Metrics for VandenBroeck and Keller, Equation (20)

analyze441.0ms (1.4%)

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: 279.0ms

Operation ival-div, time spent: 78.0ms, 28.0% of total-time

Operation ival-mult, time spent: 65.0ms, 23.0% of total-time

Operation ival-exp, time spent: 44.0ms, 16.0% of total-time

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

Operation ival-neg, time spent: 25.0ms, 9.0% of total-time

Operation ival-add, time spent: 13.0ms, 5.0% of total-time

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

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

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

sample12.4s (38.1%)

Results

4.1s	4056×	1024	valid
3.3s	3627×	1024	invalid
971.0ms	2044×	512	invalid
1.2s	2019×	512	valid
612.0ms	1854×	256	valid
244.0ms	1007×	256	invalid
590.0ms	326×	2048	valid
1.0ms	7×	256	unsamplable
1.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 8.4s

Operation ival-div, time spent: 2.3s, 27.0% of total-time

Operation ival-exp, time spent: 2.2s, 26.0% of total-time

Operation ival-mult, time spent: 1.6s, 19.0% of total-time

Operation ival-neg, time spent: 842.0ms, 10.0% of total-time

Operation ival-log, time spent: 535.0ms, 6.0% of total-time

Operation ival-sub, time spent: 293.0ms, 3.0% of total-time

Operation ival-add, time spent: 218.0ms, 3.0% of total-time

Operation ival-pi, time spent: 215.0ms, 3.0% of total-time

Operation const, time spent: 148.0ms, 2.0% of total-time

Bogosity

preprocess2.4s (7.2%)

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	Example	Subexpression
248	0	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
4	4	(420018.69746654545)	-	`(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))))))`
3	0	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1	0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
0	0	-	-	`(/.f64 1 (/.f64 (PI.f64) 4))`
0	0	-	-	`1`
0	0	-	-	`4`
0	0	-	-	`(/.f64 (PI.f64) 4)`
0	1	(239.25654753574813)	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	0	-	-	`f`
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	-	-	`(*.f64 (/.f64 (PI.f64) 4) f)`
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	-	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	cancellation	248	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))))))`	sensitivity	7	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	3	0
↳	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	3
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	overflow	3
↳	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	overflow	3
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	overflow	3

Confusion

	Predicted +	Predicted -
+	254	0
-	1	1

Precision

0.996078431372549

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	1	0	1

Precision?

0.996078431372549

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: 1.2s

Operation ival-exp, time spent: 336.0ms, 29.0% of total-time

Operation ival-div, time spent: 309.0ms, 27.0% of total-time

Operation ival-mult, time spent: 252.0ms, 22.0% of total-time

Operation ival-neg, time spent: 91.0ms, 8.0% of total-time

Operation ival-log, time spent: 72.0ms, 6.0% of total-time

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

Operation ival-sub, time spent: 31.0ms, 3.0% of total-time

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

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

eval7.0ms (0%)

Compiler: Compiled 236 to 174 computations (26.3% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.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)))
▶	8.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

98.4%

(*.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)))

▶

8.2%

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

Compiler

Compiled 61 to 49 computations (19.7% saved)

localize1.4s (4.2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2)))
✓	99.6%	(/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))
✓	99.3%	(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	99.1%	(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))))))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	99.1%	(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))))))
✓	98.4%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	11.7%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 309 to 219 computations (29.1% saved)

Precisions

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

Operation ival-exp, time spent: 248.0ms, 24.0% of total-time

Operation ival-div, time spent: 230.0ms, 22.0% of total-time

Operation ival-mult, time spent: 226.0ms, 22.0% of total-time

Operation composed, time spent: 135.0ms, 13.0% of total-time

Operation ival-log, time spent: 58.0ms, 6.0% of total-time

Operation ival-sub, time spent: 57.0ms, 5.0% of total-time

Operation ival-neg, time spent: 36.0ms, 3.0% of total-time

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

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

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

series225.0ms (0.7%)

Counts

8 → 96

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 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))>
#<alt (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2)))>

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))))))))>
#<alt (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 f (+.f64 (.f64 1/2 (.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))))))) (.f64 1/2 (.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))>
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#<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 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 1/2 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (.f64 f (+.f64 1/2 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/96 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/48 (pow.f64 (PI.f64) 2)) (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<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 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (.f64 f (-.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.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 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>

Calls

24 calls:

Time	Variable		Point	Expression
55.0ms	f	@	-inf	(log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1))))
44.0ms	f	@	inf	(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
40.0ms	f	@	-inf	(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
27.0ms	f	@	0	(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
23.0ms	f	@	inf	(log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1))))

rewrite181.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`associate-r`
350×	`associate-l`
257×	`add-exp-log`
257×	`log1p-expm1-u`
255×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	224
1	579	224

Stop Event

1×	node limit

Counts

8 → 136

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 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))
(/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2)))

