Metrics for VandenBroeck and Keller, Equation (20)

analyze456.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
6.3%	3.1%	46.9%	0%	0%	28.1%	21.9%	6
6.5%	3.1%	45.3%	0%	0%	28.1%	23.4%	7
6.6%	3.1%	44.5%	0%	0%	28.1%	24.2%	8
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: 288.0ms

Operation ival-div, time spent: 102.0ms, 35.0% of total-time

Operation ival-mult, time spent: 64.0ms, 22.0% of total-time

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

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

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

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

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

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

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

sample12.9s (33.3%)

Results

3.5s	4045×	1024	valid
3.3s	3905×	1024	invalid
1.7s	2060×	512	valid
1.0s	1966×	512	invalid
765.0ms	1801×	256	valid
328.0ms	1019×	256	invalid
713.0ms	349×	2048	valid
1.0ms	5×	256	unsamplable
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 9.1s

Operation ival-div, time spent: 2.3s, 25.0% of total-time

Operation ival-exp, time spent: 2.1s, 24.0% of total-time

Operation ival-mult, time spent: 1.6s, 18.0% of total-time

Operation ival-log, time spent: 1.2s, 14.0% of total-time

Operation ival-neg, time spent: 678.0ms, 7.0% of total-time

Operation ival-pi, time spent: 422.0ms, 5.0% of total-time

Operation ival-add, time spent: 292.0ms, 3.0% of total-time

Operation ival-sub, time spent: 244.0ms, 3.0% of total-time

Operation const, time spent: 150.0ms, 2.0% of total-time

Bogosity

preprocess2.5s (6.3%)

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
242	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
9	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
3	-	-	`(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))))))`
1	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
1	-	-	`(exp.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	-	-	`(/.f64 (PI.f64) 4)`
0	-	-	`4`
0	-	-	`1`
0	-	-	`(/.f64 1 (/.f64 (PI.f64) 4))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`	sensitivity	3
`exp.f64`	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`	sensitivity	1
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	cancellation	242
`exp.f64`	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	sensitivity	1
`/.f64`	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`	o/o	9
↳	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	9
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	overflow	9
↳	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	9
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	overflow	9

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

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 472 to 350 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-exp, time spent: 697.0ms, 43.0% of total-time

Operation ival-mult, time spent: 336.0ms, 20.0% of total-time

Operation ival-div, time spent: 311.0ms, 19.0% of total-time

Operation ival-log, time spent: 118.0ms, 7.0% of total-time

Operation ival-neg, time spent: 73.0ms, 4.0% of total-time

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

Operation ival-sub, time spent: 34.0ms, 2.0% of total-time

Operation const, time spent: 24.0ms, 1.0% of total-time

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

eval6.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(/.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))
▶	6.8%	(*.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)))
▶	6.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

6.9%

(/.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))

▶

6.8%

(*.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)))

▶

6.9%

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

Compiler

Compiled 104 to 79 computations (24% saved)

localize3.2s (8.3%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.5%	(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))))
✓	99.5%	(/.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))
✓	96.1%	(/.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)))
✓	12.8%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
✓	99.5%	(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))))
✓	99.3%	(*.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)))
✓	96.1%	(/.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)))
✓	12.8%	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
✓	99.5%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	96.1%	(/.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)))))
✓	12.8%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 485 to 336 computations (30.7% saved)

Precisions

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

Operation ival-pow, time spent: 1.1s, 43.0% of total-time

Operation ival-exp, time spent: 603.0ms, 23.0% of total-time

Operation ival-div, time spent: 429.0ms, 17.0% of total-time

Operation ival-log, time spent: 143.0ms, 6.0% of total-time

Operation ival-mult, time spent: 142.0ms, 6.0% of total-time

Operation ival-add, time spent: 48.0ms, 2.0% of total-time

Operation ival-sub, time spent: 47.0ms, 2.0% of total-time

Operation ival-neg, time spent: 35.0ms, 1.0% of total-time

Operation const, time spent: 31.0ms, 1.0% of total-time

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

series574.0ms (1.5%)

