Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.4s (18.1%)

Memory

18.7MiB live, 1 604.8MiB allocated

Samples

1.1s	7 947×	1	valid
16.0ms	309×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 698.0ms

ival-acos: 361.0ms (51.7% of total)

ival-sub: 144.0ms (20.6% of total)

adjust: 114.0ms (16.3% of total)

ival-<=: 49.0ms (7% of total)

exact: 14.0ms (2% of total)

ival-and: 12.0ms (1.7% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

preprocess24.0ms (0.3%)

Memory

-19.4MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-+.f64`
24×	`lower-+.f32`
20×	`sub-neg`
18×	`lower--.f32`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))

explain82.0ms (1%)

Memory

29.1MiB live, 68.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	254	1

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms	490×	1	valid
1.0ms	22×	0	valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-acos: 18.0ms (57.4% of total)

ival-sub: 6.0ms (19.1% of total)

adjust: 6.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify9.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Rules

24×	`lower-+.f64`
24×	`lower-+.f32`
18×	`lower--.f32`
16×	`sub-neg`
16×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	10	9
2	14	9
3	19	9
4	26	9
5	34	9
6	44	9
7	55	9
8	58	9
0	58	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize64.0ms (0.8%)

Memory

-25.3MiB live, 13.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	7.7%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

57.0ms	245×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sub: 37.0ms (74.8% of total)

ival-acos: 9.0ms (18.2% of total)

adjust: 3.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>

Outputs
#<alt (acos (- 1 x))>
#<alt (acos (- 1 x))>
#<alt (acos (- 1 x))>
#<alt (acos (- 1 x))>
#<alt (acos (- 1 x))>
#<alt (acos (- 1 x))>
#<alt (acos (- 1 x))>
#<alt (acos (- 1 x))>
#<alt (acos (+ 1 (* -1 x)))>
#<alt (acos (+ 1 (* -1 x)))>
#<alt (acos (+ 1 (* -1 x)))>
#<alt (acos (+ 1 (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- 1 x)
0.0ms	x	@	-inf	(acos (- 1 x))
0.0ms	x	@	0	(acos (- 1 x))
0.0ms	x	@	-inf	(- 1 x)
0.0ms	x	@	0	(- 1 x)

rewrite288.0ms (3.6%)

Memory

4.2MiB live, 319.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 910×	`lower-fma.f64`
4 910×	`lower-fma.f32`
4 364×	`lower-*.f64`
4 364×	`lower-*.f32`
4 164×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	28	7
2	171	7
3	1385	7
0	9386	7

Stop Event

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

Counts

2 → 339

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

Outputs
(acos.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
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(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 x x x) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x x x) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))

simplify14.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

112×	`lower-fma.f64`
112×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	29	80
2	62	80
3	113	80
4	171	80
5	239	80
6	259	80
0	259	80

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

eval49.0ms (0.6%)

Memory: -7.2MiB live, 84.6MiB allocated
Compiler: Compiled 12 869 to 1 318 computations (89.8% saved)

prune38.0ms (0.5%)

Memory

-19.8MiB live, 58.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	361	2	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	361	3	364

Accuracy

10.2%

Counts

364 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	7.0%	(acos.f64 (neg.f64 x))
▶	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 x)
✓	cost-diff	(acos.f64 (neg.f64 x))
✓	cost-diff	(acos.f64 #s(literal 1 binary64))

Rules

8×	`lower-+.f64`
8×	`lower-+.f32`
6×	`sub-neg`
6×	`lower--.f64`
6×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	13	9
2	15	9
3	17	9
4	19	9
5	23	9
6	28	9
0	28	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 (neg.f64 x))
(neg.f64 x)
x

Outputs
(acos.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(acos.f64 (neg.f64 x))
(neg.f64 x)
x

localize16.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(acos.f64 (neg.f64 x))
✓	accuracy	100.0%	(acos.f64 #s(literal 1 binary64))

Samples

10.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-acos: 4.0ms (79.2% of total)

ival-neg: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 24

Calls

Call 1

Inputs
#<alt (acos.f64 #s(literal 1 binary64))>
#<alt (acos.f64 (neg.f64 x))>
#<alt (neg.f64 x)>

