Metrics for VandenBroeck and Keller, Equation (20)

analyze448.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
6.3%	3.1%	46.9%	0%	0%	28.1%	21.9%	6
6.5%	3.1%	45.3%	0%	0%	28.1%	23.4%	7
6.6%	3.1%	44.5%	0%	0%	28.1%	24.2%	8
8.3%	3.9%	43.3%	0%	0%	28.5%	24.2%	9
8.7%	4.1%	43.1%	0%	0%	28.5%	24.2%	10
9.1%	4.3%	42.9%	0%	0%	28.6%	24.2%	11
9.1%	4.3%	42.8%	0%	0%	28.6%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

Operation ival-div, time spent: 86.0ms, 32.0% of total-time

Operation ival-mult, time spent: 64.0ms, 24.0% of total-time

Operation ival-exp, time spent: 48.0ms, 18.0% of total-time

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

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

Operation ival-log, time spent: 12.0ms, 4.0% 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

sample12.5s (41.2%)

Results

3.3s	4085×	1024	valid
3.5s	3723×	1024	invalid
1.5s	1981×	512	valid
908.0ms	1973×	512	invalid
601.0ms	1845×	256	valid
561.0ms	989×	256	invalid
525.0ms	344×	2048	valid
1.0ms	7×	256	unsamplable
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 8.7s

Operation ival-div, time spent: 2.3s, 26.0% of total-time

Operation ival-exp, time spent: 2.2s, 25.0% of total-time

Operation ival-mult, time spent: 1.9s, 21.0% of total-time

Operation ival-neg, time spent: 875.0ms, 10.0% of total-time

Operation ival-log, time spent: 613.0ms, 7.0% of total-time

Operation ival-sub, time spent: 278.0ms, 3.0% of total-time

Operation ival-add, time spent: 212.0ms, 2.0% of total-time

Operation ival-pi, time spent: 203.0ms, 2.0% of total-time

Operation const, time spent: 170.0ms, 2.0% of total-time

Bogosity

preprocess2.4s (7.8%)

Algorithm

1×	egg-herbie

Rules

3700×	`fma-define`
1678×	`fma-neg`
706×	`distribute-lft-in`
650×	`distribute-rgt-in`
606×	`div-sub`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
243	0	-	1	(0.007222461513675318)	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
8	0	-	0	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
2	0	-	0	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
2	1	(3.8546493287045562)	0	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
2	0	-	0	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
0	0	-	0	-	`(/.f64 1 (/.f64 (PI.f64) 4))`
0	0	-	0	-	`1`
0	0	-	0	-	`4`
0	0	-	0	-	`(/.f64 (PI.f64) 4)`
0	0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	0	-	0	-	`f`
0	0	-	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	0	-	0	-	`(*.f64 (/.f64 (PI.f64) 4) f)`
0	0	-	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	0	-	0	-	`(PI.f64)`

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	2	0
`exp.f64`	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`	sensitivity	2	0
`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))))))`	oflow-rescue	1	0
↳	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	8
↳	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	8
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	overflow	16
↳	`(/.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)))))`	overflow	1
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	cancellation	242	1
`exp.f64`	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	sensitivity	2	0
`/.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	8	0
↳	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	8
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	overflow	8
↳	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	8
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	overflow	8

Confusion

	Predicted +	Predicted -
+	252	0
-	1	3

Precision

0.9960474308300395

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	0
-	1	1	2

Precision?

0.9921259842519685

Recall?

1.0

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	92	484
2	250	484
3	630	484
4	1254	484
5	1914	484
6	2508	484
7	2719	484
8	3048	484
9	3270	484
10	3714	364
11	4435	316
12	4891	316
13	5709	316
14	6279	316
15	6349	316
16	6493	316
17	6645	316
18	6661	316
19	6949	316

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(.f64 (neg.f64 (.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))

Compiler

Compiled 472 to 350 computations (25.8% saved)