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

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-define`
756×	`times-frac`
638×	`distribute-lft-out`
600×	`associate-r`
544×	`distribute-rgt-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	8580
1	1069	7796
2	4509	7316

Stop Event

1×	node limit

Counts

232 → 134

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)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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(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))))
(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))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -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)))))))
(+.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))))))))
(+.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))))))))
(.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)))
(.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)))
(.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)))
(.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)))
(.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)))
(.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)))
(.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)))
(.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)))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (+.f64 (.f64 f (+.f64 1/2 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (+.f64 (.f64 f (+.f64 1/2 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/96 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/48 (pow.f64 (PI.f64) 2)) (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.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))
(/.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))
(/.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))
(/.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))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (+.f64 (.f64 f (-.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.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 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.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))
(/.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))
(/.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))
(/.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))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))
(.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (.f64 1/4 (PI.f64))))
(.f64 f (+.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (PI.f64) 1/2)))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/384 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 5) 1/61440))) (.f64 1/384 (pow.f64 (PI.f64) 3))))) (.f64 1/4 (PI.f64))))
(.f64 f (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (.f64 (PI.f64) 1/2)))
(.f64 f (-.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 -1/4 (PI.f64))))
(.f64 f (+.f64 (fma.f64 1/4 (PI.f64) (.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/384 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 2) (+.f64 (fma.f64 1/122880 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 7) 1/41287680))) (.f64 1/122880 (pow.f64 (PI.f64) 5))))) (.f64 1/384 (pow.f64 (PI.f64) 3))))) (.f64 1/4 (PI.f64))))
(.f64 f (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)) (.f64 (pow.f64 (PI.f64) 5) 1/61440))) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) f)
(/.f64 (fma.f64 f (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (/.f64 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (fma.f64 f 0 (/.f64 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 0) f)
(/.f64 (+.f64 (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))))) (.f64 2 (/.f64 1 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (fma.f64 f (+.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))) (/.f64 2 (*.f64 (PI.f64) 1/2))) f)
(/.f64 (fma.f64 f (+.f64 (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))) 0) (/.f64 2 (.f64 (PI.f64) 1/2))) f)
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(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval115.0ms (0.4%)

Compiler: Compiled 6197 to 4664 computations (24.7% saved)

prune27.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	125	9	134
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	127	9	136

Accuracy

99.2%

Counts

136 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.7%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	96.1%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
	95.2%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	95.2%	(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
▶	95.7%	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
▶	98.6%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) 0) f))))
▶	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
	8.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 414 to 330 computations (20.3% saved)

localize2.6s (7.9%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.3%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	98.9%	(.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
✓	98.4%	(*.f64 1/12 (PI.f64))
✓	97.5%	(+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))
✓	99.6%	(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)))
	99.6%	(/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2)))
✓	99.4%	(/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)
✓	99.3%	(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.6%	(log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	99.6%	(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
✓	99.6%	(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
✓	99.5%	(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2))))) (PI.f64))
✓	99.1%	(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))))

Compiler

Compiled 610 to 424 computations (30.5% saved)

Precisions

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

Operation ival-mult, time spent: 559.0ms, 28.0% of total-time

Operation ival-log, time spent: 334.0ms, 17.0% of total-time

Operation ival-div, time spent: 328.0ms, 16.0% of total-time

Operation composed, time spent: 328.0ms, 16.0% of total-time

Operation ival-exp, time spent: 189.0ms, 9.0% of total-time

Operation ival-sub, time spent: 131.0ms, 6.0% of total-time

Operation ival-add, time spent: 86.0ms, 4.0% of total-time

Operation const, time spent: 58.0ms, 3.0% of total-time

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

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

series135.0ms (0.4%)

Counts

18 → 157

Calls

Call 1

Inputs
#<alt (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2))))) (PI.f64))>
#<alt (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))>
#<alt (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))>
#<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 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))>
#<alt (.f64 f (.f64 (PI.f64) 1/2))>
#<alt (log.f64 (/.f64 4 (PI.f64)))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))>
#<alt (.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))>
#<alt (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)))>
#<alt (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))>
#<alt (*.f64 1/12 (PI.f64))>
#<alt (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))>
#<alt (.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))>