Counts

12 → 144

Calls

36 calls:

Time	Variable		Point	Expression
344.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
51.0ms	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)))))))
36.0ms	f	@	-inf	(*.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)))
25.0ms	f	@	inf	(*.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)))

rewrite170.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`associate-r`
304×	`associate-l`
266×	`add-exp-log`
263×	`add-log-exp`
262×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	336
1	762	336

Stop Event

1×	node limit

Counts

12 → 252

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

Outputs
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27

simplify183.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1100×	`times-frac`
902×	`distribute-lft-in`
896×	`distribute-rgt-in`
826×	`associate-+r+`
798×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	15055
1	538	13895
2	2020	12530

Stop Event

1×	node limit

Counts

396 → 95

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)))
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(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.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))))))))))) (+.f64 (.f64 1/2 (.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)))))) (.f64 1/2 (.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)))))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.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)))))))
(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)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.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 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (fma.f64 f (-.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2)) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) 2))) -2)) (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 0)
(fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.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 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (fma.f64 f (-.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2)) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
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(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.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))))))))))) (+.f64 (.f64 1/2 (.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)))))) (.f64 1/2 (.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)))))))))))
(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 -1 (log.f64 f) (.f64 1/2 (+.f64 (.f64 f (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0))) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2)) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))))))))
(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (fma.f64 f (.f64 (PI.f64) 0) (.f64 (pow.f64 f 2) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) 2))) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0)))) (neg.f64 (log.f64 f))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/2 (.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (.f64 (*.f64 (PI.f64) 1/2) (pow.f64 f 2)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
-16
-4
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-1
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0
1/16
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-4
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-16
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-16
-4
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1
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27
-16
-4
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0
1/16
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1/2
1
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2
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6
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27
-16
-4
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-1
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0
1/16
1/4
1/3
1/2
1
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2
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27
-16
-4
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-1/2
-1/4
0
1/16
1/4
1/3
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1
3/2
2
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6
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27
-16
-4
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-1/2
-1/4
0
1/16
1/4
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1
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2
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-16
-4
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-1/2
-1/4
0
1/16
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1
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2
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6
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-16
-4
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-1
-1/2
-1/4
0
1/16
1/4
1/3
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1
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2
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6
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27
-16
-4
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27

eval86.0ms (0.2%)

Compiler: Compiled 4595 to 3453 computations (24.9% saved)

prune30.0ms (0.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	83	12	95
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	86	12	98

Accuracy

95.8%

Counts

98 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
	94.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	6.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	94.7%	(neg.f64 (+.f64 0 (fma.f64 2 (.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 0) (PI.f64))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	94.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
	94.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
▶	94.7%	(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) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
▶	94.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.7%	(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)))) 27))))
▶	94.0%	(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)))))))))))

Compiler

Compiled 692 to 556 computations (19.7% saved)

localize1.8s (4.7%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.5%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	96.6%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.7%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.4%	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	99.6%	(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
✓	99.5%	(/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
✓	99.1%	(+.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))))))))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	96.6%	(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) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))

Compiler

Compiled 841 to 618 computations (26.5% saved)

Precisions

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

Operation ival-mult, time spent: 445.0ms, 41.0% of total-time

Operation ival-div, time spent: 233.0ms, 22.0% of total-time

Operation ival-log, time spent: 103.0ms, 10.0% of total-time

Operation ival-pow, time spent: 86.0ms, 8.0% of total-time

Operation ival-exp, time spent: 52.0ms, 5.0% of total-time

Operation composed, time spent: 41.0ms, 4.0% of total-time

Operation ival-add, time spent: 38.0ms, 4.0% of total-time

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

Operation const, time spent: 29.0ms, 3.0% of total-time

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

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series290.0ms (0.7%)

Counts

18 → 135

Calls

42 calls:

Time	Variable		Point	Expression
90.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
44.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
25.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
18.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
18.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite176.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`log1p-expm1-u`
453×	`expm1-log1p-u`
446×	`add-exp-log`
440×	`add-log-exp`
435×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	706
1	1129	700