Precisions

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

Operation ival-exp, time spent: 389.0ms, 30.0% of total-time

Operation ival-div, time spent: 346.0ms, 27.0% of total-time

Operation ival-mult, time spent: 265.0ms, 21.0% of total-time

Operation ival-log, time spent: 89.0ms, 7.0% of total-time

Operation ival-neg, time spent: 83.0ms, 6.0% of total-time

Operation ival-add, time spent: 41.0ms, 3.0% of total-time

Operation ival-sub, time spent: 39.0ms, 3.0% of total-time

Operation const, time spent: 27.0ms, 2.0% of total-time

Operation ival-pi, time spent: 11.0ms, 1.0% of total-time

eval4.0ms (0%)

Compiler: Compiled 236 to 174 computations (26.3% 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))
▶	98.7%	(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	6.9%	(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))

▶

98.7%

(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))

▶

6.9%

(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 94 to 74 computations (21.3% saved)

localize2.5s (8.2%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	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))
✓	99.2%	(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))))
✓	96.6%	(/.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)))
✓	12.5%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.6%	(.f64 (.f64 -1/2 f) (PI.f64))
✓	99.4%	(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	99.2%	(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	99.2%	(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))))))
✓	96.6%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	12.5%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 452 to 319 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0s

Operation ival-exp, time spent: 503.0ms, 25.0% of total-time

Operation ival-pow, time spent: 428.0ms, 21.0% of total-time

Operation ival-div, time spent: 376.0ms, 19.0% of total-time

Operation ival-mult, time spent: 266.0ms, 13.0% of total-time

Operation composed, time spent: 148.0ms, 7.0% of total-time

Operation ival-log, time spent: 101.0ms, 5.0% of total-time

Operation ival-sub, time spent: 69.0ms, 3.0% of total-time

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

Operation const, time spent: 39.0ms, 2.0% of total-time

Operation ival-neg, time spent: 39.0ms, 2.0% of total-time

Operation ival-pi, time spent: 5.0ms, 0.0% of total-time

series265.0ms (0.9%)

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))>
#<alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))>
#<alt (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))>
#<alt (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))>
#<alt (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))))>
#<alt (.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))>
#<alt (.f64 (.f64 -1/2 f) (PI.f64))>
#<alt (*.f64 (PI.f64) f)>
#<alt (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))>
#<alt (/.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)))>
#<alt (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))))>
#<alt (/.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))>

Outputs
#<alt (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))>
#<alt (.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))>
#<alt (.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))>
#<alt (.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))>
#<alt (/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))>
#<alt (/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (.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))))))))>
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#<alt (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)))))))>
#<alt (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)))))))>
#<alt (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)))))))>
#<alt (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)))))))>
#<alt (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)))))))>
#<alt (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)))))))>
#<alt (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 f (+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (PI.f64))))))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 f (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (PI.f64))) (.f64 f (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 f (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>
#<alt (.f64 -4 (/.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))))))) (PI.f64)))>

Calls

36 calls:

Time	Variable		Point	Expression
49.0ms	f	@	-inf	(log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1))))
42.0ms	f	@	inf	(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
39.0ms	f	@	-inf	(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
25.0ms	f	@	inf	(log (/ (+ (pow (exp (/ (PI) -4)) f) (pow (exp (/ (PI) 4)) f)) (- (pow (exp (/ (PI) 4)) f) (pow (exp (/ (PI) -4)) f))))
25.0ms	f	@	inf	(log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1))))

rewrite692.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

358×	`add-exp-log`
357×	`log1p-expm1-u`
355×	`add-log-exp`
355×	`expm1-log1p-u`
354×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	787
1	816	684

Stop Event

1×	node limit

Counts

12 → 237

Calls

Call 1

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

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

simplify312.0ms (1%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-r`
882×	`fma-define`
850×	`associate-l`
610×	`*-commutative`
602×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	854	32655
1	2116	20768
2	7818	20768

