Metrics for VandenBroeck and Keller, Equation (20)

analyze442.0ms (1.5%)

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
8.3%	3.9%	43.3%	0%	0%	28.5%	24.2%	9
8.7%	4.1%	43.1%	0%	0%	28.5%	24.2%	10
9.1%	4.3%	42.9%	0%	0%	28.6%	24.2%	11
9.1%	4.3%	42.8%	0%	0%	28.6%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

Operation ival-div, time spent: 81.0ms, 28.0% of total-time

Operation ival-mult, time spent: 63.0ms, 22.0% of total-time

Operation ival-exp, time spent: 45.0ms, 16.0% of total-time

Operation ival-add, time spent: 26.0ms, 9.0% of total-time

Operation ival-neg, time spent: 22.0ms, 8.0% of total-time

Operation ival-log, time spent: 21.0ms, 7.0% of total-time

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

Operation ival-pi, time spent: 9.0ms, 3.0% of total-time

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

sample13.1s (44.6%)

Results

3.7s	4044×	1024	valid
2.9s	3812×	1024	invalid
1.9s	2066×	512	valid
1.3s	1958×	512	invalid
645.0ms	1790×	256	valid
265.0ms	1055×	256	invalid
616.0ms	355×	2048	valid
2.0ms	11×	256	unsamplable
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 8.9s

Operation ival-div, time spent: 2.7s, 30.0% of total-time

Operation ival-exp, time spent: 2.0s, 22.0% of total-time

Operation ival-mult, time spent: 1.8s, 21.0% of total-time

Operation ival-log, time spent: 751.0ms, 8.0% of total-time

Operation ival-neg, time spent: 669.0ms, 8.0% of total-time

Operation ival-pi, time spent: 370.0ms, 4.0% of total-time

Operation ival-add, time spent: 239.0ms, 3.0% of total-time

Operation ival-sub, time spent: 208.0ms, 2.0% of total-time

Operation const, time spent: 160.0ms, 2.0% of total-time

Bogosity

preprocess2.6s (8.9%)

Algorithm

1×	egg-herbie

Rules

1254×	`fma-define`
778×	`times-frac`
668×	`fma-neg`
630×	`associate-/r*`
580×	`log-prod`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
245	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
7	-	-	`(/.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	-	-	`(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	-	-	`(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	-	-	`4`
0	-	-	`1`
0	-	-	`(/.f64 1 (/.f64 (PI.f64) 4))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	484
2	269	484
3	800	484
4	2639	484
5	7787	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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(.f64 (neg.f64 (.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) 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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))))

Compiler

Compiled 434 to 320 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

Operation ival-exp, time spent: 471.0ms, 28.0% of total-time

Operation ival-mult, time spent: 449.0ms, 27.0% of total-time

Operation ival-div, time spent: 344.0ms, 21.0% of total-time

Operation ival-sub, time spent: 156.0ms, 9.0% of total-time

Operation ival-log, time spent: 102.0ms, 6.0% of total-time

Operation ival-neg, time spent: 90.0ms, 5.0% of total-time

Operation ival-add, time spent: 32.0ms, 2.0% of total-time

Operation const, time spent: 25.0ms, 1.0% of total-time

Operation ival-pi, time spent: 7.0ms, 0.0% of total-time

eval3.0ms (0%)

Compiler: Compiled 166 to 115 computations (30.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(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

▶

6.2%

(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)

localize991.0ms (3.4%)

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)))))))
✓	97.0%	(/.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)))))
✓	11.1%	(-.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: 624.0ms

Operation ival-exp, time spent: 190.0ms, 30.0% of total-time

Operation ival-div, time spent: 176.0ms, 28.0% of total-time

Operation ival-mult, time spent: 116.0ms, 19.0% of total-time

Operation ival-log, time spent: 50.0ms, 8.0% of total-time

Operation ival-neg, time spent: 39.0ms, 6.0% of total-time

Operation ival-sub, time spent: 21.0ms, 3.0% of total-time

Operation ival-add, time spent: 16.0ms, 3.0% of total-time

Operation const, time spent: 13.0ms, 2.0% of total-time

Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series106.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	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)))))))
41.0ms	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)))))))
5.0ms	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)))))))
5.0ms	f	@	inf	(/.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)))))

rewrite152.0ms (0.5%)