Stop Event

1×	node limit

Counts

18 → 344

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

Outputs
(+.f64 (log.f64 (.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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))))
(+.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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))))
(+.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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))) 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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))))
(+.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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))) (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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))))
(-.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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))
(-.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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))) (.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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))))) 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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))))
(.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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))))
(.f64 (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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))) 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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))))
(.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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))) (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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))) 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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))) 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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))) 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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))) 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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))) (.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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))) 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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))) 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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))) 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 1/192) (pow.f64 (PI.f64) 3)))
(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 (pow.f64 (PI.f64) 5))) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) 1)
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2)
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 0 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1)
(-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))
(-.f64 (log.f64 (neg.f64 (/.f64 4 (PI.f64)))) (log.f64 (neg.f64 f)))
(.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) 1)
(.f64 1 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)) 3) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3)) (+.f64 (pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)) 2) (-.f64 (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2) (.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)) 2) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2)) (-.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))) (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(log.f64 (exp.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(fma.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 1 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 (.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) -1/4 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2))) (sqrt.f64 (/.f64 (.f64 (PI.f64) -1/4) (.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))))) 1)
(/.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))) 2)
(log.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))) 1)
(.f64 1 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) -2)) (/.f64 1 (cbrt.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 1/2))) (sqrt.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 1 (.f64 (PI.f64) 1/2)) (/.f64 1 f))
(.f64 (/.f64 1 f) (/.f64 1 (.f64 (PI.f64) 1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2) -1) (pow.f64 (cbrt.f64 (.f64 f (*.f64 (PI.f64) 1/2))) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) -1) (pow.f64 (sqrt.f64 (.f64 f (*.f64 (PI.f64) 1/2))) -1))
(.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2)
(pow.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1) -1)
(log.f64 (exp.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2))))
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(.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))

simplify235.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-define`
610×	`sqr-pow`
460×	`distribute-lft-in`
458×	`distribute-rgt-in`
450×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1021	26098
1	2725	21173

Stop Event

1×	node limit

Counts

479 → 571

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (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 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/2 (.f64 f (*.f64 (PI.f64) 0))))
(+.f64 (.f64 1/2 (.f64 f 0)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
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(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(.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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))) (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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))) 1)
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))) 3)
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))) 3) 1/3)
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))) 2)
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))) 3))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))) 1))
(log1p.f64 (+.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) -1))
(log1p.f64 (fma.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) -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) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))) 1))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(-.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 1/192) (pow.f64 (PI.f64) 3)))
(*.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)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(*.f64 (PI.f64) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(*.f64 1 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(pow.f64 (sqrt.f64 (PI.f64)) 10)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(pow.f64 (PI.f64) 5)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(pow.f64 (PI.f64) 5)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 5)
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 5)
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(*.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)))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1)
(*.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)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
(*.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)))
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) 1/3)
(*.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)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2)
(*.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)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (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)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.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 4 (.f64 f (PI.f64))))) 3))
(*.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)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3)))
(*.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)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(*.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)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/64))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
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(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2))))))
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(log1p.f64 (+.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f))) -1))
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(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f))))
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(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))) (.f64 (PI.f64) 1/4))
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(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
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(log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
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(log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
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(log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
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(.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
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(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
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(/.f64 1 (/.f64 (.f64 f (.f64 (PI.f64) 1/4)) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
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(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))) 1))
(.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 (/.f64 1 f) (*.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(.f64 f (.f64 (PI.f64) (log.f64 (exp.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(.f64 f (.f64 (PI.f64) 1/2))

eval378.0ms (1%)

Compiler: Compiled 19190 to 14469 computations (24.6% saved)

prune245.0ms (0.6%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	553	18	571
Fresh	1	6	7
Picked	4	1	5
Done	0	0	0
Total	558	25	583