Stop Event

1×	node limit

Counts

381 → 429

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.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 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) f)
(/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (+.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)))))))
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(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f -1/2))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f -1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 f -1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f -1/2))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (neg.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (sqrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (neg.f64 (.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) 1))) (fma.f64 (neg.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) 1 (.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (pow.f64 (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) 2) (.f64 (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) 1))) (fma.f64 (neg.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) 1 (.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) 1)))
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(.f64 1 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) 3) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (.f64 f 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) 2) (+.f64 (pow.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2) (pow.f64 (.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) 2) (pow.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2)) (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) 2)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) 1))
(fma.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (neg.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (neg.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (neg.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) 1)
(.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 2)
(pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))))
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(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) 1))
(+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (log.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(+.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))))) 1)
(.f64 1 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))) 2)) (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (PI.f64)) -4)
(pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))) 2)
(pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))) -1)
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))) 1))

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))
(.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (.f64 1/4 (PI.f64))))
(.f64 f (+.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (PI.f64) 1/2)))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/384 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 5) 1/61440))) (.f64 1/384 (pow.f64 (PI.f64) 3))))) (.f64 1/4 (PI.f64))))
(.f64 f (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (.f64 (PI.f64) 1/2)))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))
(.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/384 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/122880 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 7) 1/41287680))) (.f64 1/122880 (pow.f64 (PI.f64) 5))))) (.f64 1/384 (pow.f64 (PI.f64) 3))))) (.f64 1/4 (PI.f64))))
(.f64 f (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)) (.f64 (pow.f64 (PI.f64) 5) 1/61440))) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
(-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (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 f) (.f64 (PI.f64) -1/4)))
(-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (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 f) (.f64 (PI.f64) -1/4)))
(-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (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))))))
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(.f64 1 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
(.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))
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(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
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(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
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(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
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(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
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(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
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(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
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(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) 1))
(log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 1)))
(log1p.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2)))) (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) -1)))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
(exp.f64 (.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 1))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64)))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))) (/.f64 -4 (PI.f64))))))
(/.f64 (.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 1)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))) (/.f64 -4 (PI.f64))))
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(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
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(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
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(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
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(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))) (/.f64 -4 (PI.f64))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))) 1))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/2))))) (/.f64 -4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 1)
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f -1/2))))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) -1/2))))
(pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 1)
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 f (.f64 (PI.f64) -1/2))
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f -1/2))) 3)
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 f (.f64 (PI.f64) -1/2))
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3)
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 f (.f64 (PI.f64) -1/2))
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 f (.f64 (PI.f64) -1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 f (.f64 (PI.f64) -1/2))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3))
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 f (.f64 (PI.f64) -1/2))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f -1/2) 3)))
(.f64 (PI.f64) (.f64 f -1/2))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))
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(.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))
(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))
(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
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(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
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(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))) 2)) (cbrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))))
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(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (PI.f64)) -4)
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))) 1)
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))) 3)
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(pow.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))) 2)
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))) -1)
(/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(.f64 (/.f64 1 (.f64 (PI.f64) -1/4)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64))) 3))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))) 1))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))

eval432.0ms (1.4%)

Compiler: Compiled 17281 to 12789 computations (26% saved)

prune160.0ms (0.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	407	22	429
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	410	22	432

Accuracy

99.7%

Counts

432 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))))) (/.f64 (PI.f64) -4))
	94.8%	(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))))))
	98.7%	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
	94.3%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	97.5%	(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))) (/.f64 -4 (PI.f64)))
	98.7%	(.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))
	94.3%	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
▶	97.4%	(neg.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
	98.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 2))
	97.6%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 3))
	98.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))) 2)))
	97.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))) 3)))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f))))
▶	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 1/2 (sinh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))))
▶	99.1%	(neg.f64 (.f64 -4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
	97.9%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))))
▶	97.9%	(neg.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))))
	98.6%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)))
	98.6%	(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
▶	79.4%	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
	79.0%	(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3))

Compiler

Compiled 922 to 784 computations (15% saved)

localize1.7s (5.6%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
✓	98.9%	(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)
✓	97.4%	(PI.f64)
✓	97.2%	(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
✓	99.5%	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
✓	99.1%	(log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))
✓	98.3%	(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
✓	97.4%	(PI.f64)
✓	99.6%	(/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
✓	97.4%	(PI.f64)
✓	92.3%	(pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64)))
✓	79.8%	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.6%	(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	97.4%	(PI.f64)
✓	99.6%	(.f64 f (.f64 1/4 (PI.f64)))
✓	99.6%	(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (PI.f64))
✓	97.4%	(PI.f64)

