
Picked505
Done101
Total83622858
Accuracy
100.0%
Counts
858 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.0%
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
95.5%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
93.2%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3) 1/3))
94.4%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 2))
▶93.4%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 3))
94.9%
(neg.f64 (/.f64 1 (/.f64 (*.f64 1/4 (PI.f64)) (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
99.3%
(neg.f64 (/.f64 -4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
94.6%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 1/4 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))))
▶94.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (-.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) -1)))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
99.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
9.6%
(neg.f64 (*.f64 -4 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (PI.f64))))
▶99.4%
(neg.f64 (*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
95.0%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
▶5.8%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
3.3%
(neg.f64 (*.f64 -4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) 1)))
74.2%
(neg.f64 (log.f64 (pow.f64 (/.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/4))) (/.f64 4 (PI.f64)))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))))
93.6%
(neg.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))))
Compiler

Compiled 728 to 626 computations (14% saved)

localize617.0ms (2%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 f (PI.f64))
✓99.4%
(*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))
✓99.2%
(cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
✓98.8%
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 3)
✓100.0%
(log.f64 (/.f64 2 f))
✓99.5%
(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
✓99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2))))
✓98.4%
(log.f64 (*.f64 (PI.f64) 1/2))
✓99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓99.6%
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
✓96.9%
(log.f64 (/.f64 4 (PI.f64)))
✓99.8%
(log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
✓99.8%
(sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
✓99.6%
(*.f64 f (PI.f64))
✓99.5%
(/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))
Compiler

Compiled 298 to 202 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 368.0ms
Operation ival-log, time spent: 132.0ms, 36.0% of total-time
Operation ival-mult, time spent: 83.0ms, 23.0% of total-time
Operation ival-div, time spent: 59.0ms, 16.0% of total-time
Operation ival-tanh, time spent: 21.0ms, 6.0% of total-time
Operation ival-neg, time spent: 16.0ms, 4.0% of total-time
Operation ival-sub, time spent: 16.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 12.0ms, 3.0% of total-time
Operation const, time spent: 11.0ms, 3.0% of total-time
Operation ival-pow, time spent: 10.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 8.0ms, 2.0% of total-time
Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series413.0ms (1.3%)

Counts
15 → 128
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))>
#<alt (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (log.f64 (/.f64 4 (PI.f64)))>
#<alt (/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))>
#<alt (log.f64 (*.f64 (PI.f64) 1/2))>
#<alt (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2))))>
#<alt (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))>
#<alt (log.f64 (/.f64 2 f))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 3)>
#<alt (cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))>
#<alt (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))>
#<alt (*.f64 f (PI.f64))>
Outputs
#<alt (*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64)))>
#<alt (+.f64 (*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))>
#<alt (+.f64 (*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64))) (*.f64 (pow.f64 f 3) (+.f64 (*.f64 1/12 (/.f64 (*.f64 f (+.f64 (*.f64 -12 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 48 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 f (PI.f64))))))) (*.f64 f (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (*.f64 f (pow.f64 (PI.f64) 2)))))))>
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#<alt (-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 f)))>
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#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 2) (log.f64 (/.f64 1 f)))>
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#<alt (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f)))>
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#<alt (/.f64 (*.f64 (pow.f64 (cbrt.f64 -4) 3) (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))>
#<alt (/.f64 (*.f64 (pow.f64 (cbrt.f64 -4) 3) (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))>
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#<alt (*.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (cbrt.f64 -4))>
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#<alt (*.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (cbrt.f64 -4))>
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#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
Calls

39 calls:

TimeVariablePointExpression
173.0ms
f
@-inf
(/ (* -4 (- (log (/ 4 (PI))) (log f))) (PI))
37.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (- (log (/ 2 f)) (log (* (PI) 1/2))))
30.0ms
f
@-inf
(/ (* 2 (log (sqrt (tanh (* 1/4 (* f (PI))))))) (PI))
30.0ms
f
@inf
(/ (* 2 (log (sqrt (tanh (* 1/4 (* f (PI))))))) (PI))
22.0ms
f
@0
(/ (* -4 (- (log (/ 4 (PI))) (log f))) (PI))

rewrite154.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
534×associate-*r*
274×log1p-expm1-u
274×expm1-log1p-u
270×add-exp-log
265×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040416
1643394
Stop Event
1×node limit
Counts
15 → 422
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))
(*.f64 f (PI.f64))
(sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 (PI.f64) 1/2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 2 f))
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 3)
(cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))
(*.f64 f (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) 1)
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1) (/.f64 2 (PI.f64)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) -1)
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
(log.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
(pow.f64 (*.f64 f (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(sqrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 1)
(*.f64 1 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 (cbrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (cbrt.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1/4) (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2)) 1/2) (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 2))) (sqrt.f64 (cbrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (*.f64 f (PI.f64))))) (sqrt.f64 (+.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))))))
(pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1/2)
(pow.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3/2) 1/3)
(pow.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (sqrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(fabs.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(log.f64 (exp.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1))
(+.f64 0 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1/4)) (log.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (log.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) 1)
(*.f64 1/2 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 1 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(pow.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log1p.f64 (-.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 1))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (PI.f64) -1/4)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 -1 (log.f64 (*.f64 (PI.f64) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (*.f64 (log.f64 4) (log.f64 4)) (+.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 4) (log.f64 (PI.f64))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (*.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 1)
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) -4)) (/.f64 1 (PI.f64)))
(*.f64 1 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 2) (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 -4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 -4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 -4 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) -4)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) -4)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) -4))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) -4))) (PI.f64)))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(*.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6) (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1/3))
(/.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4)) (cbrt.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 1))
(-.f64 0 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4)))
(/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2) 3/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2)
(neg.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
(pow.f64 (*.f64 f (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(sqrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))

simplify256.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1300×associate-*l*
1268×associate-*r*
834×fma-define
664×times-frac
558×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115226295
1283324712
Stop Event
1×node limit
Counts
550 → 685
Calls
Call 1
Inputs
(*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))
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(+.f64 (*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64))) (*.f64 (pow.f64 f 3) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (*.f64 f (pow.f64 (PI.f64) 2)))) (*.f64 f (+.f64 (*.f64 1/60 (/.f64 (*.f64 f (+.f64 (*.f64 -240 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 240 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/6144 (pow.f64 (PI.f64) 4))))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/24576 (pow.f64 (PI.f64) 5)) (*.f64 1/61440 (pow.f64 (PI.f64) 5))))))) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.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))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/1536 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (*.f64 f (PI.f64))))))) (*.f64 f (PI.f64)))))) (PI.f64))) (*.f64 1/12 (/.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 48 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 f (PI.f64))))))) (*.f64 f (PI.f64))))) (PI.f64))))))))
(*.f64 2 (/.f64 (log.f64 (sqrt.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))))))))) (PI.f64)))
(*.f64 2 (/.f64 (log.f64 (sqrt.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))))))))) (PI.f64)))
(*.f64 2 (/.f64 (log.f64 (sqrt.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))))))))) (PI.f64)))
(*.f64 2 (/.f64 (log.f64 (sqrt.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))))))))) (PI.f64)))
(*.f64 2 (/.f64 (log.f64 (sqrt.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))))))))) (PI.f64)))
(*.f64 2 (/.f64 (log.f64 (sqrt.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))))))))) (PI.f64)))
(*.f64 2 (/.f64 (log.f64 (sqrt.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))))))))) (PI.f64)))
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2) (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6)) (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4)))
(/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (neg.f64 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(*.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6) (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1/3))
(/.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4)) (cbrt.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 1))
(-.f64 0 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4)))
(/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2) 3/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2)
(neg.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
(pow.f64 (*.f64 f (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(sqrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))
Outputs
(*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))
(fma.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64)) (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128)))) (pow.f64 (PI.f64) 2))))
(fma.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64)) (*.f64 (*.f64 4 (pow.f64 f 2)) (/.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 -1/128 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 2 (/.f64 (log.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64))))) (PI.f64))) (*.f64 (pow.f64 f 3) (+.f64 (*.f64 1/12 (/.f64 (*.f64 f (+.f64 (*.f64 -12 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 48 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 f (PI.f64))))))) (*.f64 f (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (*.f64 f (pow.f64 (PI.f64) 2)))))))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))))
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(/.f64 (cbrt.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (PI.f64)))
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(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
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(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
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(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1/6) 2)
(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 1/3))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 1))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(-.f64 0 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))
(*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (PI.f64)))
(/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))
(*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))
(*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (neg.f64 (PI.f64)))
(*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 1)
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 3)
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))) 2) 3/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 3) 1/3)
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) 2)
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))) 2))
(fabs.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))))
(log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))) 0))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 3))
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)) 3)))
(cbrt.f64 (*.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)) 3)))
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(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))))
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(log.f64 (+.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))) 0))
(exp.f64 (log.f64 (log.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
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(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(pow.f64 (*.f64 f (PI.f64)) 1)
(*.f64 f (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(*.f64 f (PI.f64))
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(*.f64 f (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(*.f64 f (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))
(fabs.f64 (*.f64 f (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 f (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(*.f64 f (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))
(*.f64 f (PI.f64))

