Metrics for VandenBroeck and Keller, Equation (20)

analyze383.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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
7.4%	3.5%	44.1%	0%	0%	28.1%	24.2%	9
7.8%	3.7%	43.9%	0%	0%	28.1%	24.2%	10
8%	3.8%	43.8%	0%	0%	28.1%	24.2%	11
8%	3.8%	43.8%	0%	0%	28.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

Operation ival-div, time spent: 104.0ms, 37.0% of total-time

Operation ival-mult, time spent: 59.0ms, 21.0% of total-time

Operation ival-exp, time spent: 43.0ms, 15.0% of total-time

Operation ival-neg, time spent: 23.0ms, 8.0% of total-time

Operation ival-log, time spent: 20.0ms, 7.0% of total-time

Operation ival-add, time spent: 11.0ms, 4.0% of total-time

Operation ival-sub, time spent: 10.0ms, 4.0% of total-time

Operation ival-pi, time spent: 8.0ms, 3.0% of total-time

Operation const, time spent: 6.0ms, 2.0% of total-time

sample14.7s (46.2%)

Results

5.4s	4575×	2	valid
4.1s	4234×	2	invalid
2.2s	3387×	1	valid
1.6s	2861×	1	invalid
94.0ms	293×	0	valid
1.0ms	5×	0	unsamplable
1.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 10.9s

Operation ival-exp, time spent: 2.6s, 24.0% of total-time

Operation ival-div, time spent: 2.5s, 23.0% of total-time

Operation ival-mult, time spent: 2.1s, 19.0% of total-time

Operation ival-add, time spent: 983.0ms, 9.0% of total-time

Operation ival-sub, time spent: 763.0ms, 7.0% of total-time

Operation ival-log, time spent: 728.0ms, 7.0% of total-time

Operation ival-neg, time spent: 727.0ms, 7.0% of total-time

Operation const, time spent: 219.0ms, 2.0% of total-time

Operation ival-pi, time spent: 216.0ms, 2.0% of total-time

Bogosity

preprocess3.1s (9.7%)

Algorithm

1×	egg-herbie

Rules

1554×	`fma-def`
850×	`associate-/l*`
696×	`associate-*r/`
536×	`cancel-sign-sub-inv`
520×	`distribute-lft-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
248	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
6	-	-	`(/.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)))))`
0	-	-	`(PI.f64)`
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))))))))`
0	-	-	`(*.f64 (/.f64 (PI.f64) 4) f)`
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)))))))`
0	-	-	`f`
0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
0	-	-	`(/.f64 (PI.f64) 4)`
0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
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))))))`
0	-	-	`4`
0	-	-	`1`
0	-	-	`(/.f64 1 (/.f64 (PI.f64) 4))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484

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)) (neg.f64 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)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.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)) (neg.f64 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)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.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)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))) (/.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)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))))

Compiler

Compiled 434 to 320 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.6s

Operation ival-exp, time spent: 680.0ms, 26.0% of total-time

Operation ival-div, time spent: 569.0ms, 22.0% of total-time

Operation ival-sub, time spent: 489.0ms, 19.0% of total-time

Operation ival-mult, time spent: 479.0ms, 18.0% of total-time

Operation ival-add, time spent: 147.0ms, 6.0% of total-time

Operation ival-log, time spent: 112.0ms, 4.0% of total-time

Operation ival-neg, time spent: 98.0ms, 4.0% of total-time

Operation const, time spent: 40.0ms, 2.0% of total-time

Operation ival-pi, time spent: 8.0ms, 0.0% of total-time

eval5.0ms (0%)

Compiler: Compiled 169 to 118 computations (30.2% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(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))))))))

Status

Accuracy

Program

▶

5.8%

(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 38 to 30 computations (21.1% saved)

localize1.3s (4.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	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)))))))
✓	97.3%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	10.1%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-div, time spent: 386.0ms, 34.0% of total-time

Operation ival-exp, time spent: 263.0ms, 23.0% of total-time

Operation ival-mult, time spent: 176.0ms, 15.0% of total-time

Operation ival-log, time spent: 105.0ms, 9.0% of total-time

Operation ival-add, time spent: 67.0ms, 6.0% of total-time

Operation ival-sub, time spent: 66.0ms, 6.0% of total-time

Operation ival-neg, time spent: 63.0ms, 5.0% of total-time

Operation const, time spent: 20.0ms, 2.0% of total-time

Operation ival-pi, time spent: 4.0ms, 0.0% of total-time

series137.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
81.0ms	f	@	-inf	(.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)))))))
40.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
9.0ms	f	@	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)))))))
2.0ms	f	@	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)))))
1.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

rewrite202.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`associate-r`
168×	`associate-l`
138×	`add-exp-log`
137×	`add-log-exp`
137×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	313	112
2	5532	112