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	5585	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

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-define`
1066×	`times-frac`
994×	`fma-neg`
628×	`distribute-lft-in`
624×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	423	3549
2	1602	3244
3	7806	3244

Stop Event

1×	node limit

Counts

112 → 61

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))
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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

eval80.0ms (0.3%)

Compiler: Compiled 2852 to 2156 computations (24.4% saved)

prune30.0ms (0.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	56	11	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	11	68

Accuracy

96.7%

Counts

68 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
▶	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	95.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	96.1%	(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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
▶	96.3%	(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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))
	6.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
	95.4%	(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))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
	95.4%	(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)))))))))))
▶	95.4%	(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
	6.2%	(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 696 to 552 computations (20.7% saved)

localize1.5s (5%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.4%	(fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))
✓	98.4%	(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
✓	100.0%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓	100.0%	(.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)))) 16)))
	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	97.3%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.4%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	97.5%	(pow.f64 (PI.f64) 7)
✓	97.4%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))

Compiler

Compiled 767 to 572 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

Operation ival-mult, time spent: 258.0ms, 25.0% of total-time

Operation ival-pow, time spent: 197.0ms, 19.0% of total-time

Operation ival-div, time spent: 186.0ms, 18.0% of total-time

Operation composed, time spent: 115.0ms, 11.0% of total-time

Operation ival-log, time spent: 99.0ms, 10.0% of total-time

Operation ival-exp, time spent: 60.0ms, 6.0% of total-time

Operation ival-add, time spent: 47.0ms, 5.0% of total-time

Operation const, time spent: 30.0ms, 3.0% of total-time

Operation ival-neg, time spent: 23.0ms, 2.0% of total-time

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

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

series205.0ms (0.7%)

Counts

16 → 116

Calls

30 calls:

Time	Variable		Point	Expression
42.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
27.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
24.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
22.0ms	f	@	0	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))
16.0ms	f	@	-inf	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))

rewrite177.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`cbrt-prod`
405×	`log1p-expm1-u`
405×	`expm1-log1p-u`
401×	`add-exp-log`
396×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	571
1	979	565

Stop Event

1×	node limit

Counts

16 → 297

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))
(-.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)))) 16))
(.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)))) 16)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
(fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)

Outputs
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (/.f64 1 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))))
(+.f64 0 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 2)) (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680)))))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))) 1))
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(.f64 1 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16))) 2) (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(.f64 (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16))) (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16)) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16))) 2)
(neg.f64 (log.f64 (/.f64 16 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16)) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16))))
(log1p.f64 (-.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16) 1))
(exp.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))) 1)
(/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16)) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 2)
(log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16) (/.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) 1/4) f))) 1/16))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))))
(log1p.f64 (-.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/16)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 3)) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (.f64 (.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 3)))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/96 (.f64 (PI.f64) 2)))) 1)
(pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (.f64 1/96 (.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 1/96 (.f64 (PI.f64) 2))) 2)
(log.f64 (pow.f64 (exp.f64 1/96) (*.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/96 (.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/96 (*.f64 (PI.f64) 2))) 1))
(+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (*.f64 (PI.f64) 2) 1/16))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)))) 1)
(.f64 1 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) 2) (cbrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16))))
(.f64 (sqrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) (sqrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16))))
(pow.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) 2)
(log.f64 (exp.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(exp.f64 (log.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))))) 1)
(/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 2)
(log.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))

simplify234.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-r`
1194×	`associate-l`
934×	`fma-define`
492×	`sqr-pow`
472×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	880	20375
1	2323	18923