Compiler

Compiled 359 to 263 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-log, time spent: 350.0ms, 25.0% of total-time

Operation ival-pow, time spent: 277.0ms, 20.0% of total-time

Operation ival-tanh, time spent: 276.0ms, 20.0% of total-time

Operation ival-div, time spent: 217.0ms, 15.0% of total-time

Operation ival-mult, time spent: 201.0ms, 14.0% of total-time

Operation ival-exp, time spent: 39.0ms, 3.0% of total-time

Operation ival-neg, time spent: 24.0ms, 2.0% of total-time

Operation const, time spent: 16.0ms, 1.0% of total-time

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

series708.0ms (2.3%)

Counts

20 → 180

Calls

Call 1

Inputs
#<alt (PI.f64)>
#<alt (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (PI.f64))>
#<alt (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))>
#<alt (.f64 f (.f64 1/4 (PI.f64)))>
#<alt (PI.f64)>
#<alt (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))>
#<alt (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))>
#<alt (.f64 f (.f64 (PI.f64) 1/2))>
#<alt (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))>
#<alt (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64)))>
#<alt (PI.f64)>
#<alt (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))>
#<alt (PI.f64)>
#<alt (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))>
#<alt (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))>
#<alt (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))>
#<alt (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)>
#<alt (PI.f64)>
#<alt (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)>
#<alt (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))>

Outputs
#<alt (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))>
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Calls

45 calls:

Time	Variable		Point	Expression
295.0ms	f	@	-inf	(log (/ (neg (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4)))
89.0ms	f	@	0	(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
68.0ms	f	@	-inf	(log (pow (/ 1 (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))))
60.0ms	f	@	inf	(log (pow (/ 1 (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))))
33.0ms	f	@	inf	(log (/ (neg (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4)))

rewrite315.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`associate-r`
377×	`log1p-expm1-u`
286×	`associate-l`
225×	`expm1-log1p-u`
223×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	565
1	653	523
2	7610	523

Stop Event

1×	node limit

Counts

20 → 763

Calls

Call 1

Inputs
(PI.f64)
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (PI.f64))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(.f64 f (.f64 1/4 (PI.f64)))
(PI.f64)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
(pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64)))
(PI.f64)
(/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(PI.f64)
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))))
(log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(PI.f64)
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))) 1)
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))
(-.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 1)
(.f64 1 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 1 (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (neg.f64 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (neg.f64 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 -1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) -1)
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 2))
(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 1))
(+.f64 0 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(-.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(-.f64 (log.f64 (expm1.f64 (.f64 2 (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) -1)
(.f64 -1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (neg.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 2))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (neg.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (neg.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 (.f64 -1 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2) (.f64 0 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(log1p.f64 (-.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(exp.f64 (.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 1))
(-.f64 0 (.f64 (PI.f64) (.f64 f 1/4)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 1 (/.f64 1 (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)
(/.f64 (.f64 (.f64 (PI.f64) f) -1/2) -2)
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (*.f64 f (neg.f64 (PI.f64))) -4)
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) -4)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)
(neg.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/64) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))) 1)
(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) 1/4)))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1/4) (PI.f64))
(/.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1/4)
(/.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 1/2 (sqrt.f64 (PI.f64)))) (.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) -1) (.f64 (PI.f64) 1/4))
(/.f64 (.f64 -1 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (.f64 (PI.f64) 1/4)))
(pow.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 3)
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(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 1/4))
(.f64 (/.f64 -1 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1/4))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 -1 (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) -4) (/.f64 1 (PI.f64)))
(.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (sqrt.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (/.f64 4 (PI.f64))))
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(.f64 (.f64 (/.f64 4 (PI.f64)) -1) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1) (/.f64 4 (PI.f64)))
(pow.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4) 1)
(pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 3) 1/64) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4)) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4) 6) 1/6)
(pow.f64 (.f64 (PI.f64) (/.f64 1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) -1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) 1/2) 2)
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(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 4)) 2))) (cbrt.f64 (log.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 4))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 4)))) (sqrt.f64 (log.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 4))))
(neg.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 2) 1/16))
(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 3) 1/64))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4)))
(log1p.f64 (-.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64))) 1))
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simplify497.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1638×	`times-frac`
1186×	`fma-define`
1148×	`distribute-lft-in`
1120×	`distribute-rgt-in`
626×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1221	56070
1	3262	48550

