Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze205.0ms (1.2%)

Memory

18.4MiB live, 252.9MiB allocated

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%	37.5%	0%	4
0%	0%	56.2%	0%	0%	43.7%	0%	5
0%	0%	53.1%	0%	0%	46.9%	0%	6
3.1%	1.6%	48.4%	0%	0%	50%	0%	7
4.8%	2.3%	46.1%	0%	0%	51.5%	0%	8
5.6%	2.7%	45.7%	0%	0%	51.5%	0%	9
6.5%	3.1%	45.1%	0%	0%	51.7%	0%	10
6.9%	3.3%	44.8%	0%	0%	51.8%	0%	11
6.9%	3.3%	44.8%	0%	0%	51.9%	0%	12

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample7.7s (44.3%)

Memory

120.6MiB live, 7 504.8MiB allocated

Samples

3.1s	7 070×	1	invalid
2.9s	7 575×	1	valid
253.0ms	194×	2	valid
103.0ms	487×	0	valid
1.0ms	6×	0	invalid
1.0ms	6×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-exp: 1.6s (28.2% of total)

ival-div: 752.0ms (13.3% of total)

ival-neg: 706.0ms (12.5% of total)

adjust: 674.0ms (11.9% of total)

ival-mult: 549.0ms (9.7% of total)

ival-pi: 514.0ms (9.1% of total)

ival-log: 425.0ms (7.5% of total)

ival-sub: 248.0ms (4.4% of total)

ival-add: 167.0ms (2.9% of total)

exact: 17.0ms (0.3% of total)

ival-true: 13.0ms (0.2% of total)

ival-assert: 7.0ms (0.1% of total)

Bogosity

explain846.0ms (4.9%)

Memory

23.2MiB live, 616.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
249	0	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
3	0	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
2	3	(49368.52145147261)	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
0	0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	-	`f`
0	0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	cancellation	249	0
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`	sensitivity	5	0
`/.f64`	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`	o/o	3	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	3
↳	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	overflow	3
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	3
↳	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	overflow	3

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	251
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

484.0ms	478×	1	valid
19.0ms	6×	2	valid
4.0ms	28×	0	valid

Compiler

Compiled 629 to 68 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-exp: 81.0ms (26.3% of total)

ival-div: 78.0ms (25.3% of total)

ival-sub: 51.0ms (16.6% of total)

ival-neg: 42.0ms (13.6% of total)

ival-mult: 21.0ms (6.8% of total)

ival-log: 12.0ms (3.9% of total)

adjust: 11.0ms (3.6% of total)

ival-pi: 5.0ms (1.6% of total)

ival-add: 5.0ms (1.6% of total)

ival-true: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

preprocess461.0ms (2.7%)

Memory

-60.5MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	53	64
2	163	64
3	458	64
4	878	64
5	1200	64
6	1440	64
7	1537	64
8	1770	64
9	1897	64
10	2161	52
11	2481	50
12	2715	50
13	3126	50
14	3765	50
15	4525	50
16	5273	50
17	6484	50
18	6758	50
19	6770	50
20	7470	50
0	16	37
0	29	37
1	58	32
2	133	32
3	278	32
4	408	32
5	513	32
6	607	32
7	742	32
8	850	32
9	1064	32
10	1288	32
11	1420	32
12	1559	32
13	1665	32
14	1873	32
15	2285	32
16	3142	32
17	4668	25
18	5411	25
19	7617	25
0	8447	22

Stop Event

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

Calls

Call 1

Inputs

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Outputs

(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))

Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

6.9%

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Compiler

Compiled 37 to 16 computations (56.8% saved)

simplify264.0ms (1.5%)

Memory

27.8MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	384	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	38144	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	196
0	29	196
1	58	177
2	133	177
3	278	177
4	408	177
5	513	177
6	607	177
7	742	177
8	850	177
9	1064	177
10	1288	177
11	1420	177
12	1559	177
13	1665	177
14	1873	177
15	2285	177
16	3142	177
17	4668	149
18	5411	149
19	7617	149
0	8447	137

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Outputs
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))
(.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 f (PI.f64)))))))
(-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 f (PI.f64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 f (PI.f64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))
(.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 f (PI.f64))))

localize162.0ms (0.9%)