Outputs
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/4 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (-.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 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.f64 f (.f64 (PI.f64) (-.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 1/4 (.f64 (PI.f64) (-.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 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.f64 (PI.f64) (-.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 1/24 (.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))))))))))) (.f64 1/4 (.f64 (PI.f64) (-.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))))))))))))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/4 (.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)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.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 1/4 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (-.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 1/24 (/.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))) (.f64 1/4 (-.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (/.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 (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 (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 (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 (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))>
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#<alt (-.f64 (+.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)))) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))) 3))))) (/.f64 2 (.f64 f (.f64 (PI.f64) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))) 2))))))>
#<alt (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))))>
#<alt (+.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)))) (.f64 2 (/.f64 1 (.f64 f (.f64 (PI.f64) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (*.f64 f (PI.f64)))) 1))))))))>
#<alt (+.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 f (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))) 2))))) (.f64 2 (/.f64 1 (.f64 (PI.f64) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))))))) f)))>
#<alt (+.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 8/3 (/.f64 1 (.f64 f (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))) 3))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))) 2))))) f)) (.f64 2 (/.f64 1 (.f64 (PI.f64) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (*.f64 f (PI.f64)))) 1))))))) f)))>
#<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 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (+.f64 (.f64 -1/12 (PI.f64)) (*.f64 1/8 (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 -1/48 (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 -1 (+.f64 (.f64 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (+.f64 (.f64 -1/12 (PI.f64)) (*.f64 1/8 (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 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 f (+.f64 (.f64 -1 (+.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 -1/6 (/.f64 (.f64 f (+.f64 (.f64 -3/4 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64)))) 2))) (.f64 6 (.f64 (PI.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)))))))))))))))) (PI.f64))))))))>
#<alt (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 -4 (/.f64 (+.f64 (/.f64 1 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1)))) (.f64 1/2 (/.f64 1 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) f)))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 -4 (/.f64 (+.f64 (/.f64 1 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1)))) (.f64 1/2 (/.f64 1 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) f)) (.f64 -2 (/.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 2))) (.f64 4 (/.f64 1 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (*.f64 (pow.f64 f 2) (PI.f64))))))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 -4 (/.f64 (+.f64 (/.f64 1 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1)))) (.f64 1/2 (/.f64 1 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) f)) (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 2))) (.f64 4 (/.f64 1 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (.f64 (pow.f64 f 2) (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 3))) (.f64 12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 2))))) (.f64 (pow.f64 f 3) (PI.f64)))))))>
#<alt (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) (.f64 f (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 -1 (/.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 2))) (.f64 4 (/.f64 1 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (.f64 f (PI.f64)))) (.f64 4 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) f)))>
#<alt (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 2))) (.f64 4 (/.f64 1 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (PI.f64))) (.f64 2/3 (/.f64 (+.f64 (.f64 -12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 2)))) (.f64 -2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))) 3)))) (.f64 f (PI.f64))))) f)) (.f64 4 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))) (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) f)))>

Calls

45 calls:

Time	Variable		Point	Expression
22.0ms	f	@	0	(/ (- (log (/ 4 (PI))) (log f)) (PI))
19.0ms	f	@	0	(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
18.0ms	f	@	-inf	(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
14.0ms	f	@	-inf	(/ (- (log (/ 4 (PI))) (log f)) (PI))
8.0ms	f	@	0	(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f))) (/ -4 (PI)))

rewrite170.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log1p-expm1-u`
505×	`expm1-log1p-u`
500×	`add-exp-log`
494×	`add-log-exp`
480×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	687
1	1272	687

Stop Event

1×	node limit

Counts

18 → 344

Calls

Call 1

Inputs
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2))))) (PI.f64))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2)))
(.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)))
(log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)))
(+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))
(*.f64 1/12 (PI.f64))
(.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))

Outputs
(+.f64 0 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))) 1)
(-.f64 (log.f64 (-.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) (.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) 1))) (log.f64 (.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -3) (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) -3))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (+.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) -2) (pow.f64 (.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) -2) (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) -2))) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(.f64 1 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))
(.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))
(pow.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) 2)
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))))
(log1p.f64 (-.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) 1))
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(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) -1/8) 2) (pow.f64 (.f64 (PI.f64) 1/12) 2)) (fma.f64 (PI.f64) -1/8 (neg.f64 (*.f64 (PI.f64) 1/12))))
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) -1/24)) 1))
(fma.f64 1 (.f64 (PI.f64) -1/8) (.f64 (PI.f64) 1/12))
(fma.f64 1 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/8))
(fma.f64 (PI.f64) -1/8 (*.f64 (PI.f64) 1/12))
(fma.f64 (PI.f64) 1/12 (*.f64 (PI.f64) -1/8))
(fma.f64 -1/8 (PI.f64) (*.f64 (PI.f64) 1/12))
(fma.f64 1/12 (PI.f64) (*.f64 (PI.f64) -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) -1/8)) 2) (cbrt.f64 (.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) -1/8)) (sqrt.f64 (.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/12)) (sqrt.f64 (.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) 1))
(+.f64 (.f64 f (.f64 (PI.f64) -1/8)) (.f64 f (.f64 (PI.f64) 1/12)))
(+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) -1/24)))) 1)
(pow.f64 (.f64 f (.f64 (PI.f64) -1/24)) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/24))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) -1/24)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) -1/24))) 2)
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/24)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) -1/24)) 3))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) -1/24))))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) -1/24))))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) -1/24))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) -1/24))) 1))
(fma.f64 f (.f64 (PI.f64) -1/8) (.f64 f (*.f64 (PI.f64) 1/12)))
(fma.f64 (.f64 (PI.f64) -1/8) f (.f64 (*.f64 (PI.f64) 1/12) f))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))) 1)
(/.f64 (.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))) 1))

simplify234.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-r`
1234×	`fma-define`
712×	`distribute-lft-in`
708×	`distribute-rgt-in`
490×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1169	25981
1	2887	25247

