Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample2.5s (25.8%)

Memory

-8.3MiB live, 1 278.1MiB allocated

Samples

2.0s	7 956×	1	valid
15.0ms	300×	0	valid

Precisions

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

ival-acos: 821.0ms (71.5% of total)

adjust: 114.0ms (9.9% of total)

ival-sub: 107.0ms (9.3% of total)

ival-<=: 78.0ms (6.8% of total)

exact: 13.0ms (1.1% of total)

ival-and: 12.0ms (1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess15.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB 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))

explain123.0ms (1.3%)

Memory

-7.5MiB live, 107.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	1	(0.004984446042833379)	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	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	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

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

Precision?

1.0

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

88.0ms	492×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-acos: 60.0ms (82.3% of total)

ival-sub: 6.0ms (8.2% of total)

adjust: 6.0ms (8.2% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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

localize44.0ms (0.5%)

Memory

-16.7MiB live, 26.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	7.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

38.0ms	246×	1	valid
0.0ms	10×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-sub: 18.0ms (58.9% of total)

ival-acos: 10.0ms (32.7% of total)

adjust: 3.0ms (9.8% 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

1.0MiB live, 1.0MiB 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	(- 1 x)
0.0ms	x	@	-inf	(acos (- 1 x))
0.0ms	x	@	0	(acos (- 1 x))
0.0ms	x	@	inf	(acos (- 1 x))

rewrite445.0ms (4.7%)

Memory

-17.4MiB live, 310.0MiB 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)))

simplify12.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB 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)

eval63.0ms (0.7%)

Memory: 17.8MiB live, 94.3MiB allocated
Compiler: Compiled 12 869 to 1 318 computations (89.8% saved)

prune46.0ms (0.5%)

Memory

-15.7MiB live, 101.0MiB 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

9.9%

Counts

364 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.2%	(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)

simplify4.0ms (0%)

Memory

9.4MiB live, 9.3MiB 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

-9.0MiB live, 30.5MiB 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

11.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-acos: 5.0ms (84.5% of total)

ival-neg: 1.0ms (16.9% 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

1.4MiB live, 1.4MiB 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	@	-inf	(neg x)
0.0ms	x	@	0	(acos (neg x))
0.0ms	x	@	-inf	(acos (neg x))
0.0ms	x	@	inf	(acos (neg x))

rewrite304.0ms (3.2%)

Memory

9.2MiB live, 452.1MiB 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)))))
(/.f64 (-.f64 (.f64 (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 #s(literal 2 binary64) (-.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 #s(literal 2 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))))))
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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))

simplify5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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)

eval82.0ms (0.9%)

Memory: -11.3MiB live, 66.1MiB allocated
Compiler: Compiled 8 248 to 1 044 computations (87.3% saved)

prune166.0ms (1.7%)

Memory

-3.9MiB live, 77.0MiB 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

11.0%

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)))
▶	7.9%	(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))))))
▶	7.9%	(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)))
✓	7.2%	(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)

simplify365.0ms (3.8%)

Memory

9.8MiB live, 366.4MiB 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

localize303.0ms (3.2%)

Memory

-31.7MiB live, 617.3MiB 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	97.6%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))

Samples

235.0ms

256×

valid

Compiler

Compiled 307 to 42 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 45.0ms (24% of total)

adjust: 31.0ms (16.5% of total)

ival-add: 20.0ms (10.7% of total)

ival-div: 19.0ms (10.1% of total)

ival-pow2: 16.0ms (8.5% of total)

ival-cbrt: 14.0ms (7.5% of total)

ival-pow: 8.0ms (4.3% of total)

ival-neg: 8.0ms (4.3% of total)

ival-sqrt: 6.0ms (3.2% of total)

ival-asin: 5.0ms (2.7% of total)

ival-pi: 5.0ms (2.7% of total)

const: 4.0ms (2.1% of total)

ival-acos: 4.0ms (2.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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)))
1.0ms	x	@	inf	(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
1.0ms	x	@	-inf	(+ (* (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	(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))

rewrite511.0ms (5.3%)

Memory

15.1MiB live, 683.4MiB 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 #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 (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))))))))
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(.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))))))))
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(.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)))
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(.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)))
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(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)))

simplify35.0ms (0.4%)

Memory

-22.9MiB live, 30.1MiB 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)

eval945.0ms (9.9%)

Memory: -85.0MiB live, 536.1MiB allocated
Compiler: Compiled 238 307 to 11 024 computations (95.4% saved)

prune416.0ms (4.3%)

Memory

14.9MiB live, 458.1MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	4 147	9	4 156
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	4 150	13	4 163