Memory

5.3MiB live, 125.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.36353530139564627	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
accuracy	0.4889450195368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy	1.0273520031524757	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy	57.10616481136129	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Samples

141.0ms	239×	1	valid
3.0ms	3×	2	valid
2.0ms	14×	0	valid

Compiler

Compiled 394 to 34 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 29.0ms (25.8% of total)

ival-add: 24.0ms (21.3% of total)

adjust: 19.0ms (16.9% of total)

ival-exp: 17.0ms (15.1% of total)

ival-div: 9.0ms (8% of total)

ival-log: 6.0ms (5.3% of total)

ival-neg: 4.0ms (3.6% of total)

ival-pi: 2.0ms (1.8% of total)

ival-sub: 2.0ms (1.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series116.0ms (0.7%)

Memory

-0.6MiB live, 149.6MiB allocated

Counts

7 → 60

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

Time	Variable		Point	Expression
50.0ms	f	@	inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
41.0ms	f	@	-inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
20.0ms	f	@	0	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

Time

Variable

Point

Expression

50.0ms

inf

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

41.0ms

-inf

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

20.0ms

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

simplify144.0ms (0.8%)

Memory

-0.9MiB live, 156.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1850
1	553	1668
2	2129	1484
0	9075	1459

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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Outputs
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(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
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(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))

rewrite160.0ms (0.9%)

Memory

-12.7MiB live, 303.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52

Stop Event

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

Counts

7 → 561

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Outputs
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eval151.0ms (0.9%)

Memory: 36.0MiB live, 340.7MiB allocated
Compiler: Compiled 33 920 to 3 663 computations (89.2% saved)

prune41.0ms (0.2%)

Memory

-25.5MiB live, 138.4MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	765	20	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	766	20	786

Accuracy

99.5%

Counts

786 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	97.3%	(/.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
▶	98.8%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶	97.6%	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
	98.8%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	98.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
	97.1%	(.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	97.4%	(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
	98.6%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	98.7%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))))))
	98.6%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	97.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))))))
	97.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
▶	98.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
	97.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
	97.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 156 to 692 computations (40.1% saved)

simplify113.0ms (0.7%)

Memory

34.7MiB live, 153.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
cost-diff	0	(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
cost-diff	128	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
cost-diff	0	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	0	(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff	0	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	476
0	76	458
1	164	438
2	398	437
3	1063	437
4	2656	397
5	4101	397
6	5939	397
7	7106	397
0	8050	396

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))

Outputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#s(literal 1 binary64)
(/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (PI.f64)) #s(literal 4 binary64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(/.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))
(.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))
(sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))

localize294.0ms (1.7%)

Memory

-13.9MiB live, 591.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.26953125	(/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
accuracy	0.6978428280095299	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
accuracy	0.7265448115444642	(PI.f64)
accuracy	0.25390625	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.370034921308151	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.4889450195368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))))
accuracy	0.7265448115444642	(PI.f64)
accuracy	0.3125	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy	0.34765625	(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.370034921308151	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.7265448115444642	(PI.f64)
accuracy	0.4296875	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	0.4889450195368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
accuracy	0.7265448115444642	(PI.f64)
accuracy	1.3043629501695537	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	0.25390625	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.3671875	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.370034921308151	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.7265448115444642	(PI.f64)

Samples

194.0ms	240×	1	valid
49.0ms	3×	5	exit
4.0ms	13×	0	valid

Compiler

Compiled 930 to 92 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-log: 54.0ms (27.3% of total)

ival-div: 36.0ms (18.2% of total)

ival-mult: 27.0ms (13.7% of total)

ival-exp: 23.0ms (11.6% of total)

adjust: 12.0ms (6.1% of total)

ival-neg: 9.0ms (4.6% of total)

ival-sub: 9.0ms (4.6% of total)

ival-cosh: 8.0ms (4% of total)

ival-pi: 6.0ms (3% of total)

ival-tanh: 6.0ms (3% of total)

ival-sinh: 5.0ms (2.5% of total)

ival-add: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series241.0ms (1.4%)