Stop Event

1×

unsound

Counts

4 → 64

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)

Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1344×	`times-frac`
1314×	`fma-def`
662×	`distribute-lft-in`
658×	`distribute-rgt-in`
622×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	423	3549
2	1634	3244

Stop Event

1×	node limit

Counts

112 → 62

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 f (-.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 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.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 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.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 f (-.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 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.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 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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)))))))
(/.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 (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 (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 (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 (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 (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 (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 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 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))))
(+.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 (.f64 2 (/.f64 (.f64 (pow.f64 f 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)))))) 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 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.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 (.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 (.f64 2 (/.f64 (.f64 (pow.f64 f 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)))))) 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 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (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)))
(.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)))
(.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)))
(.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)))
(.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)))
(.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)))
(.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)))
(.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)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
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-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval75.0ms (0.2%)

Compiler: Compiled 2907 to 2198 computations (24.4% saved)

prune21.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	7	69

Accuracy

97.4%

Counts

69 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
▶	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
	5.8%	(neg.f64 (.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))))

Compiler

Compiled 366 to 292 computations (20.2% saved)

localize1.0s (3.2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.5%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
✓	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 f (*.f64 (PI.f64) 1/2)))))
✓	97.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.4%	(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.6%	(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
✓	99.5%	(/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
✓	99.3%	(+.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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 599 to 433 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 768.0ms

Operation ival-mult, time spent: 202.0ms, 26.0% of total-time

Operation ival-div, time spent: 155.0ms, 20.0% of total-time

Operation ival-log, time spent: 140.0ms, 18.0% of total-time

Operation ival-sub, time spent: 115.0ms, 15.0% of total-time

Operation ival-add, time spent: 92.0ms, 12.0% of total-time

Operation const, time spent: 26.0ms, 3.0% of total-time

Operation ival-exp, time spent: 22.0ms, 3.0% of total-time

Operation ival-neg, time spent: 15.0ms, 2.0% of total-time

Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series426.0ms (1.3%)

Counts

16 → 131

Calls

42 calls:

Time	Variable		Point	Expression
288.0ms	f	@	0	(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
22.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
21.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
14.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
13.0ms	f	@	inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite144.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

375×	`log1p-expm1-u`
375×	`expm1-log1p-u`
371×	`add-exp-log`
365×	`add-log-exp`
365×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	611
1	954	611

Stop Event

1×	node limit

Counts

16 → 334

Calls

Call 1

Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
(.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 f (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))

Outputs
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))) 1)
(.f64 (.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))) 2) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(.f64 (sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))) (sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 3)
(pow.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 2)
(pow.f64 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) -1)
(log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 4 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
(pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2)
(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))
(fma.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) 1)
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2)
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) 1)
(.f64 1 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) 2) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2)) (-.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 3) -1/64) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3)) (+.f64 (pow.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) 2) (-.f64 (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2) (.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))) (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(log.f64 (exp.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(fma.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 1 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) -1/4 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)))) (sqrt.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))))) 1)
(/.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))) 2)
(log.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))) 1)
(.f64 1 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) -2)) (/.f64 1 (cbrt.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2))) (sqrt.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 1 (.f64 (PI.f64) 1/2)) (/.f64 1 f))
(.f64 (/.f64 1 f) (/.f64 1 (.f64 (PI.f64) 1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2) -1) (pow.f64 (cbrt.f64 (.f64 f (*.f64 (PI.f64) 1/2))) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) -1) (pow.f64 (sqrt.f64 (.f64 f (*.f64 (PI.f64) 1/2))) -1))
(.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2)
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) -1)
(pow.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1) -1)
(log.f64 (exp.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))))
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(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 3) (pow.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 3) (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))

simplify182.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1142×	`associate-r`
978×	`associate-l`
856×	`fma-def`
514×	`sqr-pow`
438×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	813	22533
1	2023	17689