Accuracy

96.1%

Counts

583 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.1%	(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
	94.1%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
	92.8%	(.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
▶	92.8%	(.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
	94.0%	(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4)
	94.0%	(.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
▶	94.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	94.1%	(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
	6.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	93.0%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
	94.3%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	94.7%	(neg.f64 (+.f64 0 (fma.f64 2 (.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 0) (PI.f64))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))))
▶	94.8%	(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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))))
	94.2%	(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 (.f64 f (.f64 (PI.f64) 1/2))))))
	93.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	94.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	94.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	1.7%	(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)))) 27))))
	94.7%	(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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
	94.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
	73.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
	92.8%	(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
▶	93.8%	(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))

Compiler

Compiled 1028 to 844 computations (17.9% saved)

localize922.0ms (2.4%)

Localize:

Found 5 expressions with local error:

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

Compiler

Compiled 458 to 331 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

Operation ival-log, time spent: 158.0ms, 26.0% of total-time

Operation ival-mult, time spent: 143.0ms, 24.0% of total-time

Operation ival-pow, time spent: 84.0ms, 14.0% of total-time

Operation ival-div, time spent: 81.0ms, 14.0% of total-time

Operation composed, time spent: 41.0ms, 7.0% of total-time

Operation ival-sub, time spent: 25.0ms, 4.0% of total-time

Operation const, time spent: 18.0ms, 3.0% of total-time

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

Operation ival-exp, time spent: 11.0ms, 2.0% of total-time

Operation ival-cosh, time spent: 11.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 10.0ms, 2.0% of total-time

Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series0.0ms (0%)

Counts: 5 → 0

rewrite122.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`prod-diff`
920×	`log-prod`
737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
552×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	15
1	24	15
2	235	15
3	2421	15

Stop Event

1×	node limit

Counts

5 → 315

Calls

Call 1

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

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

simplify229.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1670×	`log-prod`
1024×	`associate-+l+`
978×	`associate-+r+`
514×	`unswap-sqr`
462×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	4005
1	368	3805
2	1436	3725
3	7030	3725

Stop Event

1×	node limit

Counts

315 → 83

Calls

Call 1

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

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

eval708.0ms (1.8%)

Compiler: Compiled 31193 to 22943 computations (26.4% saved)

prune260.0ms (0.7%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	996	0	996
Fresh	0	19	19
Picked	0	5	5
Done	0	1	1
Total	996	25	1021

Accuracy

96.1%

Counts

1021 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.1%	(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
▶	94.1%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
	92.8%	(.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
✓	92.8%	(.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
	94.0%	(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4)
	94.0%	(.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
✓	94.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	94.1%	(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
	6.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	93.0%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
	94.3%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	94.7%	(neg.f64 (+.f64 0 (fma.f64 2 (.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 0) (PI.f64))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))))
✓	94.8%	(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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))))
▶	94.2%	(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 (.f64 f (.f64 (PI.f64) 1/2))))))
	93.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	94.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	94.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	1.7%	(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)))) 27))))
▶	94.7%	(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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
	94.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
✓	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
▶	73.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
	92.8%	(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
✓	93.8%	(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))

Compiler

Compiled 936 to 766 computations (18.2% saved)

localize1.1s (2.8%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 (.f64 (PI.f64) 1/4) f)
	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
	96.2%	(PI.f64)
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
	96.2%	(PI.f64)
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
	96.2%	(PI.f64)
✓	92.2%	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
✓	79.6%	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
	96.2%	(PI.f64)
✓	99.3%	(.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))))
	98.5%	(pow.f64 (PI.f64) 3)
	98.5%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
	96.2%	(PI.f64)

Compiler

Compiled 503 to 347 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 793.0ms

Operation ival-mult, time spent: 253.0ms, 32.0% of total-time

Operation ival-div, time spent: 162.0ms, 20.0% of total-time

Operation ival-log, time spent: 149.0ms, 19.0% of total-time

Operation composed, time spent: 77.0ms, 10.0% of total-time

Operation ival-pow, time spent: 76.0ms, 10.0% of total-time

Operation ival-add, time spent: 19.0ms, 2.0% of total-time

Operation ival-cosh, time spent: 19.0ms, 2.0% of total-time

Operation const, time spent: 18.0ms, 2.0% of total-time

Operation ival-sub, time spent: 7.0ms, 1.0% of total-time

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

Operation ival-neg, time spent: 4.0ms, 1.0% of total-time

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series318.0ms (0.8%)