Memory

-21.3MiB live, 376.0MiB allocated

Counts

22 → 216

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
112.0ms	f	@	inf	((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))
94.0ms	f	@	-inf	((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))
21.0ms	f	@	0	((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))

Time

Variable

Point

Expression

112.0ms

inf

((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))

94.0ms

-inf

((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))

21.0ms

((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))

simplify174.0ms (1%)

Memory

20.7MiB live, 206.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	8024
1	1755	6839
2	7643	6803
0	8097	6544

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
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(log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))
(log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))
(log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))

rewrite188.0ms (1.1%)

Memory

20.2MiB live, 302.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	309
0	76	204
1	316	202
2	2282	202
0	8241	202

Stop Event

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

Counts

22 → 1 582

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))))
(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)))

Outputs
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eval521.0ms (3%)

Memory: 1.5MiB live, 741.0MiB allocated
Compiler: Compiled 103 376 to 8 382 computations (91.9% saved)

prune113.0ms (0.6%)

Memory

17.3MiB live, 178.2MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	3 101	17	3 118
Fresh	8	7	15
Picked	3	2	5
Done	0	0	0
Total	3 112	26	3 138

Accuracy

100.0%

Counts

3 138 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	98.6%	(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))))
	8.6%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	97.7%	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) (cosh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	97.7%	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) f))) (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.7%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))))
	98.5%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
✓	98.8%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	96.3%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.3%	(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
	97.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) f))) (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) #s(literal 1 binary64)) #s(literal -1 binary64))))))
✓	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))))
▶	98.8%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	96.1%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
	98.6%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	98.7%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))))))
	95.8%	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
▶	98.6%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
▶	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
	94.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	95.9%	#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 336 to 890 computations (33.4% saved)

simplify150.0ms (0.9%)

Memory

5.2MiB live, 80.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal -4 binary64) (PI.f64))
cost-diff	896	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	0	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
cost-diff	128	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
cost-diff	2112	(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	320	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	384	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	704	(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (PI.f64) f)
cost-diff	0	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	2304	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	5824	(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	66	651
0	112	622
1	217	561
2	481	536
3	1091	516
4	2549	516
5	4713	496
6	6509	496
0	8253	496

Stop Event

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

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f)
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64)))
#s(literal -2 binary64)
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/192 binary64)
(.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/16 binary64) (PI.f64))
#s(literal 1/16 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))

Outputs
(.f64 (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(.f64 (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
#s(literal 1/192 binary64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
(*.f64 #s(literal 1/16 binary64) (PI.f64))
#s(literal 1/16 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
(.f64 (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) #s(literal 2 binary64))
(cosh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))
#s(literal 1/2 binary64)
(sinh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))

localize613.0ms (3.5%)

Memory

-12.1MiB live, 294.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.39453125	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy	0.7301253119926541	(log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.7340315619926541	(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
accuracy	1.4038626007608357	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
accuracy	0.28125	(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
accuracy	0.3359375	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
accuracy	0.370034921308151	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.625	(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f)
accuracy	1.0	(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64)))
accuracy	1.0	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
accuracy	1.4108027303848127	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	0.26171875	(*.f64 (PI.f64) f)
accuracy	0.3671875	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.370034921308151	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy	1.9514826185939305	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy	0.26171875	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.265625	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.28125	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy	0.370034921308151	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))

Samples

498.0ms	240×	1	valid
8.0ms	3×	2	valid
6.0ms	13×	0	valid

Compiler

Compiled 1 197 to 131 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-mult: 110.0ms (28.2% of total)

ival-exp: 83.0ms (21.3% of total)

ival-div: 64.0ms (16.4% of total)

ival-add: 45.0ms (11.5% of total)

adjust: 28.0ms (7.2% of total)

ival-log: 25.0ms (6.4% of total)

ival-neg: 8.0ms (2% of total)

ival-sqrt: 7.0ms (1.8% of total)

ival-cosh: 5.0ms (1.3% of total)

const: 4.0ms (1% of total)

ival-pi: 3.0ms (0.8% of total)

ival-sub: 2.0ms (0.5% of total)

ival-sinh: 2.0ms (0.5% of total)

ival-tanh: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series230.0ms (1.3%)