Stop Event

1×	node limit

Counts

465 → 482

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
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(+.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 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 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))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 f 2) (.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))) (PI.f64))) (+.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)))))
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(+.f64 (.f64 4 (/.f64 (log.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))))))) (PI.f64))) (.f64 8 (/.f64 1 (.f64 f (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.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))))))) (PI.f64))) (.f64 8 (/.f64 1 (.f64 f (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 8 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (.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 4 (/.f64 (log.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))))))) (PI.f64))) (+.f64 (.f64 8 (/.f64 1 (.f64 f (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (.f64 32/3 (/.f64 1 (.f64 (pow.f64 f 3) (.f64 (PI.f64) (.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 8 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (.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 4 (/.f64 (log.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))))))) (PI.f64)))
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(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
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(neg.f64 (log.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2))))) 1))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
(log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2))))
(.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 3) (pow.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 3) (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))

Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
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(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(log.f64 (pow.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))))
(log.f64 (pow.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))))
(log.f64 (pow.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1))
(log.f64 (pow.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)))
(.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))))
(.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 2 (/.f64 1 (.f64 (PI.f64) f)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f))) 2)) (cbrt.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 1)
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 3)
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 3) 1/3)
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) 2)
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) -1)
(/.f64 1 (.f64 (/.f64 f 2) (/.f64 (.f64 (PI.f64) 1/2) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(/.f64 1 (.f64 (.f64 (PI.f64) 1/4) (/.f64 f (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2))) 3))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 3) (pow.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)) 3) (*.f64 8 (pow.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 3))))
(cbrt.f64 (.f64 8 (.f64 (pow.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 3) (pow.f64 (.f64 2 (/.f64 1 (.f64 (PI.f64) f))) 3))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 3) (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3)))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(*.f64 f (log.f64 (pow.f64 (exp.f64 1/2) (PI.f64))))
(.f64 f (.f64 (PI.f64) (log.f64 (exp.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 1/2 f))

eval261.0ms (0.8%)

Compiler: Compiled 13130 to 9855 computations (24.9% saved)

prune101.0ms (0.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	467	15	482
Fresh	0	2	2
Picked	4	1	5
Done	0	0	0
Total	471	18	489

Accuracy

97.7%

Counts

489 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.0%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
▶	96.6%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
▶	0.7%	(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
	96.6%	(neg.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	96.4%	(neg.f64 (/.f64 1 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
✓	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	5.8%	(neg.f64 (.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))))
	75.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
▶	95.2%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))

Compiler

Compiled 591 to 487 computations (17.6% saved)

localize591.0ms (1.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)

Compiler

Compiled 306 to 186 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

Operation ival-log, time spent: 88.0ms, 30.0% of total-time

Operation ival-div, time spent: 79.0ms, 27.0% of total-time

Operation ival-mult, time spent: 59.0ms, 20.0% of total-time

Operation ival-add, time spent: 16.0ms, 5.0% of total-time

Operation ival-log1p, time spent: 14.0ms, 5.0% of total-time

Operation const, time spent: 13.0ms, 4.0% of total-time

Operation ival-neg, time spent: 7.0ms, 2.0% of total-time

Operation ival-expm1, time spent: 6.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 5.0ms, 2.0% of total-time

Operation ival-pow, time spent: 5.0ms, 2.0% of total-time

Operation ival-pi, time spent: 2.0ms, 1.0% of total-time

series0.0ms (0%)

Counts: 5 → 0

rewrite117.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`prod-diff`
922×	`log-prod`
737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
564×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	15
1	24	15
2	234	15
3	2380	15

Stop Event

1×	node limit

Counts

5 → 315

Calls

Call 1

Inputs
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)

Outputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)

simplify195.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1654×	`log-prod`
1012×	`associate-+l+`
978×	`associate-+r+`
514×	`unswap-sqr`
446×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	4005
1	359	3805
2	1415	3725
3	6903	3725

Stop Event

1×	node limit

Counts

315 → 85

Calls

Call 1

Inputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
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(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)

Outputs
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(.f64 2 (.f64 1/2 (PI.f64)))
(PI.f64)
(.f64 1/3 (.f64 3 (PI.f64)))
(PI.f64)
(.f64 3 (.f64 1/3 (PI.f64)))
(PI.f64)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (PI.f64)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(.f64 2 (.f64 1/2 (PI.f64)))
(PI.f64)
(.f64 1/3 (.f64 3 (PI.f64)))
(PI.f64)
(.f64 3 (.f64 1/3 (PI.f64)))
(PI.f64)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
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eval372.0ms (1.2%)