Stop Event

1×	node limit

Counts

943 → 677

Calls

Call 1

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

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

eval675.0ms (2.2%)

Compiler: Compiled 28436 to 22173 computations (22% saved)

prune185.0ms (0.6%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	874	19	893
Fresh	12	5	17
Picked	4	1	5
Done	0	0	0
Total	890	25	915

Accuracy

99.9%

Counts

915 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(pow.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4)) 3)
▶	99.1%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1/4)
	99.0%	(/.f64 1 (.f64 (PI.f64) (/.f64 1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
▶	98.7%	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
	94.3%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	97.5%	(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))) (/.f64 -4 (PI.f64)))
▶	98.7%	(.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))
	92.4%	(neg.f64 (pow.f64 (pow.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 3) 1/3))
	93.8%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 2))
	1.7%	(neg.f64 (/.f64 (/.f64 (log.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1/4) (PI.f64)))
	94.1%	(neg.f64 (/.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (log.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
	94.1%	(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) 1/4))))
	93.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	10.6%	(neg.f64 (.f64 -4 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -2) (.f64 1/4 (.f64 f (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64))))
▶	94.3%	(neg.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
▶	99.0%	(neg.f64 (.f64 -4 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (PI.f64))))))
	73.2%	(neg.f64 (log.f64 (pow.f64 (/.f64 1 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64)))))
	93.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))))
	93.0%	(neg.f64 (exp.f64 (log.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))))
	93.8%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 3)))
✓	79.4%	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
	79.4%	(log.f64 (pow.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
	79.0%	(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3))

Compiler

Compiled 848 to 722 computations (14.9% saved)

localize1.8s (5.9%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.6%	(-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 1)
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/2))
✓	99.6%	(.f64 (PI.f64) (.f64 f -1/2))
✓	99.4%	(.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))
✓	100.0%	(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/4))
✓	99.6%	(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64))))
✓	92.4%	(pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64)))
	99.6%	(.f64 f (.f64 1/4 (PI.f64)))
	99.6%	(/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
✓	99.4%	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
✓	99.2%	(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
✓	100.0%	(.f64 1/4 (.f64 f (PI.f64)))
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log.f64 (.f64 1/4 (.f64 f (PI.f64)))) (PI.f64))
✓	100.0%	(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))
✓	99.6%	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/4))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))

Compiler

Compiled 342 to 239 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-mult, time spent: 364.0ms, 25.0% of total-time

Operation composed, time spent: 241.0ms, 17.0% of total-time

Operation ival-log, time spent: 232.0ms, 16.0% of total-time

Operation ival-div, time spent: 150.0ms, 10.0% of total-time

Operation ival-pow, time spent: 119.0ms, 8.0% of total-time

Operation ival-exp, time spent: 108.0ms, 8.0% of total-time

Operation ival-tanh, time spent: 70.0ms, 5.0% of total-time

Operation ival-sub, time spent: 55.0ms, 4.0% of total-time

Operation const, time spent: 41.0ms, 3.0% of total-time

Operation ival-add, time spent: 35.0ms, 2.0% of total-time

Operation ival-neg, time spent: 11.0ms, 1.0% of total-time

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

series309.0ms (1%)

Counts

17 → 180

Calls

Call 1

Inputs
#<alt (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))>
#<alt (.f64 (PI.f64) (.f64 f 1/4))>
#<alt (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))>
#<alt (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))>
#<alt (/.f64 (log.f64 (.f64 1/4 (.f64 f (PI.f64)))) (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (.f64 1/4 (.f64 f (PI.f64)))>
#<alt (log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))>
#<alt (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))>
#<alt (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64)))>
#<alt (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64))))>
#<alt (.f64 (PI.f64) (.f64 f 1/4))>
#<alt (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))>
#<alt (.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))>
#<alt (.f64 (PI.f64) (.f64 f -1/2))>
#<alt (.f64 (PI.f64) (.f64 f 1/2))>
#<alt (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 1)>