Stop Event

1×	node limit

Counts

501 → 603

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/4 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.f64 f (.f64 (PI.f64) (-.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 1/4 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.f64 (PI.f64) (-.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 1/24 (.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))))))))))) (.f64 1/4 (.f64 (PI.f64) (-.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))))))))))))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/4 (.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)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.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 1/4 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (-.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 1/24 (/.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))) (.f64 1/4 (-.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(/.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))
(/.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))
(/.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))
(/.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))
(/.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))
(/.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))
(/.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))
(/.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))
(/.f64 -2 (*.f64 f (PI.f64)))
(/.f64 (-.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (-.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (-.f64 (.f64 f (-.f64 (.f64 f (-.f64 (.f64 -1 (.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))))))))) (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.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))
(/.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))
(/.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))
(/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))
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(pow.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))) 1))

Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/4 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/4 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (pow.f64 f 2) (.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) 1/12))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.f64 f (.f64 (PI.f64) (-.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 1/4 (.f64 (PI.f64) (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 (pow.f64 f 2) (.f64 1/4 (+.f64 (.f64 f (.f64 (PI.f64) (-.f64 (.f64 1/4 (.f64 (PI.f64) (.f64 (PI.f64) 1/24))) (.f64 -1/4 (.f64 (PI.f64) (.f64 (PI.f64) -1/24)))))) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)))))))
(+.f64 (.f64 (.f64 (pow.f64 f 2) 1/4) (fma.f64 f (.f64 (PI.f64) (.f64 1/4 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) (.f64 (pow.f64 (PI.f64) 2) -1/24)))) (*.f64 (pow.f64 (PI.f64) 2) 1/12))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
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(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(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))))
(log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 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 (PI.f64) (.f64 f -1/2))))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/4 (.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)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/4 (.f64 (pow.f64 f 2) (-.f64 (.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (.f64 (pow.f64 f 2) (.f64 1/4 (*.f64 (PI.f64) 1/12))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.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 1/4 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (pow.f64 f 2) (.f64 1/4 (+.f64 (.f64 f (-.f64 (.f64 1/4 (.f64 (PI.f64) (.f64 (PI.f64) 1/24))) (.f64 -1/4 (.f64 (PI.f64) (.f64 (PI.f64) -1/24))))) (-.f64 (.f64 (PI.f64) 1/24) (.f64 (PI.f64) -1/24)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
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(/.f64 (.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) 3)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(pow.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 3) 1/3)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(pow.f64 (sqrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) 2)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) -1))
(cbrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) 3))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) -1))
(exp.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (.f64 -1 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))) 1))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))))

eval368.0ms (1.1%)

Compiler: Compiled 19695 to 14977 computations (24% saved)

prune132.0ms (0.4%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	590	27	617
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	597	29	626

Accuracy

99.6%

Counts

626 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
	95.7%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	48.7%	(.f64 (-.f64 (log.f64 (+.f64 f (.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (fma.f64 f 1/2 (/.f64 2 (PI.f64)))))) (log.f64 (.f64 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))) f))) (/.f64 -4 (PI.f64)))
	95.3%	(.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (.f64 f (.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
▶	95.3%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
	96.1%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
	95.2%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
	94.2%	(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
	96.9%	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 3))
	94.9%	(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
	1.6%	(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
	95.4%	(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
▶	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
▶	95.4%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	94.5%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	96.3%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) -1))) (PI.f64)))
✓	98.6%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	94.3%	(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
	97.5%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) (PI.f64)))
	95.3%	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	98.5%	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
	95.7%	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	95.2%	(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
	95.3%	(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
▶	94.2%	(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 2)))))

Compiler

Compiled 1167 to 956 computations (18.1% saved)

localize3.8s (11.6%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
✓	97.0%	(PI.f64)
✓	99.7%	(-.f64 (log.f64 2) (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	97.0%	(PI.f64)
	98.9%	(.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
	98.5%	(*.f64 1/12 (PI.f64))
	97.6%	(+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64)))
✓	97.0%	(PI.f64)
✓	99.6%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	97.0%	(PI.f64)
✓	99.6%	(/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))
✓	99.5%	(/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1))) (PI.f64))
✓	97.0%	(PI.f64)

Compiler

Compiled 570 to 419 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.7s

Operation ival-mult, time spent: 954.0ms, 35.0% of total-time

Operation ival-log, time spent: 576.0ms, 21.0% of total-time

Operation ival-add, time spent: 371.0ms, 14.0% of total-time

Operation ival-div, time spent: 327.0ms, 12.0% of total-time

Operation composed, time spent: 230.0ms, 8.0% of total-time

Operation ival-exp, time spent: 117.0ms, 4.0% of total-time

Operation ival-sub, time spent: 91.0ms, 3.0% of total-time

Operation const, time spent: 52.0ms, 2.0% of total-time

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

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

series344.0ms (1.1%)