Stop Event

1×	node limit

Counts

413 → 469

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3/2 (.f64 (PI.f64) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
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(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(/.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)))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 2)) (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680)))))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 7))) 1)
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (cbrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 7)) (sqrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 7) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 7) (pow.f64 (sqrt.f64 (PI.f64)) 7))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 7))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 7) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 7 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 7 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.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))
(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)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
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(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (.f64 (.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 3)))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/96 (.f64 (PI.f64) 2)))) 1)
(pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (.f64 1/96 (.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 1/96 (.f64 (PI.f64) 2))) 2)
(log.f64 (pow.f64 (exp.f64 1/96) (*.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/96 (.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/96 (*.f64 (PI.f64) 2))) 1))
(+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (*.f64 (PI.f64) 2) 1/16))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)))) 1)
(.f64 1 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) 2) (cbrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16))))
(.f64 (sqrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) (sqrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16))))
(pow.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))) 2)
(log.f64 (exp.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(exp.f64 (log.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))))) 1)
(/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 2)
(log.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))

Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 1/2 (.f64 f (.f64 (PI.f64) 0))))
(+.f64 (.f64 f 0) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
(+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 0)) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))))))
(+.f64 (fma.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3/2 (.f64 (PI.f64) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
(+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -3/4 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) 0) (.f64 (PI.f64) 1/12))) (fma.f64 1/4 (pow.f64 (.f64 (PI.f64) 0) 3) (.f64 3/2 (.f64 (PI.f64) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 0) (PI.f64))) (.f64 -1/48 (.f64 (PI.f64) (.f64 (PI.f64) 0))))))))) (.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 0)) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12)))))))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 3/2 (+.f64 (.f64 (/.f64 0 (PI.f64)) (PI.f64)) 0) 0)) (fma.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0))) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(+.f64 (log.f64 (.f64 41287680 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 7)))) (.f64 7 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (.f64 41287680 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (neg.f64 (log.f64 f))))
(+.f64 (log.f64 (/.f64 (.f64 41287680 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)))) (pow.f64 (PI.f64) 7))) (*.f64 (log.f64 f) -7))
(-.f64 (+.f64 (log.f64 (.f64 41287680 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 7)))) (.f64 7 (log.f64 (/.f64 1 f)))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (.f64 41287680 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (PI.f64) 7)))) (-.f64 (.f64 7 (neg.f64 (log.f64 f))) (/.f64 672 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 (.f64 41287680 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)))) (pow.f64 (PI.f64) 7))) (+.f64 (.f64 (log.f64 f) -7) (/.f64 -672 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (.f64 41287680 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 -1/1720320 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (+.f64 (.f64 -18644855685120 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11))) (.f64 8878502707200 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11))))) (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (.f64 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (.f64 7 (log.f64 (/.f64 1 f))))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680)))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 1)
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) 3)
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 3) 1/3)
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))) 2)
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680)))))) 3))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))) 1))
(log1p.f64 (+.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))) -1))
(log1p.f64 (fma.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))) -1))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 f (PI.f64)) 7) 1/41287680))))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))) 1))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 7))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(*.f64 1 (pow.f64 (PI.f64) 7))
(pow.f64 (PI.f64) 7)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (cbrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 7)) (sqrt.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 7) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 7) (pow.f64 (sqrt.f64 (PI.f64)) 7))
(pow.f64 (sqrt.f64 (PI.f64)) 14)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (PI.f64) 7)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 7))))
(pow.f64 (PI.f64) 7)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 7) 3))
(pow.f64 (PI.f64) 7)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (PI.f64) 7)
(exp.f64 (*.f64 7 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 7)
(exp.f64 (.f64 (.f64 7 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 7)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 2)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
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(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
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(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
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(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(/.f64 1 (*.f64 (/.f64 f 4) (PI.f64)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (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 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 4 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))
(/.f64 4 (*.f64 (PI.f64) f))

eval474.0ms (1.6%)

Compiler: Compiled 19865 to 15149 computations (23.7% saved)

prune196.0ms (0.7%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	518	25	543
Fresh	3	3	6
Picked	4	1	5
Done	0	0	0
Total	525	29	554

Accuracy

97.0%

Counts

554 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(neg.f64 (fma.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
	94.4%	(neg.f64 (pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3))
	94.9%	(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
	94.6%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
	94.1%	(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
	95.5%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
▶	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
▶	96.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
	94.2%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
	95.0%	(neg.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 4 (PI.f64))))
▶	94.1%	(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64))))
▶	96.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
▶	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
	96.1%	(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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
	6.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
	96.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))))
✓	95.4%	(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
	95.4%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
	94.0%	(neg.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
	94.1%	(neg.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
	95.0%	(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (/.f64 4 (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
	6.2%	(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))))
	77.0%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	94.2%	(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	94.1%	(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	95.0%	(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))