Memory

20.4MiB live, 148.8MiB allocated

Counts

27 → 216

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

128.0ms

inf

((pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (PI) f) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (* (* (* (PI) 2) 2) 1/192) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (+ (* (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))))) (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (tanh (* f (* 1/4 (PI))))) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI)))))) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (sqrt (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI))))))))

77.0ms

-inf

((pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (PI) f) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (* (* (* (PI) 2) 2) 1/192) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (+ (* (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))))) (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (tanh (* f (* 1/4 (PI))))) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI)))))) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (sqrt (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI))))))))

14.0ms

((pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (PI) f) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (* (* (* (PI) 2) 2) 1/192) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (+ (* (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))))) (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (tanh (* f (* 1/4 (PI))))) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI)))))) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (sqrt (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI))))))))

simplify192.0ms (1.1%)

Memory

-24.2MiB live, 126.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	8955
1	1548	7127
2	6648	5875
0	8765	5654

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
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(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(+ (* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))) (* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
(+ (* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))) (* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
(+ (* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))) (* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
(+ (* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))) (* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ 1 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))

Outputs
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(.f64 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))
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(*.f64 (PI.f64) f)
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(.f64 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))
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(.f64 (-.f64 (neg.f64 (log.f64 f)) (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
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(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64))

rewrite231.0ms (1.3%)

Memory

37.2MiB live, 223.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	310
0	106	254
1	364	232
2	2461	231
0	8272	231

Stop Event

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

Counts

27 → 1 296

Calls

Call 1

Inputs
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) f)
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f)
(sqrt.f64 (PI.f64))
(log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))

Outputs
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eval735.0ms (4.2%)

Memory: -41.3MiB live, 869.3MiB allocated
Compiler: Compiled 99 318 to 8 702 computations (91.2% saved)

prune77.0ms (0.4%)

Memory

29.5MiB live, 223.1MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	2 654	16	2 670
Fresh	11	8	19
Picked	4	1	5
Done	1	1	2
Total	2 670	26	2 696

Accuracy

100.0%

Counts

2 696 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))))))
▶	96.5%	(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
	97.6%	(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (PI.f64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)))) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
	95.3%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	8.6%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	98.6%	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
	97.7%	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) (cosh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.7%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))))
✓	98.8%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.3%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.2%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
	95.9%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
✓	96.3%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))))
	8.6%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
	97.6%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶	96.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
▶	98.8%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
▶	98.5%	(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.6%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.9%	#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 448 to 968 computations (33.1% saved)

simplify173.0ms (1%)

Memory

1.9MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))
cost-diff	448	(fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64))))
cost-diff	2240	(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff	128	(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
cost-diff	2496	(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	384	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	0	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
cost-diff	2304	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	744
0	119	728
1	258	687
2	597	654
3	1416	627
4	4272	598
0	8105	597

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))
(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(literal 1/12 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(neg.f64 (sqrt.f64 (PI.f64)))
(log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
(fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64))
(log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(literal 1/2 binary64)
(sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
#s(literal -4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (PI.f64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))
(.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64))
(log.f64 (.f64 (cosh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))
(cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(literal 2 binary64)
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64)))

Outputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))
(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(literal 1/12 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (sqrt.f64 (PI.f64)))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
(/.f64 (neg.f64 (fma.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64))))) (PI.f64))
(.f64 #s(literal 4 binary64) (fma.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)) (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
#s(literal -4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (PI.f64))
(.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))
(.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(literal 2 binary64)
#s(literal 4 binary64)
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (PI.f64)))

localize543.0ms (3.1%)

Memory

-16.7MiB live, 795.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))
accuracy	0.6033951053004466	(fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64))))
accuracy	0.7265448115444642	(PI.f64)
accuracy	0.98828125	(sqrt.f64 (PI.f64))
accuracy	0.3483200195368841	(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
accuracy	0.370034921308151	(log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy	0.7265448115444642	(PI.f64)
accuracy	0.98828125	(sqrt.f64 (PI.f64))
accuracy	0.62109375	(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
accuracy	0.7265448115444642	(PI.f64)
accuracy	0.7522020449562459	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	0.98828125	(*.f64 #s(literal 1/12 binary64) (PI.f64))
accuracy	0.370034921308151	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy	0.4889450195368841	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
accuracy	0.7265448115444642	(PI.f64)
accuracy	1.2914340794329884	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
accuracy	0.28125	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
accuracy	0.370034921308151	(log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy	0.7265448115444642	(PI.f64)
accuracy	0.98828125	(sqrt.f64 (PI.f64))