Counts

16 → 132

Calls

Call 1

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

Outputs
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/4 (.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)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.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 1/4 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (-.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 1/24 (/.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))) (.f64 1/4 (-.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (/.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 (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 (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 (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 (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 (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 (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 (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 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)>
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#<alt (/.f64 (+.f64 (.f64 f (+.f64 1/2 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/96 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/48 (pow.f64 (PI.f64) 2)) (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))))) (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)>
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#<alt (/.f64 (+.f64 (.f64 f (-.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.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 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>

Calls

33 calls:

Time	Variable		Point	Expression
231.0ms	f	@	0	(* (/ 1 (/ (PI) 4)) (- (log 2) (log (* f (* (PI) 1/2)))))
15.0ms	f	@	-inf	(* (/ 1 (/ (PI) 4)) (- (log 2) (log (* f (* (PI) 1/2)))))
10.0ms	f	@	inf	(* (/ 1 (/ (PI) 4)) (- (log 2) (log (* f (* (PI) 1/2)))))
1.0ms	f	@	0	(/ (log (+ 1 (+ (/ 1 (- (exp (* f (* (PI) 1/2))) 1)) (+ (/ -1 (- (exp (* (PI) (* f -1/2))) 1)) -1)))) (PI))
0.0ms	f	@	-inf	(/ (log (+ 1 (+ (/ 1 (- (exp (* f (* (PI) 1/2))) 1)) (+ (/ -1 (- (exp (* (PI) (* f -1/2))) 1)) -1)))) (PI))

rewrite161.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`associate-r`
306×	`associate-l`
260×	`frac-times`
255×	`log1p-expm1-u`
253×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	368
1	587	368

Stop Event

1×	node limit

Counts

16 → 482

Calls

Call 1

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

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

simplify397.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-r`
1136×	`associate-l`
1092×	`times-frac`
930×	`associate-/r*`
528×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	858	24476
1	2051	23309

Stop Event

1×	node limit

Counts

614 → 455

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
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(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/4 (.f64 (pow.f64 f 2) (-.f64 (.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (.f64 (pow.f64 f 2) (.f64 1/4 (*.f64 (PI.f64) 1/12))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (pow.f64 f 2) (.f64 1/4 (+.f64 (.f64 f (-.f64 (.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/24)) (.f64 -1/4 (.f64 (PI.f64) (.f64 (PI.f64) -1/24))))) (-.f64 (.f64 (PI.f64) 1/24) (.f64 (PI.f64) -1/24)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (PI.f64)))
(.f64 (/.f64 1 (neg.f64 (PI.f64))) (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))

eval602.0ms (1.9%)

Compiler: Compiled 23841 to 18042 computations (24.3% saved)

prune226.0ms (0.7%)

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	919	12	931
Fresh	6	17	23
Picked	1	4	5
Done	0	1	1
Total	926	34	960

Accuracy

99.6%

Counts

960 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
	95.7%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	95.3%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
✓	95.3%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
	95.3%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
	96.1%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
	95.2%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
	96.9%	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 3))
	95.7%	(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
	1.6%	(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
▶	95.8%	(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
	95.4%	(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1))) (PI.f64)))
✓	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
▶	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
▶	95.0%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	95.4%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	94.5%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	96.3%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) -1))) (PI.f64)))
✓	98.6%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	95.6%	(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
	97.5%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) (PI.f64)))
	95.3%	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	98.5%	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
	95.7%	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	95.2%	(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
	95.3%	(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
✓	94.2%	(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	95.6%	(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
▶	95.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
▶	76.9%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

Compiler

Compiled 1321 to 1085 computations (17.9% saved)

localize2.4s (7.5%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3)))
	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(cbrt.f64 (pow.f64 (PI.f64) 3))
✓	100.0%	(log.f64 (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
✓	99.6%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.3%	(.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	91.8%	(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
✓	81.1%	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
✓	100.0%	(log.f64 (.f64 f (.f64 (PI.f64) 1/4)))
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/4))
✓	99.5%	(/.f64 (neg.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (PI.f64))
✓	99.6%	(/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))))
	99.6%	(/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))
✓	99.5%	(+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1)
✓	99.5%	(/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1))) (PI.f64))

Compiler

Compiled 372 to 267 computations (28.2% saved)

Precisions

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

Operation composed, time spent: 802.0ms, 31.0% of total-time

Operation ival-log, time spent: 593.0ms, 23.0% of total-time

Operation ival-mult, time spent: 325.0ms, 13.0% of total-time

Operation ival-exp, time spent: 251.0ms, 10.0% of total-time

Operation ival-div, time spent: 220.0ms, 9.0% of total-time

Operation ival-pow, time spent: 127.0ms, 5.0% of total-time

Operation ival-sub, time spent: 93.0ms, 4.0% of total-time

Operation ival-add, time spent: 72.0ms, 3.0% of total-time

Operation const, time spent: 42.0ms, 2.0% of total-time

Operation ival-neg, time spent: 19.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 18.0ms, 1.0% of total-time