Compiler: Compiled 18971 to 13354 computations (29.6% saved)

prune190.0ms (0.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	848	2	850
Fresh	1	11	12
Picked	1	4	5
Done	0	1	1
Total	850	18	868

Accuracy

97.7%

Counts

868 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	96.6%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
✓	0.7%	(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
▶	96.6%	(neg.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	96.4%	(neg.f64 (/.f64 1 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
✓	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
▶	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
▶	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	5.8%	(neg.f64 (.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))))
▶	75.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
✓	95.2%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))

Compiler

Compiled 537 to 440 computations (18.1% saved)

localize580.0ms (1.8%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.4%	(.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))
✓	98.5%	(pow.f64 (PI.f64) 3)
✓	98.5%	(cbrt.f64 (pow.f64 (PI.f64) 3))
	97.4%	(PI.f64)
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
✓	98.2%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
	97.4%	(PI.f64)
✓	99.5%	(/.f64 4 (*.f64 (PI.f64) f))
	97.4%	(PI.f64)
✓	92.0%	(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
✓	78.8%	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
	97.4%	(PI.f64)
✓	99.5%	(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f))
✓	99.5%	(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
✓	99.5%	(/.f64 (PI.f64) (/.f64 4 f))
	97.4%	(PI.f64)

Compiler

Compiled 362 to 216 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

Operation ival-div, time spent: 119.0ms, 30.0% of total-time

Operation ival-log, time spent: 77.0ms, 20.0% of total-time

Operation ival-mult, time spent: 64.0ms, 16.0% of total-time

Operation ival-pow, time spent: 41.0ms, 10.0% of total-time

Operation ival-log1p, time spent: 19.0ms, 5.0% of total-time

Operation ival-add, time spent: 18.0ms, 5.0% of total-time

Operation const, time spent: 14.0ms, 4.0% of total-time

Operation ival-expm1, time spent: 13.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 10.0ms, 3.0% of total-time

Operation ival-cosh, time spent: 9.0ms, 2.0% of total-time

Operation ival-neg, time spent: 6.0ms, 2.0% of total-time

Operation ival-pi, time spent: 2.0ms, 1.0% of total-time

series183.0ms (0.6%)

Counts

15 → 120

Calls

39 calls:

Time	Variable		Point	Expression
78.0ms	f	@	inf	(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
28.0ms	f	@	-inf	(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
24.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
20.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
20.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))

rewrite302.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`expm1-udef`
476×	`associate-r`
310×	`associate-l`
274×	`frac-times`
252×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	415
1	713	415
2	7977	415

Stop Event

1×	node limit

Counts

15 → 548

Calls

Call 1

Inputs
(/.f64 (PI.f64) (/.f64 4 f))
(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (.f64 (PI.f64) 1/4) f)
(.f64 (.f64 (PI.f64) f) 1/4)
(.f64 1 (.f64 (PI.f64) (*.f64 f 1/4)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (*.f64 f 1/4)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16)) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) f))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 f 1/4)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (.f64 (sqrt.f64 (PI.f64)) 1/2) f))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 -4 f)))
(.f64 (.f64 f 1/4) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 f 1/4)) 1)
(.f64 -1/4 (.f64 (PI.f64) (neg.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 4 f))))
(*.f64 (/.f64 1 (/.f64 2 (sqrt.f64 f))) (/.f64 (PI.f64) (/.f64 2 (sqrt.f64 f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 4) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 4 f)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 4 f)) 2)) (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 2 (sqrt.f64 f))) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 2 (sqrt.f64 f))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 4) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 4 f)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 4 f)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 4 f))))
(.f64 (/.f64 (PI.f64) 1) (.f64 f 1/4))
(*.f64 (/.f64 (PI.f64) -4) (neg.f64 f))
(.f64 (.f64 (*.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(.f64 (.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(neg.f64 (/.f64 (PI.f64) (/.f64 -4 f)))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 4 f) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))) 1)
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))))
(.f64 1 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 2)) (.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(.f64 (cbrt.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64))) 1/2))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (PI.f64)) 1/2)))
(.f64 (neg.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (/.f64 1 (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)) 4)
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 2)) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))))) 1/4))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 2)) 1/4) (/.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 2)) (.f64 (sqrt.f64 (PI.f64)) 1/2)) (/.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))))) 1/4))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 4) (/.f64 1 (PI.f64)))
(.f64 (.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
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(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))

simplify278.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1236×	`times-frac`
948×	`associate-/l*`
808×	`associate-*r/`
750×	`associate-*l/`
544×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	969	27214
1	2408	26050