eval365.0ms (1.2%)

Compiler

Compiled 16943 to 12782 computations (24.6% saved)

prune145.0ms (0.5%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New69012702
Fresh71017
Picked235
Done000
Total69925724
Accuracy
100.0%
Counts
724 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(/.f64 (*.f64 -4 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (PI.f64))
▶93.5%
(/.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)) (PI.f64))
✓95.0%
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
95.0%
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
93.6%
(/.f64 (*.f64 -4 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
93.6%
(/.f64 (*.f64 -4 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
94.5%
(/.f64 (*.f64 -4 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))) (PI.f64))
94.7%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
▶94.9%
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
95.5%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
94.4%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 2))
1.7%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
94.9%
(neg.f64 (/.f64 1 (/.f64 (*.f64 1/4 (PI.f64)) (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
▶99.3%
(neg.f64 (/.f64 -4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
▶94.8%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
94.6%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 1/4 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))))
94.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 1/2 (PI.f64))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (-.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) -1)))
99.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))))
9.6%
(neg.f64 (*.f64 -4 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (PI.f64))))
✓99.4%
(neg.f64 (*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
✓5.8%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
3.3%
(neg.f64 (*.f64 -4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) 1)))
▶78.0%
(neg.f64 (neg.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))))
Compiler

Compiled 748 to 632 computations (15.5% saved)

localize846.0ms (2.7%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.3%
(/.f64 (/.f64 4 (PI.f64)) f)
✓99.3%
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓98.9%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
✓97.4%
(PI.f64)
✓99.5%
(/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4))
✓98.5%
(/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))
98.5%
(log.f64 (*.f64 (PI.f64) 1/2))
✓97.4%
(PI.f64)
99.6%
(*.f64 f (PI.f64))
✓97.4%
(PI.f64)
✓92.0%
(pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))
✓83.1%
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
✓99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.6%
(*.f64 f (PI.f64))
✓99.4%
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
✓97.4%
(PI.f64)
✓99.6%
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
✓99.6%
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
99.6%
(*.f64 f (PI.f64))
✓97.4%
(PI.f64)
Compiler

Compiled 279 to 179 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 580.0ms
Operation ival-log, time spent: 213.0ms, 37.0% of total-time
Operation ival-pow, time spent: 109.0ms, 19.0% of total-time
Operation ival-div, time spent: 102.0ms, 18.0% of total-time
Operation ival-mult, time spent: 59.0ms, 10.0% of total-time
Operation ival-tanh, time spent: 58.0ms, 10.0% of total-time
Operation const, time spent: 11.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 10.0ms, 2.0% of total-time
Operation ival-sub, time spent: 8.0ms, 1.0% of total-time
Operation ival-neg, time spent: 6.0ms, 1.0% of total-time
Operation ival-pi, time spent: 5.0ms, 1.0% of total-time

series118.0ms (0.4%)