Compiler

Compiled 1307 to 1069 computations (18.2% saved)

localize1.8s (6.1%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))
✓	98.4%	(.f64 1/96 (.f64 (PI.f64) 2))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64)))
✓	99.3%	(cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.9%	(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.4%	(+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (*.f64 (PI.f64) 2) 1/16))
✓	98.4%	(.f64 1/96 (.f64 (PI.f64) 2))
✓	98.4%	(pow.f64 (PI.f64) 5)
	98.4%	(pow.f64 (PI.f64) 3)
	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	97.3%	(log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))

Compiler

Compiled 700 to 520 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.3s

Operation ival-pow, time spent: 430.0ms, 33.0% of total-time

Operation ival-mult, time spent: 376.0ms, 29.0% of total-time

Operation ival-log, time spent: 148.0ms, 11.0% of total-time

Operation composed, time spent: 129.0ms, 10.0% of total-time

Operation ival-div, time spent: 103.0ms, 8.0% of total-time

Operation ival-add, time spent: 47.0ms, 4.0% of total-time

Operation const, time spent: 31.0ms, 2.0% of total-time

Operation ival-cosh, time spent: 12.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 10.0ms, 1.0% of total-time

Operation ival-neg, time spent: 6.0ms, 0.0% of total-time

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

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

series124.0ms (0.4%)

Counts

11 → 72

Calls

18 calls:

Time	Variable		Point	Expression
74.0ms	f	@	inf	(log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
21.0ms	f	@	-inf	(log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
7.0ms	f	@	0	(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
3.0ms	f	@	inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
3.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)

rewrite240.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u`
468×	`associate-r`
340×	`associate-l`
220×	`expm1-log1p-u`
218×	`cbrt-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	371
1	616	335
2	6978	335

Stop Event

1×	node limit

Counts

11 → 312

Calls

Call 1

Inputs
(log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (PI.f64) 5)
(.f64 1/96 (.f64 (PI.f64) 2))
(+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (*.f64 (PI.f64) 2) 1/16))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64)))
(.f64 1/96 (.f64 (PI.f64) 2))
(fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16))
(/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4))

Outputs
(+.f64 (log.f64 2) (log.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(+.f64 (log.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2))
(+.f64 0 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)) (log.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (.f64 (log.f64 2) 1) (.f64 (log.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))) 1)
(.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1)
(.f64 1 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(.f64 (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2) (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
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(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) (.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) 2) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (neg.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 1 (PI.f64)) (.f64 4 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) 4)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) (.f64 (sqrt.f64 (PI.f64)) 1/2)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2)) (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) 4) (/.f64 1 (PI.f64)))
(.f64 (.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 4 (PI.f64)))
(.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) (neg.f64 (PI.f64))) -4)
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) 2)
(pow.f64 (.f64 (PI.f64) (/.f64 1/4 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) -1)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2))
(log.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 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 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) 1))

simplify363.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1250×	`log-prod`
838×	`associate-r`
810×	`associate-l`
470×	`*-commutative`
446×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	690	19764
1	1768	16096
2	6328	16060