Stop Event

1×	node limit

Counts

668 → 597

Calls

Call 1

Inputs
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(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
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(.f64 1/4 (.f64 f (PI.f64)))
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(.f64 (.f64 4 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) -2))) (cbrt.f64 (/.f64 (/.f64 1 f) (PI.f64))))
(.f64 (.f64 4 (pow.f64 (.f64 (PI.f64) f) -1/2)) (pow.f64 (.f64 (PI.f64) f) -1/2))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) -2) 16))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.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 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 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))))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))) 1)
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (neg.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) 1/4)
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (PI.f64)) 1/2)) (.f64 (sqrt.f64 (PI.f64)) 1/2))
(/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) 4) (PI.f64))
(/.f64 (.f64 4 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) -1) (.f64 (PI.f64) -1/4))
(/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) -4) (neg.f64 (PI.f64)))
(/.f64 (.f64 -1 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4))
(/.f64 (.f64 -4 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (.f64 (PI.f64) 1/4)))
(pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 2))
(log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))

Outputs
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(fma.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)) (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.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)))) (PI.f64))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(fma.f64 -2 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (fma.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))
(fma.f64 -2 (/.f64 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 (PI.f64) (pow.f64 f 3))) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 1/8 (*.f64 (PI.f64) (pow.f64 f 2)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.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)))) (PI.f64))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 4) (+.f64 (.f64 -12 (+.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 -3/256 (pow.f64 (PI.f64) 4)))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(fma.f64 -2 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (fma.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)) (fma.f64 1/6 (/.f64 (pow.f64 f 4) (/.f64 (PI.f64) (fma.f64 -12 (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192))) (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (.f64 (pow.f64 (PI.f64) 4) -3/256)))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))))
(fma.f64 -2 (/.f64 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 (PI.f64) (pow.f64 f 3))) (fma.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)) (fma.f64 1/6 (/.f64 (fma.f64 -12 (fma.f64 (.f64 (PI.f64) -1/4) (fma.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192)) (fma.f64 (.f64 -1/32 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) -1/32) (.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (.f64 (pow.f64 (PI.f64) 4) -3/256)) (/.f64 (PI.f64) (pow.f64 f 4))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 (.f64 2 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))) (PI.f64))) (log.f64 f))) (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 (.f64 2 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))) (PI.f64))) (log.f64 f))) (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 (.f64 2 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))) (PI.f64))) (log.f64 f))) (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 (.f64 2 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))) (PI.f64))) (log.f64 f))) (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(PI.f64)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(fabs.f64 (pow.f64 (PI.f64) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))) 1)
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 1 (.f64 1/4 (PI.f64))) (log.f64 (fma.f64 (*.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 1/4 (PI.f64)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (.f64 1/4 (PI.f64))) (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (/.f64 (PI.f64) (/.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)))) 1/4)))
(/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)))) (.f64 1/4 (PI.f64))) (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (neg.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) (PI.f64))
(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 1/4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) 1/4)
(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 1/4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (PI.f64)) 1/2)) (.f64 (sqrt.f64 (PI.f64)) 1/2))
(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 1/4 (PI.f64)))
(/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) 4) (PI.f64))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 4 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) -1) (.f64 (PI.f64) -1/4))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) -4) (neg.f64 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 -1 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 -4 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 1/4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 (cbrt.f64 (.f64 1/4 (PI.f64))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))))
(pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1)
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 3)
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3) 1/3)
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 2)
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 2))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))) 2))
(fabs.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) -1))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))) 1))
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 f (PI.f64)) 1/8 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) -1))

eval3.8s (11.9%)

Compiler: Compiled 139473 to 97129 computations (30.4% saved)

prune1.4s (4.5%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	5844	10	5854
Fresh	3	5	8
Picked	1	4	5
Done	1	4	5
Total	5849	23	5872