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

series132.0ms (0.4%)

Counts

17 → 180

Calls

Call 1

Inputs
#<alt (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1))) (PI.f64))>
#<alt (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1)>
#<alt (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))))>
#<alt (/.f64 (neg.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (PI.f64))>
#<alt (.f64 f (.f64 (PI.f64) 1/4))>
#<alt (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))>
#<alt (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))>
#<alt (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))>
#<alt (/.f64 4 (*.f64 (PI.f64) f))>
#<alt (*.f64 (PI.f64) f)>
#<alt (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))>
#<alt (.f64 (.f64 (PI.f64) 1/2) f)>
#<alt (-.f64 (log.f64 2) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))>
#<alt (log.f64 (.f64 (.f64 (PI.f64) 1/2) f))>
#<alt (cbrt.f64 (pow.f64 (PI.f64) 3))>
#<alt (pow.f64 (PI.f64) 3)>
#<alt (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3)))>

Outputs
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/4 (.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)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.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 1/4 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
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#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (.f64 -1/2 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>

Calls

45 calls:

Time	Variable		Point	Expression
23.0ms	f	@	0	(log (pow (/ 4 (* (PI) f)) (/ 4 (PI))))
21.0ms	f	@	-inf	(log (pow (/ 4 (* (PI) f)) (/ 4 (PI))))
20.0ms	f	@	inf	(log (pow (/ 4 (* (PI) f)) (/ 4 (PI))))
19.0ms	f	@	0	(/ (neg (log (* f (* (PI) 1/4)))) (PI))
18.0ms	f	@	-inf	(/ (neg (log (* f (* (PI) 1/4)))) (PI))

rewrite157.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

335×	`log1p-expm1-u`
332×	`expm1-log1p-u`
323×	`add-exp-log`
322×	`pow1`
319×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	465
1	810	461

Stop Event

1×	node limit

Counts

17 → 398

Calls

Call 1

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

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

simplify209.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-r`
1104×	`associate-l`
764×	`associate-/r*`
660×	`times-frac`
486×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1038	22503
1	2256	21328

Stop Event

1×	node limit

Counts

578 → 651

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/4 (.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)))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/4 (.f64 (pow.f64 f 2) (-.f64 (.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (fma.f64 (.f64 1/4 (pow.f64 f 2)) (.f64 (PI.f64) 1/12) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/4 (.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 1/4 (-.f64 (+.f64 (.f64 -1/12 (PI.f64)) (.f64 1/8 (PI.f64))) (+.f64 (.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (pow.f64 f 2) (.f64 1/4 (+.f64 (.f64 f (-.f64 (.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/24)) (.f64 -1/4 (.f64 (PI.f64) (.f64 (PI.f64) -1/24))))) (-.f64 (.f64 (PI.f64) 1/24) (.f64 (PI.f64) -1/24)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (fma.f64 (pow.f64 f 2) (.f64 1/4 (fma.f64 f (.f64 1/4 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) (.f64 (pow.f64 (PI.f64) 2) -1/24))) (*.f64 (PI.f64) 1/12))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
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(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (pow.f64 f 2) (fma.f64 1/4 (-.f64 (.f64 (PI.f64) 1/24) (.f64 (PI.f64) -1/24)) (.f64 f (fma.f64 1/24 (.f64 f (/.f64 (fma.f64 -3/4 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (.f64 (PI.f64) 1/24) (.f64 (PI.f64) -1/24)) 2)) (.f64 6 (.f64 (PI.f64) (-.f64 (fma.f64 -1/24 (.f64 (.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (fma.f64 -1/960 (pow.f64 (PI.f64) 3) (fma.f64 1/384 (pow.f64 (PI.f64) 3) (.f64 1/4 (.f64 (PI.f64) (+.f64 (.f64 (pow.f64 (PI.f64) 2) -1/96) (.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/24)))))))) (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (PI.f64) -1/24)) (.f64 (pow.f64 (PI.f64) 2) -1/96))) (fma.f64 -1/24 (.f64 (.f64 (PI.f64) -1/24) (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) -1/640))))))) (PI.f64))) (.f64 1/4 (-.f64 (.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/24)) (.f64 -1/4 (.f64 (PI.f64) (*.f64 (PI.f64) -1/24)))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 1/4 (.f64 1/4 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) (.f64 (pow.f64 (PI.f64) 2) -1/24))) (.f64 f (.f64 (/.f64 (fma.f64 -3/4 (.f64 (.f64 (PI.f64) 1/12) (.f64 1/12 (pow.f64 (PI.f64) 3))) (.f64 (PI.f64) (.f64 (-.f64 (fma.f64 -1/24 (.f64 (pow.f64 (PI.f64) 3) 1/24) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/640) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (.f64 1/4 (.f64 (pow.f64 (PI.f64) 2) 1/24))) (.f64 (PI.f64) 1/4)))) (fma.f64 -1/4 (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/96) (.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/24))) (fma.f64 -1/24 (.f64 (pow.f64 (PI.f64) 3) -1/24) (.f64 (pow.f64 (PI.f64) 3) -1/640)))) 6))) (PI.f64)) 1/24))) (.f64 1/4 (*.f64 (PI.f64) 1/12))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.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))
(/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))) (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)))))) (PI.f64))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 2 (*.f64 (PI.f64) f))
(/.f64 (/.f64 2 (PI.f64)) f)
(/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (fma.f64 -1/2 f (/.f64 2 (PI.f64))) f)
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(/.f64 (fma.f64 f (fma.f64 f (*.f64 (PI.f64) 1/24) -1/2) (/.f64 2 (PI.f64))) f)
(/.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)
(/.f64 (fma.f64 f (fma.f64 f (+.f64 (.f64 (PI.f64) 1/24) (.f64 f (+.f64 (.f64 (pow.f64 (PI.f64) 2) -1/96) (.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/24))))) -1/2) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) 1/24 (.f64 f (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) 1/24))))) -1/2) (/.f64 2 (PI.f64))) f)
(.f64 -1 (+.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))))
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(log1p.f64 (-.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1))
(log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/2) -1))
(exp.f64 (log.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(log.f64 (.f64 f (.f64 (PI.f64) 1/2)))
(log.f64 (.f64 (PI.f64) (.f64 f 1/2)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log.f64 (.f64 f (.f64 (PI.f64) 1/2)))
(log.f64 (.f64 (PI.f64) (.f64 f 1/2)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(expm1.f64 (log1p.f64 (PI.f64)))
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) 2) 1/3))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(PI.f64)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(PI.f64)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 1))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))