Outputs
#<alt (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))>
#<alt (+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (.f64 f (+.f64 (.f64 1/2 (/.f64 (.f64 f (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (.f64 2 (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
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#<alt (.f64 f (+.f64 (.f64 1/4 (PI.f64)) (.f64 f (+.f64 (.f64 1/2 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (.f64 f (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 f (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (.f64 -1/8 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))))) (.f64 1/128 (pow.f64 (PI.f64) 3))))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))>
#<alt (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))))))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1 (.f64 f (-.f64 (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))))))) (.f64 -1 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) (.f64 f (+.f64 (.f64 -1 (-.f64 (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (.f64 -1/6 (/.f64 (.f64 f (+.f64 (.f64 -3/4 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) 2))) (.f64 6 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))))) (+.f64 (.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/96 (pow.f64 (PI.f64) 2)) (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64)))))))))))) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) (+.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 -1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (.f64 1/2 (.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (.f64 f (-.f64 (.f64 f (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64)))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (.f64 f (-.f64 (.f64 f (+.f64 (.f64 -1/12 (PI.f64)) (+.f64 (.f64 1/8 (PI.f64)) (.f64 f (+.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/96 (pow.f64 (PI.f64) 2)) (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))))))))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>

Calls

51 calls:

Time	Variable		Point	Expression
174.0ms	f	@	-inf	(/ (log (* 1/4 (* f (PI)))) (PI))
32.0ms	f	@	-inf	(log (pow (tanh (* (PI) (* f 1/4))) (/ 1 (PI))))
30.0ms	f	@	inf	(log (pow (tanh (* (PI) (* f 1/4))) (/ 1 (PI))))
18.0ms	f	@	0	(/ (log (* 1/4 (* f (PI)))) (PI))
8.0ms	f	@	-inf	(* (/ -4 (PI)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))

rewrite157.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`associate-r`
301×	`log1p-expm1-u`
299×	`expm1-log1p-u`
298×	`add-exp-log`
296×	`cbrt-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	495
1	773	491

Stop Event

1×	node limit

Counts

17 → 461

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/4))
(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(/.f64 (log.f64 (.f64 1/4 (.f64 f (PI.f64)))) (PI.f64))
(*.f64 f (PI.f64))
(.f64 1/4 (.f64 f (PI.f64)))
(log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64)))
(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64))))
(.f64 (PI.f64) (.f64 f 1/4))
(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 1)

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

simplify288.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-r`
1124×	`fma-define`
880×	`distribute-rgt-in`
870×	`distribute-lft-in`
500×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1023	32911
1	2661	28362

Stop Event

1×	node limit

Counts

641 → 525

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
(+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(fma.f64 2 (.f64 f (/.f64 (.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
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(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))
(.f64 f (.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1)
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/2) f)) 3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 3) 1/3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) f)) 2)
(.f64 f (.f64 (PI.f64) 1/2))
(sqrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 2))
(sqrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 2))
(fabs.f64 (.f64 f (.f64 (PI.f64) 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 3))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/2) 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 f 1/2) 3) (pow.f64 (PI.f64) 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 1 (+.f64 (/.f64 1 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) -1))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) -1)))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)) (sqrt.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) -1)))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -3) -1) (/.f64 1 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (/.f64 1 (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) 1)))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -1/2) 1) (-.f64 (pow.f64 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f)) -1/2) 1))
(.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -1/2)) (+.f64 (pow.f64 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))) -1/2) -1))
(+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -1) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))))) (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -3) -1)))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (/.f64 1 (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1) (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) -1)))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -3) -1) (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))))))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (/.f64 1 (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -3) -1) (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) (-.f64 1 (.f64 (/.f64 1 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) -1))))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (/.f64 1 (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) -1) (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) -1) (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1))
(.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -3) -1)) (neg.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) 1) (neg.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3)) (-.f64 (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))) (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) 1) (neg.f64 (+.f64 1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1) 1)
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)) 3)
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1) 3) 1/3)
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)) 2)
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))) 2))
(fabs.f64 (+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1))))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1) 3))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(expm1.f64 (neg.f64 (log.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)))))
(expm1.f64 (neg.f64 (log.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) -1)) 1))
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 1 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)
(+.f64 -1 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 -1 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) -1)
(+.f64 (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) -1)
(+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -2)) (cbrt.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2)) (cbrt.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))) -1)
(fma.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -1/2) (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)) -1/2) -1)
(.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -1/2)) (+.f64 (pow.f64 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))) -1/2) -1))
(+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -1) -1)