Stop Event

1×	node limit

Counts

384 → 395

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/2 (.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))))) (.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/2 (.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))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.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))))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.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 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2) (.f64 (sqrt.f64 (PI.f64)) 1/2)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2)) (cbrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) 4) (/.f64 1 (PI.f64)))
(.f64 (.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 4 (PI.f64)))
(.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) (neg.f64 (PI.f64))) -4)
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) 2)
(pow.f64 (.f64 (PI.f64) (/.f64 1/4 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))) -1)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2))
(log.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 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 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) 1))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))
(fma.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/2 (.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))))) (.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/2 (.f64 (pow.f64 f 3) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (fma.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (log.f64 2)) (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (*.f64 -1/2 (pow.f64 f 3))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/2 (.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))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.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))))))))
(+.f64 (log.f64 2) (fma.f64 -1/2 (.f64 (pow.f64 f 3) (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 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (.f64 1/24 (.f64 (pow.f64 f 4) (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 (log.f64 2) (fma.f64 -1/2 (.f64 (pow.f64 f 3) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (fma.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (.f64 (fma.f64 -12 (fma.f64 -1/4 (+.f64 (.f64 (pow.f64 (PI.f64) 4) -1/192) (.f64 -1/4 (.f64 (pow.f64 (PI.f64) 4) -1/32))) (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 4) -1/32) (.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (.f64 (pow.f64 (PI.f64) 4) -3/256)) (.f64 1/24 (pow.f64 f 4))))))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(.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 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12)))
(fma.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
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(neg.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 2))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))) 2))
(fabs.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(log.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f))))) 3))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (.f64 (PI.f64) f)))))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) 1))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) 1/8 (.f64 1/96 (.f64 (PI.f64) -4))) (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))

eval483.0ms (1.6%)

Compiler: Compiled 20800 to 15831 computations (23.9% saved)

prune133.0ms (0.5%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	676	7	683
Fresh	6	17	23
Picked	3	2	5
Done	0	1	1
Total	685	27	712

Accuracy

97.0%

Counts

712 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(neg.f64 (fma.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
	94.9%	(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
▶	94.1%	(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
	95.5%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
✓	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
	95.4%	(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.0%	(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
✓	94.1%	(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
	96.1%	(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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
	6.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
▶	96.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))))
✓	95.4%	(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
	95.3%	(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
▶	95.2%	(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
▶	95.4%	(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
▶	95.4%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
	94.0%	(neg.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
	94.1%	(neg.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
	95.0%	(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (/.f64 4 (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
	96.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
	6.2%	(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))))
	77.0%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	94.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))))
	95.0%	(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))

Compiler

Compiled 1090 to 880 computations (19.3% saved)

localize1.2s (4.1%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.4%	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64)))))
✓	98.4%	(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))
✓	98.4%	(*.f64 (PI.f64) 1/12)
✓	98.4%	(sqrt.f64 (PI.f64))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	99.3%	(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.8%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
✓	99.6%	(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64)))
✓	99.2%	(cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
	98.4%	(pow.f64 (PI.f64) 5)
	98.4%	(pow.f64 (PI.f64) 3)
	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	97.4%	(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))

Compiler

Compiled 588 to 410 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

Operation ival-mult, time spent: 188.0ms, 26.0% of total-time

Operation ival-div, time spent: 135.0ms, 19.0% of total-time

Operation ival-pow, time spent: 110.0ms, 15.0% of total-time

Operation ival-log, time spent: 102.0ms, 14.0% of total-time

Operation composed, time spent: 91.0ms, 13.0% of total-time

Operation ival-add, time spent: 33.0ms, 5.0% of total-time

Operation const, time spent: 23.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 16.0ms, 2.0% of total-time

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

Operation ival-neg, time spent: 6.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 0.0% of total-time

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

series96.0ms (0.3%)

Counts

12 → 72

Calls

27 calls:

Time	Variable		Point	Expression
48.0ms	f	@	0	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64)))))
8.0ms	f	@	inf	(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
7.0ms	f	@	-inf	(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
6.0ms	f	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
3.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)

rewrite140.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`cbrt-prod`
348×	`log1p-expm1-u`
348×	`expm1-log1p-u`
345×	`add-exp-log`
341×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	460
1	858	450

Stop Event

1×	node limit

Counts

12 → 266

Calls

Call 1

Inputs
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64)))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(sqrt.f64 (PI.f64))
(*.f64 (PI.f64) 1/12)
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64)))))