eval383.0ms (1.2%)

Compiler: Compiled 16041 to 12336 computations (23.1% saved)

prune189.0ms (0.6%)

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	739	8	747
Fresh	5	19	24
Picked	0	5	5
Done	1	4	5
Total	745	36	781

Accuracy

99.6%

Counts

781 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
	95.7%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	95.3%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
	96.1%	(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
	96.9%	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 3))
	95.7%	(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
	1.6%	(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
	6.3%	(.f64 -4 (/.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 f (*.f64 (PI.f64) 1/4)) 1))) (PI.f64)))
✓	95.8%	(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
	95.4%	(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1))) (PI.f64)))
✓	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (fma.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))) -1))) (PI.f64)))
✓	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
✓	95.0%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	95.4%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	94.5%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	96.3%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	98.6%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) -1))) (PI.f64)))
✓	98.6%	(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
	1.8%	(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
	97.5%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) (PI.f64)))
	95.3%	(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	98.5%	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
	1.8%	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
	95.7%	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	98.5%	(.f64 -4 (.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) (/.f64 1 (PI.f64))))
	95.3%	(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
✓	94.2%	(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	95.6%	(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
✓	95.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
	95.2%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
✓	76.9%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

Compiler

Compiled 1910 to 1493 computations (21.8% saved)

regimes231.0ms (0.7%)

Counts

58 → 1

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 f (*.f64 (PI.f64) 1/4)) 1))) (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)) (neg.f64 (log.f64 (/.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) 0) f))))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(*.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 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (.f64 f (.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (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 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) (PI.f64)))
(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 3))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 (-.f64 (log.f64 (+.f64 f (.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (fma.f64 f 1/2 (/.f64 2 (PI.f64)))))) (log.f64 (.f64 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))))) (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (fma.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))) -1))) (PI.f64)))

Outputs
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))

Calls

6 calls:

140.0ms	(.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)))))))
34.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
29.0ms	f
9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
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))))))

Results

Accuracy	Segments	Branch
98.6%	1	`f`
98.6%	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))))))))`
98.6%	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)))))))`
98.6%	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))))))`
98.6%	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)))))`
98.6%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes59.0ms (0.2%)

Counts

51 → 1

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 f (*.f64 (PI.f64) 1/4)) 1))) (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)) (neg.f64 (log.f64 (/.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) 0) f))))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(*.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 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (.f64 f (.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (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 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))))) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))) (PI.f64)))
(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 3))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))

Outputs
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes26.0ms (0.1%)

Counts

45 → 1

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 f (*.f64 (PI.f64) 1/4)) 1))) (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)) (neg.f64 (log.f64 (/.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) 0) f))))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(*.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 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (.f64 f (.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (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 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))))))))

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.1%)

Counts

42 → 1

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 f (*.f64 (PI.f64) 1/4)) 1))) (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)) (neg.f64 (log.f64 (/.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) 0) f))))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(*.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 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (.f64 f (.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))

Outputs

(*.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.1%)

Counts

35 → 1

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 f (*.f64 (PI.f64) 1/4)) 1))) (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)) (neg.f64 (log.f64 (/.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) 0) f))))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(*.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 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (.f64 f (.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))