eval518.0ms (1.7%)

Compiler: Compiled 22897 to 17886 computations (21.9% saved)

prune157.0ms (0.5%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	714	9	723
Fresh	10	9	19
Picked	1	4	5
Done	0	1	1
Total	725	23	748

Accuracy

100.0%

Counts

748 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(/.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (PI.f64)) 1/4)
	96.0%	(/.f64 (/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 f (.f64 1/4 (PI.f64)))) (cosh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64)) 1/4)
✓	99.1%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1/4)
	94.3%	(/.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64)) (.f64 f 0))) 1/4)
▶	99.0%	(/.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64)))) 1/4)
	99.0%	(/.f64 1 (.f64 (PI.f64) (/.f64 1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
▶	94.3%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	98.7%	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
▶	0.7%	(*.f64 (/.f64 -4 (PI.f64)) (log.f64 0))
✓	98.7%	(.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))
▶	93.8%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 2))
	1.7%	(neg.f64 (/.f64 (/.f64 (log.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1/4) (PI.f64)))
	94.1%	(neg.f64 (/.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (log.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
▶	94.1%	(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) 1/4))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
✓	94.3%	(neg.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
	94.2%	(neg.f64 (.f64 -4 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
	94.2%	(neg.f64 (.f64 -4 (log.f64 (pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 1 (PI.f64))))))
	93.8%	(neg.f64 (.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)) 3))))
	93.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))))
✓	79.4%	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
	79.4%	(log.f64 (pow.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))

Compiler

Compiled 619 to 521 computations (15.8% saved)

localize556.0ms (1.8%)

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 267 to 191 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

Operation ival-log, time spent: 99.0ms, 31.0% of total-time

Operation ival-mult, time spent: 93.0ms, 29.0% of total-time

Operation ival-div, time spent: 49.0ms, 15.0% of total-time

Operation ival-pow, time spent: 32.0ms, 10.0% of total-time

Operation ival-neg, time spent: 17.0ms, 5.0% of total-time

Operation const, time spent: 11.0ms, 3.0% of total-time

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

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

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

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

eval361.0ms (1.2%)

Compiler: Compiled 16751 to 12316 computations (26.5% saved)

prune72.0ms (0.2%)

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	1000	0	1000
Fresh	0	13	13
Picked	0	5	5
Done	0	5	5
Total	1000	23	1023

Accuracy

100.0%

Counts

1023 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(/.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (PI.f64)) 1/4)
	96.0%	(/.f64 (/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 f (.f64 1/4 (PI.f64)))) (cosh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64)) 1/4)
✓	99.1%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1/4)
	94.3%	(/.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64)) (.f64 f 0))) 1/4)
✓	99.0%	(/.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64)))) 1/4)
	99.0%	(/.f64 1 (.f64 (PI.f64) (/.f64 1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
✓	94.3%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	98.7%	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
✓	0.7%	(*.f64 (/.f64 -4 (PI.f64)) (log.f64 0))
✓	98.7%	(.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))
✓	93.8%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 2))
	1.7%	(neg.f64 (/.f64 (/.f64 (log.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1/4) (PI.f64)))
	94.1%	(neg.f64 (/.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (log.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
✓	94.1%	(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) 1/4))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
✓	94.3%	(neg.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
	94.2%	(neg.f64 (.f64 -4 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
	94.2%	(neg.f64 (.f64 -4 (log.f64 (pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 1 (PI.f64))))))
	93.8%	(neg.f64 (.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)) 3))))
	93.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))))
✓	79.4%	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
	79.4%	(log.f64 (pow.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))