Samples

381.0ms	239×	1	valid
65.0ms	3×	5	exit
13.0ms	14×	0	valid

Compiler

Compiled 1 334 to 149 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 404.0ms

ival-div: 103.0ms (25.5% of total)

ival-mult: 89.0ms (22% of total)

ival-log: 74.0ms (18.3% of total)

ival-add: 39.0ms (9.6% of total)

ival-exp: 26.0ms (6.4% of total)

adjust: 17.0ms (4.2% of total)

ival-neg: 15.0ms (3.7% of total)

ival-tanh: 11.0ms (2.7% of total)

ival-cosh: 8.0ms (2% of total)

const: 7.0ms (1.7% of total)

ival-sinh: 5.0ms (1.2% of total)

ival-sqrt: 4.0ms (1% of total)

ival-pi: 3.0ms (0.7% of total)

ival-sub: 2.0ms (0.5% of total)

exact: 1.0ms (0.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series163.0ms (0.9%)

Memory

-17.1MiB live, 227.9MiB allocated

Counts

24 → 192

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/12 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

70.0ms

inf

((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f))))) (neg (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f)))))) (/ 4 (sqrt (PI))) (/ (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (* (sqrt (PI)) (neg (PI)))) (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (log (tanh (* (* 1/4 (PI)) f))) (tanh (* f (* 1/4 (PI)))) (* 1/12 (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (* 1/12 (PI)) f) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f)))))

45.0ms

-inf

((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f))))) (neg (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f)))))) (/ 4 (sqrt (PI))) (/ (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (* (sqrt (PI)) (neg (PI)))) (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (log (tanh (* (* 1/4 (PI)) f))) (tanh (* f (* 1/4 (PI)))) (* 1/12 (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (* 1/12 (PI)) f) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f)))))

33.0ms

((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f))))) (neg (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f)))))) (/ 4 (sqrt (PI))) (/ (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (* (sqrt (PI)) (neg (PI)))) (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (log (tanh (* (* 1/4 (PI)) f))) (tanh (* f (* 1/4 (PI)))) (* 1/12 (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (* 1/12 (PI)) f) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f)))))

simplify240.0ms (1.4%)

Memory

14.2MiB live, 292.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	10392
1	1815	7866
0	8273	7571

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
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(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(+ (log f) (log (* 1/4 (PI))))
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(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* -1 (* (sqrt (PI)) (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))))
(* -1 (* (sqrt (PI)) (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))))
(* -1 (* (sqrt (PI)) (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))))
(* -1 (* (sqrt (PI)) (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))))

Outputs
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(fma.f64 (/.f64 f (PI.f64)) (/.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
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(.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal 4 binary64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal 4 binary64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal 4 binary64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal 4 binary64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))))
(.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))
(.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))
(.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))
(.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) f))
(.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) f))
(.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) f))
(.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) f))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))))))

rewrite222.0ms (1.3%)

Memory

-3.4MiB live, 322.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	428
0	119	353
1	417	324
2	2672	320
0	8660	317

Stop Event

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

Counts

24 → 635

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
(fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64))
(log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))

Outputs
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eval469.0ms (2.7%)

Memory: 5.5MiB live, 750.4MiB allocated
Compiler: Compiled 81 458 to 6 747 computations (91.7% saved)

prune89.0ms (0.5%)

Memory

-0.8MiB live, 199.9MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 915	11	1 926
Fresh	5	14	19
Picked	3	2	5
Done	0	2	2
Total	1 923	29	1 952