Outputs

(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.1%)

Counts

34 → 1

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(.f64 -4 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 f (*.f64 (PI.f64) 1/4)) 1))) (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)) (neg.f64 (log.f64 (/.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) 0) f))))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) -1/8) f) (.f64 (.f64 (PI.f64) 1/12) f))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (.f64 1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/24))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(*.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 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(/.f64 (.f64 -4 (log.f64 (+.f64 1/2 (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 (PI.f64) 1/4))))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (/.f64 2 f) (PI.f64)) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/2 f) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (.f64 f (.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 (+.f64 (.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
95.8%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.8%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

108×	`*-commutative`
70×	`+-commutative`
54×	`sub-neg`
52×	`neg-sub0`
48×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	617
1	151	617
2	190	617
3	245	609
4	306	609
5	330	609
6	340	609
7	342	609

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))

Outputs
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))))) (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2)))) -1))) (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (+.f64 (+.f64 -1 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (/.f64 1 (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f (PI.f64)) 1/2))) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (.f64 f (PI.f64))))) (/.f64 1 (expm1.f64 (.f64 -1/2 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (.f64 f (PI.f64))))) (/.f64 -1 (expm1.f64 (.f64 -1/2 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (+.f64 (.f64 -1/8 (PI.f64)) (.f64 1/12 (PI.f64))))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (neg.f64 (.f64 f (+.f64 (.f64 (PI.f64) -1/8) (.f64 (PI.f64) 1/12)))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 -1/2 (.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/8) (.f64 (PI.f64) 1/12)) (neg.f64 f)) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 1 (expm1.f64 (.f64 -1/2 (.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 (-.f64 (.f64 2 (/.f64 1 (PI.f64))) (.f64 f (+.f64 1/2 (.f64 f (+.f64 (.f64 (PI.f64) -1/8) (.f64 (PI.f64) 1/12)))))) f) (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 f (-.f64 (.f64 -1 (.f64 f (.f64 (PI.f64) -1/24))) 1/2)) (.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (/.f64 (+.f64 (.f64 2 (/.f64 1 (PI.f64))) (.f64 f (-.f64 (neg.f64 (.f64 f (*.f64 (PI.f64) -1/24))) 1/2))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (/.f64 (+.f64 (.f64 2 (/.f64 1 (PI.f64))) (.f64 f (-.f64 (.f64 f (neg.f64 (*.f64 (PI.f64) -1/24))) 1/2))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (/.f64 (+.f64 (.f64 2 (/.f64 1 (PI.f64))) (.f64 f (-.f64 (neg.f64 1/2) (.f64 f (*.f64 (PI.f64) -1/24))))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (/.f64 (-.f64 (.f64 2 (/.f64 1 (PI.f64))) (.f64 f (+.f64 1/2 (.f64 f (*.f64 (PI.f64) -1/24))))) f))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))

Compiler

Compiled 177 to 143 computations (19.2% saved)

soundness2.1s (6.4%)

Rules

3700×	`fma-define`
1678×	`fma-neg`
1336×	`associate-r`
1234×	`fma-define`
1212×	`associate-r`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	1169	25981
1	2887	25247
0	67	687
1	1272	687
0	339	8580
1	1069	7796
2	4509	7316
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
0	1038	22503
1	2256	21328
0	49	465
1	810	461
0	858	24476
1	2051	23309
0	37	368
1	587	368

Stop Event

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

Compiler

Compiled 1278 to 993 computations (22.3% saved)

end0.0ms (0%)

preprocess115.0ms (0.4%)

Compiler: Compiled 416 to 316 computations (24% saved)

analyze441.0ms (1.4%)

sample12.4s (38.1%)

preprocess2.4s (7.2%)

eval7.0ms (0%)

prune3.0ms (0%)

localize1.4s (4.2%)

series225.0ms (0.7%)

rewrite181.0ms (0.6%)

simplify141.0ms (0.4%)

eval115.0ms (0.4%)

prune27.0ms (0.1%)

localize2.6s (7.9%)

series135.0ms (0.4%)

rewrite170.0ms (0.5%)

simplify234.0ms (0.7%)

eval368.0ms (1.1%)

prune132.0ms (0.4%)

localize3.8s (11.6%)

series344.0ms (1.1%)

rewrite161.0ms (0.5%)

simplify397.0ms (1.2%)

eval602.0ms (1.9%)

prune226.0ms (0.7%)

localize2.4s (7.5%)

series132.0ms (0.4%)

rewrite157.0ms (0.5%)

simplify209.0ms (0.6%)

eval383.0ms (1.2%)

prune189.0ms (0.6%)

regimes231.0ms (0.7%)

regimes59.0ms (0.2%)

regimes26.0ms (0.1%)

regimes23.0ms (0.1%)

regimes21.0ms (0.1%)

regimes22.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify56.0ms (0.2%)

soundness2.1s (6.4%)

end0.0ms (0%)

preprocess115.0ms (0.4%)

Profiling