Counts

9 → 96

Calls

27 calls:

Time	Variable		Point	Expression
168.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
41.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
25.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
21.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
21.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))

rewrite127.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

320×	`cbrt-prod`
316×	`log1p-expm1-u`
315×	`expm1-log1p-u`
310×	`add-exp-log`
308×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	388
1	872	382

Stop Event

1×	node limit

Counts

9 → 237

Calls

Call 1

Inputs
(.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (.f64 (PI.f64) 1/4) f)

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64))))) 1)
(-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (.f64 (PI.f64) 1/4)) (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) (*.f64 (PI.f64) 1/4)))
(/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (.f64 (PI.f64) 1/4))
(/.f64 (neg.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (neg.f64 (.f64 (PI.f64) 1/4)))
(pow.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64))) 1)
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(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4)) (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1)
(pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 1/4 f) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/4 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/4) f)) 1))

simplify232.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-r`
922×	`associate-l`
612×	`*-commutative`
546×	`associate-/r*`
462×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	703	22372
1	1964	20454

Stop Event

1×	node limit

Counts

333 → 334

Calls

Call 1

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

Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(fma.f64 2 (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/24)) (/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))) (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(fma.f64 -2 (.f64 (pow.f64 f 3) (/.f64 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (fma.f64 2 (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/24)) (/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))))
(fma.f64 -2 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 (pow.f64 f 3) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (*.f64 (PI.f64) 1/24) 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 4) (+.f64 (.f64 -3 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))) 2))) (.f64 12 (.f64 (PI.f64) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (PI.f64))) (+.f64 (.f64 1/15360 (pow.f64 (PI.f64) 3)) (.f64 1/96 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))))))))) (PI.f64))) (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(fma.f64 -2 (.f64 (pow.f64 f 3) (/.f64 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (fma.f64 1/6 (.f64 (pow.f64 f 4) (/.f64 (fma.f64 -3 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) 1/24) 2)) (.f64 12 (.f64 (PI.f64) (-.f64 (neg.f64 (/.f64 (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)))) (PI.f64))) (fma.f64 1/15360 (pow.f64 (PI.f64) 3) (.f64 1/96 (.f64 (.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)))))))) (PI.f64))) (fma.f64 2 (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/24)) (/.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)))))
(fma.f64 -2 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 (pow.f64 f 3) (PI.f64))) (fma.f64 1/6 (.f64 (pow.f64 f 4) (/.f64 (fma.f64 -3 (.f64 (.f64 (PI.f64) 1/24) (.f64 (pow.f64 (PI.f64) 3) 1/24)) (.f64 (PI.f64) (.f64 (-.f64 (/.f64 (fma.f64 -1/4 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (PI.f64) 4) -1/32)) (.f64 (pow.f64 (PI.f64) 4) -1/192)) (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 4) -1/32) (.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (neg.f64 (PI.f64))) (fma.f64 1/96 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) 1/15360))) 12))) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (neg.f64 (log.f64 f)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 (.f64 61440 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (pow.f64 (PI.f64) 5))) (.f64 (log.f64 f) -5)) (PI.f64)))
(-.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
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(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))))
(-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (.f64 (PI.f64) 1/4)) (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) (*.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)) (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) (*.f64 (PI.f64) 1/4)))
(/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (.f64 (PI.f64) 1/4))
(/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (.f64 (PI.f64) 1/4))
(-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)) (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) (*.f64 (PI.f64) 1/4)))
(/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (.f64 (PI.f64) 1/4))
(/.f64 (neg.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (neg.f64 (.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)) (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) (*.f64 (PI.f64) 1/4)))
(/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64))) 1)
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(pow.f64 (cbrt.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64)))) 3)
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(pow.f64 (pow.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64))) 3) 1/3)
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(pow.f64 (sqrt.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64)))) 2)
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(sqrt.f64 (pow.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64))) 2))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64))) 2))
(fabs.f64 (.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))))))
(log.f64 (pow.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(log.f64 (+.f64 1 (-.f64 (pow.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64))) 3))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(cbrt.f64 (.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 3) (/.f64 64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 3) (/.f64 64 (pow.f64 (PI.f64) 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))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 3) (/.f64 64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 3) (/.f64 64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)) 3) 1/64))
(expm1.f64 (log1p.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))))
(log1p.f64 (-.f64 (pow.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 4 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.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) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (PI.f64)))) 1))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 4 (PI.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1))
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(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) 1) (.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 (.f64 (PI.f64) 1/4) 1)))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (.f64 1/4 (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(.f64 4 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) 4) (.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (.f64 1/4 (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(.f64 4 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) -1) (.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (.f64 1/4 (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(.f64 4 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) -4) (.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 (PI.f64) 1/2)))) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (.f64 1/4 (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(.f64 4 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (PI.f64) (log.f64 (.f64 2 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (neg.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64))) 1)
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64)))) 3)
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64))) 3) 1/3)
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64)))) 2)
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64))) 2))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64))) 2))
(fabs.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64))) 3))
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) 3) 1/64))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))))
(log1p.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) f)) 4)) (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (PI.f64) f)) 4)) (PI.f64)))) 1))
(.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 4 (*.f64 (PI.f64) f)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1)
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/4))))
(pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 1)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 3)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 3) 1/3)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 2)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(sqrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 2))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 2))
(fabs.f64 (.f64 f (.f64 (PI.f64) 1/4)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 3))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 1/4 f) 3)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/4 f) 3) (pow.f64 (PI.f64) 3)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/4))