Accuracy

11.2%

Counts

4 163 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(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)))))))
	7.9%	(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))))))
▶	7.8%	(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)))
▶	7.9%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.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))))))) (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))))))))
✓	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
▶	7.9%	(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))))))))
▶	7.9%	(/.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)))
	7.9%	(/.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)))
	7.9%	(/.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 3 binary64)) (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 -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 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))) (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))))))))
✓	7.2%	(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 741 to 358 computations (51.7% saved)

simplify337.0ms (3.5%)

Memory

-6.1MiB live, 192.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	14528	(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)))))
✓	cost-diff	20992	(/.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)))
✓	cost-diff	0	(.f64 (PI.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)))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	14912	(fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.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))))))) (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	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	320	(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	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	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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))
✓	cost-diff	0	(/.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))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	14912	(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))))))))

Rules

13 336×	`lower-fma.f32`
13 320×	`lower-fma.f64`
6 628×	`lower-*.f32`
6 606×	`lower-*.f64`
1 892×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	650
0	95	622
1	185	587
2	461	586
3	1791	544
4	5299	544
0	8097	544

Stop Event

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

Calls

Call 1

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

localize177.0ms (1.9%)

Memory

9.5MiB live, 87.5MiB 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 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 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 (/.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%	(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 (/.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)

Samples

106.0ms

256×

exit

Compiler

Compiled 717 to 57 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 22.0ms (27.4% of total)

adjust: 19.0ms (23.7% of total)

ival-div: 9.0ms (11.2% of total)

ival-add: 9.0ms (11.2% of total)

ival-pow2: 4.0ms (5% of total)

ival-neg: 4.0ms (5% of total)

ival-acos: 3.0ms (3.7% of total)

ival-asin: 2.0ms (2.5% of total)

ival-cbrt: 2.0ms (2.5% of total)

ival-sqrt: 2.0ms (2.5% of total)

ival-pow: 2.0ms (2.5% of total)

ival-pi: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series4.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

26 → 24

Calls

Call 1

Inputs
#<alt (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))))))))>
#<alt (PI.f64)>
#<alt (/.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))))))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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 (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 (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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))>
#<alt (*.f64 (PI.f64) (PI.f64))>
#<alt (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.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))))))) (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 (PI.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)))))))>
#<alt (/.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)))>
#<alt (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)))))>
#<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 (asin.f64 #s(literal 1 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)))))))>
#<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 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 (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
1.0ms	x	@	0	(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
1.0ms	x	@	-inf	(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
1.0ms	x	@	inf	(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms	x	@	0	(acos x)
0.0ms	x	@	inf	(acos x)

rewrite716.0ms (7.5%)

Memory

-13.0MiB live, 475.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 726×	`lower-fma.f32`
7 710×	`lower-fma.f64`
6 770×	`lower-*.f32`
6 748×	`lower-*.f64`
3 334×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	340
0	95	354
1	356	149
2	3063	143
0	10477	142

Stop Event

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

Counts

26 → 2 827

Calls

Call 1

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

Outputs
(acos.f64 #s(literal 1 binary64))
(+.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)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.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 (/.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)))))
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(-.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 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.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 #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 (/.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.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)) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.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))))))) (/.f64 (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 -2 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.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))))))))
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(-.f64 (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)))))) #s(literal 0 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 (fma.f64 (PI.f64) (/.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 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)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
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(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
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(.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.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 3 binary64)) (neg.f64 (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 -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.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)) (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (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))))))
(.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 (/.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 (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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(.f64 (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)) (.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 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))))
(.f64 (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)) (pow.f64 (/.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))))) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(.f64 (.f64 (acos.f64 #s(literal 1 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 #s(literal 1 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 (.f64 (acos.f64 #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.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))))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.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))))))))
(.f64 (pow.f64 (/.f64 (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)) (fma.f64 (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 3 binary64)) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 9 binary64))) (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))))) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.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))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.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))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 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))))) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (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))))) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 (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)) (-.f64 (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))))) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64)) (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 2 binary64)))) #s(literal -1 binary64)) (/.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))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (acos.f64 #s(literal 1 binary64)))
(neg.f64 (acos.f64 #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (acos.f64 #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (acos.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (acos.f64 #s(literal 1 binary64)))
(*.f64 (acos.f64 #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (asin.f64 #s(literal 1 binary64)) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(*.f64 (neg.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)) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.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 (.f64 #s(literal -1 binary64) (asin.f64 #s(literal 1 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (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)))

simplify55.0ms (0.6%)

Memory

-29.6MiB live, 49.1MiB 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)

eval925.0ms (9.7%)