Outputs
#<alt (acos (neg x))>
#<alt (acos (neg x))>
#<alt (acos (neg x))>
#<alt (acos (neg x))>
#<alt (acos (neg x))>
#<alt (acos (neg x))>
#<alt (acos (neg x))>
#<alt (acos (neg x))>
#<alt (acos (* -1 x))>
#<alt (acos (* -1 x))>
#<alt (acos (* -1 x))>
#<alt (acos (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(acos (neg x))
0.0ms	x	@	-inf	(acos (neg x))
0.0ms	x	@	inf	(acos (neg x))
0.0ms	x	@	0	(neg x)

rewrite421.0ms (5.3%)

Memory

-15.2MiB live, 147.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 506×	`lower-fma.f64`
5 506×	`lower-fma.f32`
3 892×	`lower-*.f64`
3 892×	`lower-*.f32`
3 368×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	22	7
2	104	7
3	919	7
0	8601	7

Stop Event

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

Counts

3 → 283

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(acos.f64 #s(literal 1 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (acos.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(literal 1 binary64)))
(-.f64 (neg.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (asin.f64 #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64)))))) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (acos.f64 #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64)))))))
(/.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64)))) (neg.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal -2 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(literal 1 binary64)))))
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(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (.f64 #s(literal -2 binary64) (acos.f64 x))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (neg.f64 (PI.f64)) (acos.f64 x)) (.f64 #s(literal -2 binary64) (.f64 (acos.f64 x) (acos.f64 (neg.f64 x))))))) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (acos.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (neg.f64 x)))))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 3 binary64))))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (neg.f64 x)))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) (.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)))) (pow.f64 (acos.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))))) (.f64 (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) (.f64 (+.f64 (PI.f64) (acos.f64 x)) (pow.f64 (acos.f64 x) #s(literal 2 binary64)))) (.f64 (+.f64 (PI.f64) (acos.f64 x)) (+.f64 (PI.f64) (acos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) (.f64 (acos.f64 x) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (pow.f64 (acos.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (PI.f64) (acos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (acos.f64 x) (acos.f64 (neg.f64 x))))) (neg.f64 (neg.f64 (acos.f64 x))))
(/.f64 (+.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (+.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (neg.f64 (acos.f64 x)) (PI.f64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (acos.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) (fma.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) (fma.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x))) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) (fma.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x)) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x)) (.f64 (/.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (neg.f64 (acos.f64 x)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (asin.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 2 binary64))) (neg.f64 (acos.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (neg.f64 x)))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x))))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (.f64 (PI.f64) (neg.f64 (acos.f64 x)))))))
(.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (acos.f64 x))))
(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (PI.f64) (neg.f64 (acos.f64 x)))))
(.f64 (.f64 (acos.f64 x) (acos.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (acos.f64 x)))
(.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)))))))
(.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (PI.f64) (acos.f64 x)))))
(.f64 (neg.f64 (.f64 (acos.f64 x) (acos.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (*.f64 x x) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) (.f64 x x) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify8.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`lower-+.f64`
8×	`lower-+.f32`
6×	`sub-neg`
6×	`lower--.f64`
6×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	60
1	9	60
2	10	60
3	12	60
4	14	60
5	18	60
6	23	60
0	23	60

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (* -1 x))
(acos (* -1 x))
(acos (* -1 x))
(acos (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval47.0ms (0.6%)

Memory: -10.5MiB live, 31.4MiB allocated
Compiler: Compiled 8 248 to 1 044 computations (87.3% saved)

prune81.0ms (1%)

Memory

-0.9MiB live, 38.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	303	4	307
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	303	7	310

Accuracy

11.1%

Counts

310 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
▶	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
▶	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
▶	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
✓	7.7%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 105 to 61 computations (41.9% saved)

simplify249.0ms (3.1%)

Memory

21.3MiB live, 220.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓	cost-diff	64	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
✓	cost-diff	15232	(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	7808	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	cost-diff	0	(neg.f64 (acos.f64 x))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))

Rules

5 492×	`lower-fma.f32`
5 480×	`lower-fma.f64`
3 764×	`lower-*.f32`
3 754×	`lower-*.f64`
1 660×	`distribute-lft-neg-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	34	282
0	66	270
1	126	266
2	280	266
3	791	266
4	2033	244
5	4337	244
6	5706	242
7	6419	240
8	7312	240
9	7725	240
10	7845	240
0	8223	240