Outputs
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (/.f64 1 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(+.f64 0 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))))
(+.f64 (log.f64 2) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 2)) (log.f64 (cbrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) (log.f64 (sqrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))))) 1)
(-.f64 0 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(.f64 1 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 2) (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(sqrt.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(log1p.f64 (-.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))) 1))
(exp.f64 (log.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) 3/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 1 f) 1/3))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 1 f)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6) (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (pow.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) 1/3) (pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 f))
(/.f64 (cbrt.f64 4) (cbrt.f64 (*.f64 (PI.f64) f)))
(/.f64 (cbrt.f64 (neg.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (neg.f64 (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) 3/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f)))
(+.f64 0 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f)))) (log.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(-.f64 0 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64))
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(/.f64 4 (neg.f64 (neg.f64 (PI.f64))))
(/.f64 1 (/.f64 (PI.f64) 4))
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(/.f64 -4 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 -2 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (sqrt.f64 (PI.f64)))))
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(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
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(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))) 1))

simplify275.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1390×	`log-prod`
988×	`associate-r`
858×	`associate-l`
556×	`fma-define`
494×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	728	18040
1	1863	17392
2	7307	17388

Stop Event

1×	node limit

Counts

338 → 375

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
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(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (/.f64 1 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
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(+.f64 (log.f64 2) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 2)) (log.f64 (cbrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
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(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))))) 1)
(-.f64 0 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(.f64 1 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 2) (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(sqrt.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(log1p.f64 (-.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))) 1))
(exp.f64 (log.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) 3/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 1 f) 1/3))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 1 f)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6) (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (pow.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) 1/3) (pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 f))
(/.f64 (cbrt.f64 4) (cbrt.f64 (*.f64 (PI.f64) f)))
(/.f64 (cbrt.f64 (neg.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (neg.f64 (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) 3/2)
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(log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
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(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))))
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(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))))
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Outputs
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(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 2)) (log.f64 (cbrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(.f64 3 (log.f64 (cbrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) (log.f64 (sqrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(-.f64 (log.f64 (.f64 -2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2)) (log.f64 (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(.f64 1 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 2) (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 1)
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 3)
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(pow.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 3) 1/3)
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(pow.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))) 2)
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))) (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(sqrt.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 2))
(sqrt.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 2))
(fabs.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))))
(cbrt.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))) 3))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(expm1.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(expm1.f64 (log1p.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(log1p.f64 (-.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))) 1))
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(exp.f64 (log.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))) 1))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))))
(log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4)) (neg.f64 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64))) 2)) 3/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2))
(fabs.f64 (.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
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(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
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(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 1 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
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(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 1 f) 1/3))
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(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 1 f)))
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(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6) (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/6))
(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
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(.f64 (cbrt.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)))
(.f64 (pow.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) 1/3) (pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 1/3))
(.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))))
(/.f64 1 (cbrt.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(/.f64 1 (cbrt.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (/.f64 f 4))))
(/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 f))
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(/.f64 (cbrt.f64 (neg.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (cbrt.f64 (neg.f64 f)))
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(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
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(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
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(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(fabs.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
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(cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1/3))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
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(expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))))
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(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
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(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
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(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
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(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) 1))
(*.f64 (PI.f64) 1/12)
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (PI.f64)))) 1)
(expm1.f64 (log1p.f64 (/.f64 4 (PI.f64))))
(/.f64 2 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2)))
(/.f64 2 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 2))
(*.f64 (/.f64 2 (PI.f64)) 2)
(/.f64 2 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (sqrt.f64 (PI.f64))))
(/.f64 2 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 2))
(*.f64 (/.f64 2 (PI.f64)) 2)
(/.f64 4 (PI.f64))
(/.f64 4 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 4 (PI.f64))
(/.f64 4 (neg.f64 (neg.f64 (PI.f64))))
(/.f64 4 (PI.f64))
(/.f64 1 (/.f64 (PI.f64) 4))
(/.f64 4 (PI.f64))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (PI.f64)) 2)))
(/.f64 4 (PI.f64))
(/.f64 -4 (neg.f64 (PI.f64)))
(/.f64 4 (PI.f64))
(/.f64 -4 (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 4 (PI.f64))
(/.f64 -4 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 4 (PI.f64))
(/.f64 -2 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 2 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 2))
(*.f64 (/.f64 2 (PI.f64)) 2)
(/.f64 -2 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) 2)))
(/.f64 2 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 2))
(*.f64 (/.f64 2 (PI.f64)) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 -1 (neg.f64 (/.f64 (PI.f64) 4)))
(/.f64 4 (PI.f64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2)) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (/.f64 4 (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 4 (PI.f64)) 1)
(/.f64 4 (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2)
(/.f64 4 (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 3)
(/.f64 4 (PI.f64))
(pow.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) 1/3)
(/.f64 4 (PI.f64))
(pow.f64 (/.f64 (PI.f64) 4) -1)
(/.f64 4 (PI.f64))
(sqrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2))
(fabs.f64 (/.f64 4 (PI.f64)))
(log.f64 (exp.f64 (/.f64 4 (PI.f64))))
(/.f64 4 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (PI.f64)))))
(/.f64 4 (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 3))
(/.f64 4 (PI.f64))
(cbrt.f64 (*.f64 (/.f64 8 (pow.f64 (PI.f64) 3/2)) (/.f64 8 (pow.f64 (PI.f64) 3/2))))
(/.f64 4 (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 4 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 4 (PI.f64))))
(/.f64 4 (PI.f64))
(exp.f64 (log.f64 (/.f64 4 (PI.f64))))
(/.f64 4 (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1))
(/.f64 4 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) 2))
(/.f64 4 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))) 1)
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))) 3)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))) 2)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2))
(fabs.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))