Counts
16 → 108
Calls
Call 1
Inputs
#<alt (PI.f64)>
#<alt (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (/.f64 -4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (PI.f64)>
#<alt (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))>
#<alt (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))>
#<alt (PI.f64)>
#<alt (PI.f64)>
#<alt (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))>
#<alt (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4))>
#<alt (PI.f64)>
#<alt (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)>
#<alt (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))>
#<alt (/.f64 (/.f64 4 (PI.f64)) f)>
Outputs
#<alt (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))>
#<alt (+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))>
#<alt (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 (PI.f64) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 3)))) (*.f64 1/2 (/.f64 (*.f64 (PI.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2)))))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))))) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))>
#<alt (+.f64 (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -2 (/.f64 (*.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) (*.f64 (PI.f64) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 3)))) (*.f64 1/2 (/.f64 (*.f64 (PI.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2)))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (*.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))) (+.f64 (*.f64 -1 (/.f64 (*.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 3))) (*.f64 1/6 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.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))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 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) (*.f64 (PI.f64) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 3)))) (*.f64 1/2 (/.f64 (*.f64 (PI.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2)))))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))))) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (/.f64 (PI.f64) (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)))))))))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))>
#<alt (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 -2 (/.f64 (*.f64 f (+.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (+.f64 (*.f64 -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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 f (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.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))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))))))))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))))))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))>
#<alt (cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
Calls

30 calls:

TimeVariablePointExpression
49.0ms
f
@-inf
(log (pow (* (* f (PI)) 1/4) (/ 4 (PI))))
22.0ms
f
@0
(log (pow (* (* f (PI)) 1/4) (/ 4 (PI))))
19.0ms
f
@inf
(log (pow (* (* f (PI)) 1/4) (/ 4 (PI))))
4.0ms
f
@0
(/ (PI) (log (tanh (* 1/4 (* f (PI))))))
2.0ms
f
@0
(cbrt (log (/ (/ 4 (PI)) f)))

rewrite137.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
480×associate-*r*
312×associate-*l*
270×frac-times
252×add-exp-log
249×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038332
1620332
Stop Event
1×node limit
Counts
16 → 473
Calls
Call 1
Inputs
(PI.f64)
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(PI.f64)
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))
(pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64)))
(PI.f64)
(PI.f64)
(/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4))
(PI.f64)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) 1)
(*.f64 (PI.f64) (/.f64 1 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
(*.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1)
(*.f64 1 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
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(*.f64 1 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
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(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/3))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
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(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
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simplify366.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1116×associate-*r*
1076×associate-/r*
1062×times-frac
1022×associate-*l*
644×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093221366
1215219640
Stop Event
1×node limit
Counts
581 → 538
Calls
Call 1
Inputs
(/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
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(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 -4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
Outputs
(/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 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)))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))) (/.f64 (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)) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 2)) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4)))))
(+.f64 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4)))) (/.f64 (*.f64 f 0) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 2)))
(+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (*.f64 (PI.f64) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 3)))) (*.f64 1/2 (/.f64 (*.f64 (PI.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 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2)))))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))))) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(fma.f64 f (+.f64 (*.f64 (neg.f64 f) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (*.f64 (PI.f64) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 3))) (*.f64 1/2 (*.f64 (PI.f64) (/.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 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 2)))))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 2)))) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4)))))
(fma.f64 f (fma.f64 (neg.f64 f) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 (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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 2))) (/.f64 0 (*.f64 (PI.f64) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 3)))) (/.f64 0 (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) 2))) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4)))))
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(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 -4 (PI.f64)))))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 (*.f64 (PI.f64) f)))) (+.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
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(fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
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(log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0))
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(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))
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(log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
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(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 1 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)))
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(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3)
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(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/6) 2)
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/3))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) f))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (*.f64 f (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 4 (*.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (*.f64 f (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 4 (*.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 1 (*.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 -4 (*.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 -4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 -4 (PI.f64)) (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 -4 (sqrt.f64 f)) (PI.f64)) (sqrt.f64 f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) f))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 -4 (PI.f64)) (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 -4 (sqrt.f64 f)) (PI.f64)) (sqrt.f64 f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (*.f64 f (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 4 (*.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 2 (*.f64 (cbrt.f64 f) (sqrt.f64 (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) -1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (/.f64 -64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))

eval488.0ms (1.6%)