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(sqrt.f64 (PI.f64))
(PI.f64)
(neg.f64 (acos.f64 x))
(acos.f64 x)
x
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(asin.f64 #s(literal 1 binary64))
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.f64 #s(literal 1 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(sqrt.f64 (PI.f64))
#s(literal 1/3 binary64)
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 (acos.f64 x))
(acos.f64 x)
x

Outputs
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(-.f64 (PI.f64) (acos.f64 x))
(sqrt.f64 (PI.f64))
(PI.f64)
(neg.f64 (acos.f64 x))
(acos.f64 x)
x
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(asin.f64 #s(literal 1 binary64))
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/8 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.f64 #s(literal 1 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(sqrt.f64 (PI.f64))
#s(literal 1/3 binary64)
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 (acos.f64 x))
(acos.f64 x)
x

localize300.0ms (3.8%)

Memory

-17.4MiB live, 334.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.5%	(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓	accuracy	98.4%	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	98.4%	(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
✓	accuracy	98.4%	(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	3.3%	(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓	accuracy	100.0%	(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
✓	accuracy	100.0%	(asin.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	3.3%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	accuracy	100.0%	(acos.f64 x)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	97.5%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))

Samples

218.0ms

256×

valid

Compiler

Compiled 307 to 42 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 46.0ms (26.8% of total)

adjust: 29.0ms (16.9% of total)

ival-div: 24.0ms (14% of total)

ival-add: 19.0ms (11.1% of total)

ival-neg: 8.0ms (4.7% of total)

ival-cbrt: 8.0ms (4.7% of total)

ival-pow2: 7.0ms (4.1% of total)

ival-pow: 7.0ms (4.1% of total)

ival-sqrt: 6.0ms (3.5% of total)

ival-asin: 5.0ms (2.9% of total)

const: 4.0ms (2.3% of total)

ival-pi: 4.0ms (2.3% of total)

ival-acos: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

18 → 48

Calls

Call 1

Inputs
#<alt (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (PI.f64)>
#<alt (neg.f64 (acos.f64 x))>
#<alt (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))>
#<alt (*.f64 (PI.f64) (PI.f64))>
#<alt (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))>
#<alt (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))>
#<alt (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))>
#<alt (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))>
#<alt (fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (acos.f64 x)>
#<alt (asin.f64 #s(literal 1 binary64))>
#<alt (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))>
#<alt (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))>
#<alt (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))>

Outputs
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (* -1 (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms	x	@	0	(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
0.0ms	x	@	inf	(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms	x	@	-inf	(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
0.0ms	x	@	inf	(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))

rewrite458.0ms (5.8%)

Memory

14.2MiB live, 292.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 630×	`lower-*.f32`
5 620×	`lower-*.f64`
5 212×	`lower-fma.f32`
5 200×	`lower-fma.f64`
4 000×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	166
0	66	124
1	255	78
2	2132	77
0	9981	77

Stop Event

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

Counts

18 → 1 535

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(sqrt.f64 (PI.f64))
(PI.f64)
(neg.f64 (acos.f64 x))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
(acos.f64 x)
(asin.f64 #s(literal 1 binary64))
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))

Outputs
(+.f64 (PI.f64) (neg.f64 (acos.f64 x)))
(+.f64 (neg.f64 (acos.f64 x)) (PI.f64))
(+.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x))
(-.f64 (PI.f64) (acos.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (acos.f64 x) (PI.f64)))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (neg.f64 (acos.f64 x)))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (neg.f64 (acos.f64 x)))))
(-.f64 (+.f64 (PI.f64) #s(literal 0 binary64)) (acos.f64 x))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 x)))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (acos.f64 x) #s(literal -1 binary64) (PI.f64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 #s(literal -1 binary64) (acos.f64 x) (PI.f64))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) (pow.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/12 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 5/6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64))) (fabs.f64 (pow.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/6 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64))) (neg.f64 (acos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (neg.f64 (acos.f64 x)) (-.f64 (neg.f64 (acos.f64 x)) (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) (neg.f64 (acos.f64 x))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (PI.f64) (.f64 (neg.f64 (acos.f64 x)) (-.f64 (neg.f64 (acos.f64 x)) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 (PI.f64) (acos.f64 x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (-.f64 (PI.f64) (neg.f64 (acos.f64 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (+.f64 (PI.f64) (acos.f64 x)))
(/.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (neg.f64 (acos.f64 x)) (-.f64 (neg.f64 (acos.f64 x)) (PI.f64))))))
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(*.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) (sqrt.f64 (asin.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
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(*.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
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(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64)))
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(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (asin.f64 #s(literal 1 binary64))) (.f64 (log.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(/.f64 (.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
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(pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(.f64 (asin.f64 #s(literal 1 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
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(.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64)))) #s(literal 3/2 binary64)))
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(exp.f64 (+.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64))) (log.f64 (asin.f64 #s(literal 1 binary64)))))
(exp.f64 (fma.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 #s(literal 1 binary64))))
(*.f64 (asin.f64 #s(literal 1 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (asin.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))