Memory: 77.2MiB live, 744.6MiB allocated
Compiler: Compiled 333 810 to 14 327 computations (95.7% saved)

prune570.0ms (6%)

Memory

-20.6MiB live, 597.2MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	5 885	7	5 892
Fresh	1	3	4
Picked	1	4	5
Done	0	4	4
Total	5 887	18	5 905

Accuracy

11.2%

Counts

5 905 → 18

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)))
	7.9%	(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)))))))
	7.9%	(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))))))
	7.8%	(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))))))
✓	7.8%	(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))))))
	7.8%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.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))))))) (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 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))))))))
✓	7.9%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.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))))))) (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))))))))
✓	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
✓	7.9%	(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))))))))
	7.9%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (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 -2 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))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 0 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))))))) (PI.f64))) (.f64 (+.f64 #s(literal 0 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 (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) (PI.f64)) #s(literal 1/8 binary64)))))
✓	7.9%	(/.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)))
	7.9%	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64) (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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)))
	7.9%	(/.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)))
	7.9%	(/.f64 (fma.f64 (PI.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))) (.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))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (.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))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64)))))
	7.9%	(/.f64 (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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)))
✓	7.2%	(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 1 574 to 443 computations (71.9% saved)

regimes18.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

23 → 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 (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)))
(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 (PI.f64) (PI.f64)) (.f64 (PI.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))))))) (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 (PI.f64) (PI.f64)) (.f64 (PI.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))))))) (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 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 (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)))
(/.f64 (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64) (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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)))
(/.f64 (fma.f64 (PI.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))) (.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))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (.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))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 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 3 binary64)) (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 -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 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))) (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 (fma.f64 (-.f64 #s(literal 0 binary64) (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 -2 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))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 0 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))))))) (PI.f64))) (.f64 (+.f64 #s(literal 0 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 (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) (PI.f64)) #s(literal 1/8 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:

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

Results

Accuracy	Segments	Branch
11.0%	2	`x`
11.0%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
11.0%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-32.4MiB 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 (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

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

Results

Accuracy	Segments	Branch
10.9%	2	`(-.f64 #s(literal 1 binary64) x)`
10.9%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.9%	2	`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 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.9%	2	`x`
9.9%	2	`(-.f64 #s(literal 1 binary64) x)`
9.9%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) 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	`(-.f64 #s(literal 1 binary64) x)`
7.0%	1	`(acos.f64 (-.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	`(-.f64 #s(literal 1 binary64) x)`
3.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch17.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.782111185339012e-19	1.5456550267001783e-15

Samples

10.0ms

128×

valid

Compiler

Compiled 392 to 208 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-acos: 4.0ms (56.1% of total)

adjust: 2.0ms (28% of total)

ival-sub: 1.0ms (14% 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

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.575503985246929e-8

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.575503985246929e-8

Compiler

Compiled 8 to 8 computations (0% saved)

simplify7.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	100
1	56	100
2	71	100
3	82	100
4	87	100
5	88	100

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 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 (/.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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 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 x #s(literal 8924260225606735/162259276829213363391578010288128 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)) (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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))

soundness272.0ms (2.8%)

Memory

7.8MiB live, 7.8MiB allocated

Rules

5 630×	`lower-*.f32`
5 620×	`lower-*.f64`
5 506×	`lower-fma.f64`
5 506×	`lower-fma.f32`
5 212×	`lower-fma.f32`

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
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

Stop Event

1×	fuel
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 121 to 55 computations (54.5% saved)

preprocess66.0ms (0.7%)

Memory: -4.2MiB live, 43.9MiB allocated
Compiler: Compiled 228 to 94 computations (58.8% 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%)

sample2.5s (25.8%)

preprocess15.0ms (0.2%)

explain123.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize44.0ms (0.5%)

series1.0ms (0%)

rewrite445.0ms (4.7%)

simplify12.0ms (0.1%)

eval63.0ms (0.7%)

prune46.0ms (0.5%)

simplify4.0ms (0%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite304.0ms (3.2%)

simplify5.0ms (0.1%)

eval82.0ms (0.9%)

prune166.0ms (1.7%)

simplify365.0ms (3.8%)

localize303.0ms (3.2%)

series5.0ms (0.1%)

rewrite511.0ms (5.3%)

simplify35.0ms (0.4%)

eval945.0ms (9.9%)

prune416.0ms (4.3%)

simplify337.0ms (3.5%)

localize177.0ms (1.9%)

series4.0ms (0%)

rewrite716.0ms (7.5%)

simplify55.0ms (0.6%)

eval925.0ms (9.7%)

prune570.0ms (6%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness272.0ms (2.8%)

preprocess66.0ms (0.7%)

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