eval7.0s (18.1%)

Compiler: Compiled 194700 to 141773 computations (27.2% saved)

prune1.2s (3.2%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	6386	15	6401
Fresh	8	6	14
Picked	4	1	5
Done	3	3	6
Total	6401	25	6426

Accuracy

96.1%

Counts

6426 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.1%	(.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (PI.f64)) -4)
	94.1%	(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)) (PI.f64)) -4)
	94.1%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
	92.8%	(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
	94.0%	(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4)
	94.0%	(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	94.1%	(*.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1) -4)
✓	94.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	94.1%	(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
	6.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	92.9%	(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
	93.8%	(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3))) -4)
	94.6%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2))))
	94.8%	(neg.f64 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (.f64 (PI.f64) 1/4)))
	94.1%	(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
	94.7%	(neg.f64 (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	94.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
✓	94.8%	(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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
	94.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	1.7%	(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)))) 27))))
	94.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	94.1%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64))))
✓	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
✓	73.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))

Compiler

Compiled 1483 to 1136 computations (23.4% saved)

regimes80.0ms (0.2%)

Counts

48 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(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 (.f64 f (.f64 (PI.f64) 1/2))))))
(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)))) 27))))
(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) (*.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 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3))) -4)
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(neg.f64 (+.f64 0 (fma.f64 2 (.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 0) (PI.f64))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))))
(neg.f64 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (.f64 (PI.f64) 1/4)))
(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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(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) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))))))
(*.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) -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))
(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) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))

Outputs

(neg.f64 (/.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) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (*.f64 (PI.f64) 1/4)))

Calls

6 calls:

25.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
23.0ms	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)))))))
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
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
94.8%	1	`f`
94.8%	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))))))))`
94.8%	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)))))))`
94.8%	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))))))`
94.8%	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)))))`
94.8%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes103.0ms (0.3%)

Counts

42 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(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 (.f64 f (.f64 (PI.f64) 1/2))))))
(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)))) 27))))
(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) (*.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 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3))) -4)
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(neg.f64 (+.f64 0 (fma.f64 2 (.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 0) (PI.f64))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))))

Outputs
(neg.f64 (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))

Calls

6 calls:

55.0ms	f
21.0ms	(*.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)))))))
7.0ms	(/.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
94.7%	1	`f`
94.7%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
94.7%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
94.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
94.7%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
94.7%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes37.0ms (0.1%)

Counts

34 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(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 (.f64 f (.f64 (PI.f64) 1/2))))))
(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)))) 27))))
(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) (*.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))))))