simplify32.0ms (0.4%)

Memory

-7.1MiB live, 30.4MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	156
1	9	156
2	12	156
3	17	156
4	25	156
5	40	156
6	73	156
7	98	156
8	142	156
9	157	156
10	165	156
0	165	156

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)

Outputs
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)

eval899.0ms (11.4%)

Memory: -95.4MiB live, 531.9MiB allocated
Compiler: Compiled 238 307 to 11 024 computations (95.4% saved)

prune408.0ms (5.2%)

Memory

5.7MiB live, 450.9MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	4 146	10	4 156
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	4 149	14	4 163

Accuracy

11.3%

Counts

4 163 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
	7.7%	(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
▶	7.7%	(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
	7.7%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
▶	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
▶	7.0%	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
	7.7%	(fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
	7.7%	(fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 2 binary64)))
▶	7.7%	(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
✓	7.7%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 743 to 376 computations (49.4% saved)

simplify433.0ms (5.5%)

Memory

7.8MiB live, 244.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	7104	(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	13568	(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	1600	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64))))
✓	cost-diff	7488	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
✓	cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓	cost-diff	0	(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
✓	cost-diff	0	(asin.f64 #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))
✓	cost-diff	13184	(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))

Rules

20 876×	`lower-fma.f32`
20 860×	`lower-fma.f64`
5 870×	`lower-*.f32`
5 850×	`lower-*.f64`
2 208×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	555
0	101	548
1	196	506
2	499	504
3	1429	498
4	3508	492
0	8345	492

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))
(asin.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(cbrt.f64 (PI.f64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 (acos.f64 x))
(acos.f64 x)
x
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(asin.f64 #s(literal 1 binary64))
(neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 #s(literal 1 binary64)))
(acos.f64 #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(asin.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
#s(literal 1/8 binary64)
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(asin.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))
(asin.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(cbrt.f64 (PI.f64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 (acos.f64 x))
(acos.f64 x)
x
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (-.f64 (pow.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(asin.f64 #s(literal 1 binary64))
(neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (pow.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))))
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 #s(literal 1 binary64)))
(acos.f64 #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (-.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(asin.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(literal 1/8 binary64)
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(asin.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)

localize208.0ms (2.6%)

Memory

-19.8MiB live, 102.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
✓	accuracy	100.0%	(asin.f64 #s(literal 1 binary64))
✓	accuracy	3.1%	(PI.f64)
✓	accuracy	100.0%	(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(asin.f64 #s(literal 1 binary64))
✓	accuracy	3.1%	(PI.f64)
✓	accuracy	100.0%	(neg.f64 (acos.f64 #s(literal 1 binary64)))
✓	accuracy	100.0%	(asin.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(acos.f64 #s(literal 1 binary64))
✓	accuracy	3.1%	(PI.f64)
✓	accuracy	100.0%	(cbrt.f64 (sqrt.f64 (PI.f64)))
✓	accuracy	100.0%	(cbrt.f64 (PI.f64))
✓	accuracy	100.0%	(acos.f64 x)
✓	accuracy	3.1%	(PI.f64)
✓	accuracy	100.0%	(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	accuracy	100.0%	(asin.f64 #s(literal 1 binary64))
✓	accuracy	3.1%	(PI.f64)