Accuracy

97.7%

Counts

5872 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.6%	(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))
	96.1%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	96.6%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
✓	0.7%	(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
	96.6%	(neg.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
	96.4%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) 1)))
✓	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.5%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
✓	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
✓	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.5%	(neg.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
	5.8%	(neg.f64 (.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))))
	75.4%	(neg.f64 (log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
✓	75.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
✓	95.2%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))

Compiler

Compiled 970 to 730 computations (24.7% saved)

regimes78.0ms (0.2%)

Counts

35 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (/.f64 1 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) 1)))
(neg.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
(neg.f64 (log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/8 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (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 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.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))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))

Calls

6 calls:

20.0ms	f
20.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
17.0ms	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
9.0ms	(/.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)))))
5.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

Accuracy	Segments	Branch
96.7%	1	`f`
96.7%	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))))))))`
96.7%	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)))))))`
96.7%	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))))))`
96.7%	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)))))`
96.7%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes14.0ms (0%)

Counts

17 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (/.f64 1 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) 1)))
(neg.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))

Outputs
(neg.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (/.f64 1 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) 1)))

Outputs
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))

Outputs
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))

Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
0.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

178×	`neg-mul-1`
154×	`distribute-lft-neg-in`
124×	`unsub-neg`
92×	`distribute-lft-neg-out`
86×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	222
1	86	222
2	130	222
3	159	218
4	187	218
5	212	218
6	226	218
7	289	218
8	469	218
9	660	218

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))

Outputs
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(/.f64 (neg.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 4)) (PI.f64))
(/.f64 (.f64 4 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 (PI.f64) f)) (/.f64 1 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 (PI.f64) f)) (/.f64 1 (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (neg.f64 4)) (PI.f64))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 0)) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 0))) (PI.f64))
(/.f64 (*.f64 (log.f64 0) (neg.f64 4)) (PI.f64))
(/.f64 (*.f64 4 (neg.f64 (log.f64 0))) (PI.f64))

Compiler

Compiled 66 to 55 computations (16.7% saved)

soundness1.4s (4.5%)

Rules

1344×	`times-frac`
1344×	`times-frac`
1344×	`times-frac`
1314×	`fma-def`
1314×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	423	3549
2	1634	3244
0	813	22533
1	2023	17689
0	142	3777
1	423	3549
2	1634	3244
0	51	611
1	954	611
0	813	22533
1	2023	17689
0	142	3777
1	423	3549
2	1634	3244
0	51	611
1	954	611
0	813	22533
1	2023	17689

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 941 to 701 computations (25.5% saved)

end0.0ms (0%)

preprocess70.0ms (0.2%)

Compiler: Compiled 200 to 150 computations (25% saved)

Iter	Nodes	Cost
0	46	222
1	86	222
2	130	222
3	159	218
4	187	218
5	212	218
6	226	218
7	289	218
8	469	218
9	660	218

Iter	Nodes	Cost
0	46	222
1	86	222
2	130	222
3	159	218
4	187	218
5	212	218
6	226	218
7	289	218
8	469	218
9	660	218

analyze383.0ms (1.2%)

sample14.7s (46.2%)

preprocess3.1s (9.7%)

eval5.0ms (0%)

prune2.0ms (0%)

localize1.3s (4.1%)

series137.0ms (0.4%)

rewrite202.0ms (0.6%)

simplify78.0ms (0.2%)

eval75.0ms (0.2%)

prune21.0ms (0.1%)

localize1.0s (3.2%)

series426.0ms (1.3%)

rewrite144.0ms (0.5%)

simplify182.0ms (0.6%)

eval261.0ms (0.8%)

prune101.0ms (0.3%)

localize591.0ms (1.9%)

series0.0ms (0%)

rewrite117.0ms (0.4%)

simplify195.0ms (0.6%)

eval372.0ms (1.2%)

prune190.0ms (0.6%)

localize580.0ms (1.8%)

series183.0ms (0.6%)

rewrite302.0ms (0.9%)

simplify278.0ms (0.9%)

eval3.8s (11.9%)

prune1.4s (4.5%)

regimes78.0ms (0.2%)

regimes14.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify22.0ms (0.1%)

soundness1.4s (4.5%)

end0.0ms (0%)

preprocess70.0ms (0.2%)

Profiling

Iter	Nodes	Cost
0	46	222
1	86	222
2	130	222
3	159	218
4	187	218
5	212	218
6	226	218
7	289	218
8	469	218
9	660	218