Outputs
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2))))

Calls

2 calls:

18.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
17.0ms	f

Results

Accuracy	Segments	Branch
94.6%	1	`f`
94.6%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0%)

Counts

28 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1) -4)
(.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
94.2%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
94.2%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.1%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
0.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

550×	`distribute-lft-neg-in`
298×	`neg-mul-1`
262×	`neg-sub0`
208×	`distribute-neg-in`
196×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	477
1	151	473
2	221	473
3	275	469
4	318	465
5	374	465
6	436	465
7	511	465
8	679	465
9	959	465
10	1234	465
11	1446	465
12	1539	465
13	1561	465
14	1564	465

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (.f64 (PI.f64) 1/4)))
(neg.f64 (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))

Outputs
(neg.f64 (/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (.f64 (PI.f64) 1/4)))
(/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (neg.f64 (.f64 (PI.f64) 1/4)))
(/.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) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) (.f64 (PI.f64) (neg.f64 1/4)))
(neg.f64 (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) 1/48)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))
(-.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) 1/48))))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (.f64 2 (.f64 (pow.f64 f 2) (neg.f64 (-.f64 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) 1/48))))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 (PI.f64) 1/48) (.f64 (PI.f64) 1/16)))) (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/24) 2))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 2 (.f64 (PI.f64) 1/24)))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (.f64 1/8 (.f64 (PI.f64) f)) (.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))))
(.f64 (log.f64 (+.f64 (.f64 1/8 (.f64 (PI.f64) f)) (.f64 4 (/.f64 1 (*.f64 (PI.f64) f))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 0) (PI.f64)))
(*.f64 (/.f64 (log.f64 0) (PI.f64)) (neg.f64 4))

Compiler

Compiled 138 to 112 computations (18.8% saved)

soundness2.9s (7.5%)

Rules

1254×	`fma-define`
1100×	`times-frac`
1100×	`times-frac`
1100×	`times-frac`
930×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	178	15055
1	538	13895
2	2020	12530
0	63	706
1	1129	700
0	1021	26098
1	2725	21173
0	54	388
1	872	382
0	1021	26098
1	2725	21173
0	33	584
1	98	484
2	269	484
3	800	484
4	2639	484
5	7787	484
0	178	15055
1	538	13895
2	2020	12530
0	1021	26098
1	2725	21173
0	1021	26098
1	2725	21173
0	178	15055
1	538	13895
2	2020	12530
0	703	22372
1	1964	20454

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

Compiler

Compiled 2006 to 1529 computations (23.8% saved)

end0.0ms (0%)

preprocess103.0ms (0.3%)

Compiler: Compiled 340 to 254 computations (25.3% saved)

analyze456.0ms (1.2%)

sample12.9s (33.3%)

preprocess2.5s (6.3%)

eval6.0ms (0%)

prune3.0ms (0%)

localize3.2s (8.3%)

series574.0ms (1.5%)

rewrite170.0ms (0.4%)

simplify183.0ms (0.5%)

eval86.0ms (0.2%)

prune30.0ms (0.1%)

localize1.8s (4.7%)

series290.0ms (0.7%)

rewrite176.0ms (0.5%)

simplify235.0ms (0.6%)

eval378.0ms (1%)

prune245.0ms (0.6%)

localize922.0ms (2.4%)

series0.0ms (0%)

rewrite122.0ms (0.3%)

simplify229.0ms (0.6%)

eval708.0ms (1.8%)

prune260.0ms (0.7%)

localize1.1s (2.8%)

series318.0ms (0.8%)

rewrite127.0ms (0.3%)

simplify232.0ms (0.6%)

eval7.0s (18.1%)

prune1.2s (3.2%)

regimes80.0ms (0.2%)

regimes103.0ms (0.3%)

regimes37.0ms (0.1%)

regimes16.0ms (0%)

regimes11.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

simplify63.0ms (0.2%)

soundness2.9s (7.5%)

end0.0ms (0%)

preprocess103.0ms (0.3%)

Profiling