Samples

118.0ms

256×

exit

Compiler

Compiled 610 to 60 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 23.0ms (24.9% of total)

adjust: 20.0ms (21.7% of total)

ival-div: 10.0ms (10.8% of total)

ival-add: 8.0ms (8.7% of total)

ival-pow: 7.0ms (7.6% of total)

ival-neg: 6.0ms (6.5% of total)

ival-pow2: 6.0ms (6.5% of total)

ival-acos: 4.0ms (4.3% of total)

ival-cbrt: 3.0ms (3.2% of total)

ival-asin: 2.0ms (2.2% of total)

ival-sqrt: 2.0ms (2.2% of total)

ival-pi: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

27 → 24

Calls

Call 1

Inputs
#<alt (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))>
#<alt (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))>
#<alt (asin.f64 #s(literal 1 binary64))>
#<alt (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))>
#<alt (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (PI.f64)>
#<alt (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64))))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))>
#<alt (*.f64 (PI.f64) (PI.f64))>
#<alt (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))>
#<alt (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))>
#<alt (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))>
#<alt (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))>
#<alt (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))>
#<alt (*.f64 (PI.f64) #s(literal 1/4 binary64))>
#<alt (acos.f64 x)>
#<alt (cbrt.f64 (PI.f64))>
#<alt (cbrt.f64 (sqrt.f64 (PI.f64)))>
#<alt (acos.f64 #s(literal 1 binary64))>
#<alt (neg.f64 (acos.f64 #s(literal 1 binary64)))>
#<alt (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))>

Outputs
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (- (PI) (acos x))>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>
#<alt (acos x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms	x	@	inf	(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms	x	@	-inf	(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms	x	@	0	(acos x)
0.0ms	x	@	-inf	(acos x)

rewrite443.0ms (5.6%)

Memory

1.5MiB live, 272.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 844×	`lower-fma.f32`
5 828×	`lower-fma.f64`
3 880×	`lower-*.f32`
3 860×	`lower-*.f64`
3 258×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	318
0	101	351
1	391	159
2	3311	153
0	8717	153

Stop Event

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

Counts

27 → 1 891

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))
(asin.f64 #s(literal 1 binary64))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(acos.f64 x)
(cbrt.f64 (PI.f64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(acos.f64 #s(literal 1 binary64))
(neg.f64 (acos.f64 #s(literal 1 binary64)))
(neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))

Outputs
(acos.f64 #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
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(.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(.f64 (.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (-.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))

simplify43.0ms (0.5%)

Memory

-3.8MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	72
1	6	72
2	11	72
3	17	72
4	25	72
5	40	72
6	73	72
7	97	72
8	141	72
9	156	72
10	164	72
0	164	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)

Outputs
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)

eval640.0ms (8.1%)

Memory: 61.5MiB live, 506.6MiB allocated
Compiler: Compiled 198 733 to 10 986 computations (94.5% saved)

prune412.0ms (5.2%)

Memory

-61.0MiB live, 450.5MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	4 247	4	4 251
Fresh	1	4	5
Picked	1	4	5
Done	0	4	4
Total	4 249	16	4 265

Accuracy

11.4%

Counts

4 265 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓	7.8%	(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
	7.7%	(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	7.7%	(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
	7.7%	(fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64)) (PI.f64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
	7.7%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
	7.7%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
	7.7%	(fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 2 binary64)))
	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
✓	7.7%	(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
✓	7.7%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 1 032 to 354 computations (65.7% saved)

regimes16.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64)) (PI.f64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 2 binary64)))

Outputs

(acos.f64 (-.f64 #s(literal 1 binary64) x))

(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))

Calls

3 calls:

6.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
11.1%	2	`x`
11.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.1%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64)) (PI.f64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))

Outputs

(acos.f64 (-.f64 #s(literal 1 binary64) x))

(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
11.1%	2	`x`
11.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.1%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64)) (PI.f64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))

Outputs

(fma.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))

(acos.f64 (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
11.1%	2	`x`
11.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.1%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.2%)

Memory

-32.0MiB live, 7.7MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))

Outputs

(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))

(acos.f64 (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

4.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
11.1%	2	`(-.f64 #s(literal 1 binary64) x)`
11.1%	2	`x`
11.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))

Outputs

(acos.f64 (-.f64 #s(literal 1 binary64) x))

(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
11.1%	2	`x`
11.1%	2	`(-.f64 #s(literal 1 binary64) x)`
11.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))

Outputs

(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))

(acos.f64 (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
11.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.1%	2	`x`
11.1%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (neg.f64 x))