Compiler

Compiled 18241 to 13405 computations (26.5% saved)

prune181.0ms (0.6%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New9158923
Fresh8917
Picked235
Done033
Total92523948
Accuracy
100.0%
Counts
948 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓95.0%
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
94.5%
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64))
95.0%
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
93.6%
(/.f64 (*.f64 -4 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
93.6%
(/.f64 (*.f64 -4 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
1.7%
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
94.9%
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
94.3%
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓94.9%
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
95.5%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓99.3%
(neg.f64 (/.f64 -4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
99.2%
(neg.f64 (/.f64 -4 (*.f64 (/.f64 1 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
✓94.8%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
94.6%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 1/4 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))))
94.6%
(neg.f64 (-.f64 (/.f64 1 (*.f64 (PI.f64) (/.f64 1/4 (log.f64 (/.f64 2 f))))) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
98.0%
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 -4 (PI.f64))))) 1))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (-.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) -1)))
99.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))))
9.6%
(neg.f64 (*.f64 -4 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (PI.f64))))
✓99.4%
(neg.f64 (*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
✓5.8%
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
78.0%
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
Compiler

Compiled 1301 to 1017 computations (21.8% saved)

regimes95.0ms (0.3%)

Counts
59 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 1/4 (PI.f64)) (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (-.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) -1)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(neg.f64 (neg.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.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 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/4))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 1/2 (PI.f64))))))
(neg.f64 (/.f64 -4 (*.f64 (/.f64 1 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 1/4 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 1 (*.f64 (PI.f64) (/.f64 1/4 (log.f64 (/.f64 2 f))))) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
(/.f64 (*.f64 -4 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (*.f64 -4 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))) (PI.f64))
(/.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)) (PI.f64))
(/.f64 (*.f64 -4 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (PI.f64))
(neg.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))) 3) 1/3))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (*.f64 -4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) 1)))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 -4 (PI.f64))))) 1))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))) 1))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
(neg.f64 (*.f64 -4 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) (PI.f64))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(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)))) (exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
Outputs
(neg.f64 (*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
Calls

6 calls:

28.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
27.0ms
f
14.0ms
(/.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
(*.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)))))))
7.0ms
(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
99.4%1f
99.4%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))))))))
99.4%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)))))))
99.4%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))))))
99.4%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)))))
99.4%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes20.0ms (0.1%)

Counts
37 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 1/4 (PI.f64)) (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (-.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) -1)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(neg.f64 (neg.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.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 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/4))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 1/2 (PI.f64))))))
(neg.f64 (/.f64 -4 (*.f64 (/.f64 1 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 1/4 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64)))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 1 (*.f64 (PI.f64) (/.f64 1/4 (log.f64 (/.f64 2 f))))) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
(/.f64 (*.f64 -4 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (PI.f64))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (*.f64 -4 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))) (PI.f64))
(/.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)) (PI.f64))
(/.f64 (*.f64 -4 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (PI.f64))
(neg.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
Outputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
Calls

1 calls:

18.0ms
f
Results
AccuracySegmentsBranch
99.4%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 1/4 (PI.f64)) (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (-.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) -1)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(neg.f64 (neg.f64 (log.f64 (pow.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) (/.f64 4 (PI.f64))))))
Outputs
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
Calls

1 calls:

17.0ms
f
Results
AccuracySegmentsBranch
97.7%2f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 1/4 (PI.f64)) (neg.f64 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (-.f64 1 (log.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) -1)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64))
Outputs
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
Calls

1 calls:

16.0ms
f
Results
AccuracySegmentsBranch
97.6%2f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
Outputs
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
Calls

1 calls:

7.0ms
f
Results
AccuracySegmentsBranch
97.5%2f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
5.8%1f
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch39.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
0.05383804562807759
3.486891501396679
Results
33.0ms111×256valid
0.0ms1×256valid
Compiler