Accuracy

100.0%

Counts

1 952 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))))))
	97.6%	(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (PI.f64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)))) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
	96.5%	(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal -4 binary64)) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
	98.5%	(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
	8.6%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	98.6%	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
	97.7%	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) (cosh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.7%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))))
✓	98.8%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	97.1%	(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
	96.3%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.2%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
	95.9%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
✓	96.3%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))))
	97.6%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	94.8%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
	96.1%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))
✓	96.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
	96.2%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
	8.6%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
✓	98.8%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
	96.1%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 #s(approx (log (tanh (* (* 1/4 (PI)) f))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
	98.5%	(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64)))))))
	97.0%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.6%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Compiler

Compiled 2 753 to 947 computations (65.6% saved)

regimes160.0ms (0.9%)

Memory

15.2MiB live, 223.5MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 #s(approx (log (tanh (* (* 1/4 (PI)) f))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64)))))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) (cosh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
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(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
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(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
(.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
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(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))))
(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) f))) (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) f))) (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))))))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))

Outputs
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))

Calls

6 calls:

50.0ms	f
39.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
20.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
17.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
17.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
98.8%	1	`f`
98.8%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
98.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
98.8%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
98.8%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
98.8%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes84.0ms (0.5%)

Memory

-25.2MiB live, 93.1MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))

Outputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))

Calls

6 calls:

45.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
12.0ms	f
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
98.7%	1	`f`
98.7%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
98.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
98.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
98.7%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
98.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes80.0ms (0.5%)

Memory

11.2MiB live, 86.2MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (.f64 #s(literal 1/4 binary64) (PI.f64)))

Outputs

(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))

Calls

6 calls:

30.0ms	f
25.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
7.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
5.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
97.1%	1	`f`
97.1%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
97.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
97.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
97.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
97.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes20.0ms (0.1%)

Memory

13.4MiB live, 51.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))

Outputs
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))

Calls

6 calls:

5.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms	f
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
3.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
96.3%	1	`f`
96.3%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes34.0ms (0.2%)

Memory

-22.6MiB live, 21.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))

Outputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))

Calls

6 calls:

27.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms	f
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
96.1%	1	`f`
96.1%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify42.0ms (0.2%)

Memory

12.6MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	121
1	64	121

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))

Outputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))

soundness865.0ms (5%)

Memory

30.6MiB live, 818.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52
0	63	310
0	106	254
1	364	232
2	2461	231
0	8272	231
0	515	8024
1	1755	6839
2	7643	6803
0	8097	6544
0	466	8955
1	1548	7127
2	6648	5875
0	8765	5654
0	74	428
0	119	353
1	417	324
2	2672	320
0	8660	317
0	190	1850
1	553	1668
2	2129	1484
0	9075	1459

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 391 to 193 computations (50.6% saved)

preprocess75.0ms (0.4%)

Memory: -19.1MiB live, 117.5MiB allocated
Compiler: Compiled 316 to 144 computations (54.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze205.0ms (1.2%)

sample7.7s (44.3%)

explain846.0ms (4.9%)

preprocess461.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify264.0ms (1.5%)

localize162.0ms (0.9%)

series116.0ms (0.7%)

simplify144.0ms (0.8%)

rewrite160.0ms (0.9%)

eval151.0ms (0.9%)

prune41.0ms (0.2%)

simplify113.0ms (0.7%)

localize294.0ms (1.7%)

series241.0ms (1.4%)

simplify174.0ms (1%)

rewrite188.0ms (1.1%)

eval521.0ms (3%)

prune113.0ms (0.6%)

simplify150.0ms (0.9%)

localize613.0ms (3.5%)

series230.0ms (1.3%)

simplify192.0ms (1.1%)

rewrite231.0ms (1.3%)

eval735.0ms (4.2%)

prune77.0ms (0.4%)

simplify173.0ms (1%)

localize543.0ms (3.1%)

series163.0ms (0.9%)

simplify240.0ms (1.4%)

rewrite222.0ms (1.3%)

eval469.0ms (2.7%)

prune89.0ms (0.5%)

regimes160.0ms (0.9%)

regimes84.0ms (0.5%)

regimes80.0ms (0.5%)

regimes20.0ms (0.1%)

regimes34.0ms (0.2%)

simplify42.0ms (0.2%)

soundness865.0ms (5%)

preprocess75.0ms (0.4%)

end0.0ms (0%)

Profiling