Calls

3 calls:

3.0ms	x
2.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
2.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
10.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.2%	2	`(-.f64 #s(literal 1 binary64) x)`
10.2%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))

Outputs
(acos.f64 (neg.f64 x))

Calls

3 calls:

1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) x)
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
7.0%	1	`x`
7.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
7.0%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))

Outputs
(acos.f64 #s(literal 1 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
3.8%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999997	1.0

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999997	1.0

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.580956827951785e-8

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.580956827951785e-8

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999997	1.0

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch14.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.627358831146274e-17	3.5017220890152857e-16

Samples

9.0ms

112×

valid

Compiler

Compiled 218 to 148 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-acos: 3.0ms (47.7% of total)

ival-sub: 1.0ms (15.9% of total)

adjust: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999997	1.0

Compiler

Compiled 8 to 8 computations (0% saved)

simplify11.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
22×	`+-commutative_binary64`
22×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	289
1	97	289
2	120	289
3	134	289
4	139	289
5	140	289

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (neg.f64 x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))

Outputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740989/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (neg.f64 x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))

soundness585.0ms (7.4%)

Memory

-25.0MiB live, 14.5MiB allocated

Rules

5 844×	`lower-fma.f32`
5 828×	`lower-fma.f64`
5 630×	`lower-*.f32`
5 620×	`lower-*.f64`
5 506×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	318
0	101	351
1	391	159
2	3311	153
0	8717	153
0	14	80
1	29	80
2	62	80
3	113	80
4	171	80
5	239	80
6	259	80
0	259	80
0	34	166
0	66	124
1	255	78
2	2132	77
0	9981	77
0	5	7
0	8	7
1	22	7
2	104	7
3	919	7
0	8601	7

Stop Event

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

Compiler

Compiled 328 to 98 computations (70.1% saved)

preprocess89.0ms (1.1%)

Memory: 18.6MiB live, 57.8MiB allocated
Compiler: Compiled 606 to 144 computations (76.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Iter	Nodes	Cost
0	6	156
1	9	156
2	12	156
3	17	156
4	25	156
5	40	156
6	73	156
7	98	156
8	142	156
9	157	156
10	165	156
0	165	156

Iter	Nodes	Cost
0	4	72
1	6	72
2	11	72
3	17	72
4	25	72
5	40	72
6	73	72
7	97	72
8	141	72
9	156	72
10	164	72
0	164	72

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Iter	Nodes	Cost
0	6	156
1	9	156
2	12	156
3	17	156
4	25	156
5	40	156
6	73	156
7	98	156
8	142	156
9	157	156
10	165	156
0	165	156

Iter	Nodes	Cost
0	4	72
1	6	72
2	11	72
3	17	72
4	25	72
5	40	72
6	73	72
7	97	72
8	141	72
9	156	72
10	164	72
0	164	72

analyze0.0ms (0%)

sample1.4s (18.1%)

preprocess24.0ms (0.3%)

explain82.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize64.0ms (0.8%)

series1.0ms (0%)

rewrite288.0ms (3.6%)

simplify14.0ms (0.2%)

eval49.0ms (0.6%)

prune38.0ms (0.5%)

simplify9.0ms (0.1%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite421.0ms (5.3%)

simplify8.0ms (0.1%)

eval47.0ms (0.6%)

prune81.0ms (1%)

simplify249.0ms (3.1%)

localize300.0ms (3.8%)

series3.0ms (0%)

rewrite458.0ms (5.8%)

simplify32.0ms (0.4%)

eval899.0ms (11.4%)

prune408.0ms (5.2%)

simplify433.0ms (5.5%)

localize208.0ms (2.6%)

series1.0ms (0%)

rewrite443.0ms (5.6%)

simplify43.0ms (0.5%)

eval640.0ms (8.1%)

prune412.0ms (5.2%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness585.0ms (7.4%)

preprocess89.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Iter	Nodes	Cost
0	6	156
1	9	156
2	12	156
3	17	156
4	25	156
5	40	156
6	73	156
7	98	156
8	142	156
9	157	156
10	165	156
0	165	156

Iter	Nodes	Cost
0	4	72
1	6	72
2	11	72
3	17	72
4	25	72
5	40	72
6	73	72
7	97	72
8	141	72
9	156	72
10	164	72
0	164	72