Compiler

Compiled 1283 to 1010 computations (21.3% saved)

regimes77.0ms (0.3%)

Counts

53 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 0))
(neg.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (/.f64 (log.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1/4) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (log.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1/4)
(neg.f64 (.f64 -4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 -4 (log.f64 (pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 1 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(/.f64 1 (.f64 (PI.f64) (/.f64 1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(/.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64)) (.f64 f 0))) 1/4)
(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) 1/4))))
(log.f64 (pow.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 -4 (PI.f64))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))))
(/.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64)))) 1/4)
(neg.f64 (exp.f64 (log.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))))
(neg.f64 (.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)) 3))))
(neg.f64 (.f64 -4 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (PI.f64))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 2))
(neg.f64 (pow.f64 (pow.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 3) 1/3))
(neg.f64 (.f64 -4 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 f (.f64 1/4 (PI.f64)))) (cosh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64)) 1/4)
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (-.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) 1))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 1/2 (sinh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 4)) 3)
(neg.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)))))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))))) (/.f64 (PI.f64) -4))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))) 3)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))) 2)))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(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 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (PI.f64)) 1/4)
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64)))) 3))
(neg.f64 (.f64 -4 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -2) (.f64 1/4 (.f64 f (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 1/4 (*.f64 f (PI.f64)))))) (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))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))) (/.f64 -4 (PI.f64)))

Outputs
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1/4)

Calls

6 calls:

24.0ms	f
24.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
99.1%	1	`f`
99.1%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
99.1%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
99.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
99.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
99.1%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes7.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.3%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
94.3%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
0.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
14×	`sub-neg`
14×	`+-commutative`
12×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	139
1	48	139
2	64	139
3	75	139
4	82	139
5	84	139

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1/4)
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 -4 (neg.f64 (/.f64 (log.f64 (.f64 1/4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 0))

Compiler

Compiled 43 to 37 computations (14% saved)

soundness2.2s (7.2%)

Rules

3700×	`fma-define`
1678×	`fma-neg`
1638×	`times-frac`
1186×	`fma-define`
1148×	`distribute-lft-in`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	854	32655
1	2116	20768
2	7818	20768
0	46	787
1	816	684
0	1221	56070
1	3262	48550
0	41	565
1	653	523
2	7610	523
0	33	584
1	92	484
2	250	484
3	630	484
4	1254	484
5	1914	484
6	2508	484
7	2719	484
8	3048	484
9	3270	484
10	3714	364
11	4435	316
12	4891	316
13	5709	316
14	6279	316
15	6349	316
16	6493	316
17	6645	316
18	6661	316
19	6949	316

Stop Event

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

Compiler

Compiled 953 to 729 computations (23.5% saved)

end0.0ms (0%)

preprocess62.0ms (0.2%)

Compiler: Compiled 156 to 122 computations (21.8% saved)

analyze448.0ms (1.5%)

sample12.5s (41.2%)

preprocess2.4s (7.8%)

eval4.0ms (0%)

prune3.0ms (0%)

localize2.5s (8.2%)

series265.0ms (0.9%)

rewrite692.0ms (2.3%)

simplify312.0ms (1%)

eval432.0ms (1.4%)

prune160.0ms (0.5%)

localize1.7s (5.6%)

series708.0ms (2.3%)

rewrite315.0ms (1%)

simplify497.0ms (1.6%)

eval675.0ms (2.2%)

prune185.0ms (0.6%)

localize1.8s (5.9%)

series309.0ms (1%)

rewrite157.0ms (0.5%)

simplify288.0ms (0.9%)

eval518.0ms (1.7%)

prune157.0ms (0.5%)

localize556.0ms (1.8%)

eval361.0ms (1.2%)

prune72.0ms (0.2%)

regimes77.0ms (0.3%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify9.0ms (0%)

soundness2.2s (7.2%)

end0.0ms (0%)

preprocess62.0ms (0.2%)

Profiling