Compiled 196 to 173 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-div, time spent: 5.0ms, 22.0% of total-time
Operation ival-exp, time spent: 5.0ms, 22.0% of total-time
Operation ival-mult, time spent: 4.0ms, 18.0% of total-time
Operation ival-neg, time spent: 3.0ms, 13.0% of total-time
Operation ival-sub, time spent: 2.0ms, 9.0% of total-time
Operation ival-log, time spent: 2.0ms, 9.0% of total-time
Operation ival-pi, time spent: 1.0ms, 4.0% of total-time
Operation ival-add, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch42.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
41.0ms
0.05383804562807759
3.486891501396679
Results
31.0ms111×256valid
0.0ms1×256valid
Compiler

Compiled 189 to 166 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-div, time spent: 5.0ms, 25.0% of total-time
Operation ival-exp, time spent: 5.0ms, 25.0% of total-time
Operation ival-mult, time spent: 4.0ms, 20.0% of total-time
Operation ival-log, time spent: 2.0ms, 10.0% of total-time
Operation ival-pi, time spent: 1.0ms, 5.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 5.0% of total-time

bsearch40.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
40.0ms
0.05383804562807759
3.486891501396679
Results
34.0ms111×256valid
0.0ms1×256valid
Compiler

Compiled 189 to 166 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-div, time spent: 5.0ms, 23.0% of total-time
Operation ival-exp, time spent: 5.0ms, 23.0% of total-time
Operation ival-mult, time spent: 4.0ms, 19.0% of total-time
Operation ival-log, time spent: 3.0ms, 14.0% of total-time
Operation ival-pi, time spent: 1.0ms, 5.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 5.0% of total-time

simplify53.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
304×distribute-lft-neg-in
192×neg-mul-1
144×neg-sub0
144×cancel-sign-sub
120×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055322
189322
2125322
3152306
4176306
5196306
6221306
7251306
8375306
9583306
10730306
11832306
12904306
13928306
14947306
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)) (neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64)))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64)))))
(if (<=.f64 f 5/4) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) (neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64)))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
Outputs
(neg.f64 (*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(*.f64 (neg.f64 -4) (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64)) (neg.f64 -4))
(*.f64 -4 (/.f64 (*.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (neg.f64 (PI.f64))))
(neg.f64 (*.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))))
(*.f64 -4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (neg.f64 (PI.f64))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)) (neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64)))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)) (*.f64 (neg.f64 -4) (/.f64 0 (PI.f64))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)) (*.f64 (/.f64 0 (PI.f64)) (neg.f64 -4)))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)) (*.f64 -4 (/.f64 0 (PI.f64))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64)))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (*.f64 (neg.f64 -4) (/.f64 0 (PI.f64))))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (*.f64 (/.f64 0 (PI.f64)) (neg.f64 -4)))
(if (<=.f64 f 5/4) (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (*.f64 -4 (/.f64 0 (PI.f64))))
(if (<=.f64 f 5/4) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) (neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64)))))
(if (<=.f64 f 5/4) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) (*.f64 (neg.f64 -4) (/.f64 0 (PI.f64))))
(if (<=.f64 f 5/4) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) (*.f64 (/.f64 0 (PI.f64)) (neg.f64 -4)))
(if (<=.f64 f 5/4) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) (*.f64 -4 (/.f64 0 (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 1) (PI.f64))))
(*.f64 (neg.f64 -4) (/.f64 0 (PI.f64)))
(*.f64 (/.f64 0 (PI.f64)) (neg.f64 -4))
(*.f64 -4 (/.f64 0 (PI.f64)))
Compiler

Compiled 96 to 80 computations (16.7% saved)

soundness1.9s (6.2%)

Rules
3700×fma-define
1678×fma-neg
1300×associate-*l*
1268×associate-*r*
1224×fma-define
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
094121368
1250719006
033584
192484
2250484
3630484
41254484
51914484
62508484
72719484
83048484
93270484
103714364
114435316
124891316
135709316
146279316
156349316
166493316
176645316
186661316
196949316
0115226295
1283324712
040416
1643394
0119864480
1320057051
039650
1635612
26789612
047473
1855397
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 434 to 328 computations (24.4% saved)

end0.0ms (0%)

preprocess138.0ms (0.4%)

Compiler

Compiled 258 to 196 computations (24% saved)

Profiling

Loading profile data...