eval448.0ms (1.5%)

Compiler: Compiled 21255 to 15766 computations (25.8% saved)

prune152.0ms (0.5%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	764	6	770
Fresh	3	16	19
Picked	1	4	5
Done	0	3	3
Total	768	29	797

Accuracy

97.0%

Counts

797 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.9%	(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
✓	94.1%	(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
	95.5%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
✓	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
	95.4%	(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.0%	(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
	96.1%	(neg.f64 (+.f64 (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
✓	94.1%	(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
	96.1%	(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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
	6.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
✓	96.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))))
✓	95.4%	(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
	95.3%	(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
	95.4%	(neg.f64 (.f64 (.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3))) (/.f64 4 (PI.f64))))
✓	95.2%	(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
	95.4%	(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2)))
	94.3%	(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 3)))
✓	95.4%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
	94.0%	(neg.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
	94.1%	(neg.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
	96.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
	6.2%	(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))))
	95.2%	(neg.f64 (.f64 3 (.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
	77.5%	(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
	77.0%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	94.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))))

Compiler

Compiled 1720 to 1329 computations (22.7% saved)

regimes199.0ms (0.7%)

Counts

50 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.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 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 3 (.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (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 (.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3))) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 4 (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (fma.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.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)))) 16))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(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))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 3)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
(neg.f64 (pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3))
(neg.f64 (+.f64 (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(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))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))))
(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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))

Outputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))

Calls

6 calls:

123.0ms	(/.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)))))
28.0ms	f
25.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms	(.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)))))))
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Accuracy	Segments	Branch
96.3%	1	`f`
96.3%	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))))))))`
96.3%	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)))))))`
96.3%	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))))))`
96.3%	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)))))`
96.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes100.0ms (0.3%)

Counts

47 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.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 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 3 (.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (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 (.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3))) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 4 (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (fma.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.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)))) 16))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(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))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 3)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
(neg.f64 (pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3))
(neg.f64 (+.f64 (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(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))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))

Outputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))

Calls

6 calls:

33.0ms	(.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)))))))
22.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
22.0ms	f
6.0ms	(/.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)))))
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Accuracy	Segments	Branch
96.3%	1	`f`
96.3%	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))))))))`
96.3%	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)))))))`
96.3%	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))))))`
96.3%	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)))))`
96.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes73.0ms (0.2%)

Counts

46 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.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 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 3 (.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (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 (.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3))) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 4 (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (fma.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.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)))) 16))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(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))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 3)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
(neg.f64 (pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3))
(neg.f64 (+.f64 (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(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))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))

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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2))))))))

Calls

6 calls:

23.0ms	f
22.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(.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)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
96.1%	1	`f`
96.1%	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))))))))`
96.1%	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)))))))`
96.1%	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))))))`
96.1%	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)))))`
96.1%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes72.0ms (0.2%)

Counts

45 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.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 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 3 (.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (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 (.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3))) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2) (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 4 (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (fma.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (fma.f64 f (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.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)))) 16))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(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))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 3)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 2)))
(neg.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
(neg.f64 (pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2 (.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3))
(neg.f64 (+.f64 (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(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))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))

Outputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))

Calls

6 calls:

23.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
21.0ms	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)))))
7.0ms	(.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)))))))
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Accuracy	Segments	Branch
96.1%	1	`f`
96.1%	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))))))))`
96.1%	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)))))))`
96.1%	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))))))`
96.1%	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)))))`
96.1%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes10.0ms (0%)

Counts

14 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.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 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 3 (.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (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 (.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/3))) (/.f64 4 (PI.f64))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts

12 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.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 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (.f64 3 (.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
95.5%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
95.4%	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 1/8)) (PI.f64)))

Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

380×	`unsub-neg`
298×	`neg-mul-1`
114×	`distribute-lft-neg-in`
114×	`distribute-neg-out`
112×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	714
1	180	714
2	277	714
3	339	698
4	397	698
5	546	698
6	729	698
7	878	698
8	1025	698

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (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 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 f (PI.f64)) 7) 1/41287680))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))) (neg.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (.f64 (PI.f64) f) 7) 1/41287680))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680))))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))))
(.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))) (/.f64 1 (/.f64 (PI.f64) (neg.f64 4))))
(.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (*.f64 (PI.f64) f) 7) 1/41287680)))))) (/.f64 -1 (/.f64 (PI.f64) 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)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (neg.f64 4))
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))) (PI.f64))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (neg.f64 (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/8)) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 1/8)) (neg.f64 (PI.f64)))

Compiler

Compiled 204 to 164 computations (19.6% saved)

soundness2.9s (10%)

Rules

1332×	`fma-define`
1332×	`fma-define`
1332×	`fma-define`
1332×	`fma-define`
1332×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	423	3549
2	1602	3244
3	7806	3244
0	63	571
1	979	565
0	20	112
1	313	112
2	5585	112
0	880	20375
1	2323	18923
0	142	3777
1	423	3549
2	1602	3244
3	7806	3244
0	63	571
1	979	565
0	142	3777
1	423	3549
2	1602	3244
3	7806	3244
0	63	571
1	979	565
0	142	3777
1	423	3549
2	1602	3244
3	7806	3244
0	142	3777
1	423	3549
2	1602	3244
3	7806	3244
0	63	571
1	979	565
0	43	371
1	616	335
2	6978	335
0	690	19764
1	1768	16096
2	6328	16060
0	142	3777
1	423	3549
2	1602	3244
3	7806	3244
0	63	571
1	979	565
0	880	20375
1	2323	18923

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

Compiler

Compiled 2646 to 2055 computations (22.3% saved)

end0.0ms (0%)

preprocess140.0ms (0.5%)

Compiler: Compiled 470 to 356 computations (24.3% saved)

analyze442.0ms (1.5%)

sample13.1s (44.6%)

preprocess2.6s (8.9%)

eval3.0ms (0%)

prune2.0ms (0%)

localize991.0ms (3.4%)

series106.0ms (0.4%)

rewrite152.0ms (0.5%)

simplify101.0ms (0.3%)

eval80.0ms (0.3%)

prune30.0ms (0.1%)

localize1.5s (5%)

series205.0ms (0.7%)

rewrite177.0ms (0.6%)

simplify234.0ms (0.8%)

eval474.0ms (1.6%)

prune196.0ms (0.7%)

localize1.8s (6.1%)

series124.0ms (0.4%)

rewrite240.0ms (0.8%)

simplify363.0ms (1.2%)

eval483.0ms (1.6%)

prune133.0ms (0.5%)

localize1.2s (4.1%)

series96.0ms (0.3%)

rewrite140.0ms (0.5%)

simplify275.0ms (0.9%)

eval448.0ms (1.5%)

prune152.0ms (0.5%)

regimes199.0ms (0.7%)

regimes100.0ms (0.3%)

regimes73.0ms (0.2%)

regimes72.0ms (0.2%)

regimes10.0ms (0%)

regimes8.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify36.0ms (0.1%)

soundness2.9s (10%)

end0.0ms (0%)

preprocess140.0ms (0.5%)

Profiling