Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.7s (20%)

Memory

-24.4MiB live, 2 412.9MiB allocated

Samples

1.3s	7 967×	1	valid
49.0ms	289×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 931.0ms

ival-acos: 454.0ms (48.8% of total)

ival-sub: 247.0ms (26.5% of total)

adjust: 122.0ms (13.1% of total)

ival-<=: 74.0ms (7.9% of total)

ival-and: 17.0ms (1.8% of total)

exact: 14.0ms (1.5% of total)

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

Bogosity

preprocess22.0ms (0.3%)

Memory

-9.6MiB live, 26.0MiB 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))

explain87.0ms (1%)

Memory

12.7MiB live, 132.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	252	1

Confusion

	Predicted +	Predicted -
+	252	0
-	0	4

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	0
-	0	1	3

Precision?

0.9960474308300395

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	500×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-acos: 20.0ms (61.2% of total)

adjust: 6.0ms (18.4% of total)

ival-sub: 6.0ms (18.4% of total)

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

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

exact: 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

1.1MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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

localize35.0ms (0.4%)

Memory

-0.0MiB live, 37.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

28.0ms	250×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-acos: 14.0ms (69.2% of total)

adjust: 3.0ms (14.8% of total)

ival-sub: 3.0ms (14.8% of total)

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

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

exact: 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	(acos (- 1 x))
0.0ms	x	@	0	(acos (- 1 x))
0.0ms	x	@	-inf	(- 1 x)
0.0ms	x	@	0	(- 1 x)

rewrite301.0ms (3.6%)

Memory

-30.2MiB live, 309.7MiB 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)))

simplify11.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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)

eval46.0ms (0.5%)

Memory: 5.4MiB live, 42.6MiB allocated
Compiler: Compiled 12 869 to 1 318 computations (89.8% saved)

prune37.0ms (0.4%)

Memory

8.6MiB live, 46.9MiB 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

9.0%

Counts

364 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.9%	(acos.f64 (neg.f64 x))
▶	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB 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

localize18.0ms (0.2%)

Memory

-33.6MiB live, 9.1MiB 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

9.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-acos: 4.0ms (84.2% of total)

ival-neg: 1.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

3 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite274.0ms (3.2%)

Memory

10.9MiB live, 202.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 283

Calls

Call 1

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

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

simplify5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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)

eval38.0ms (0.4%)

Memory: 20.4MiB live, 56.4MiB allocated
Compiler: Compiled 8 248 to 1 044 computations (87.3% saved)

prune42.0ms (0.5%)

Memory

-34.7MiB live, 62.0MiB 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

9.9%

Counts

310 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
▶	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
▶	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
▶	6.9%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.9%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 105 to 61 computations (41.9% saved)

simplify263.0ms (3.1%)

Memory

23.4MiB live, 179.6MiB 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

localize296.0ms (3.5%)

Memory

3.9MiB live, 350.8MiB allocated

Localize:

Found 16 expressions of interest:

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

Samples

218.0ms

256×

valid

Compiler

Compiled 307 to 42 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-mult: 46.0ms (27.1% of total)

adjust: 29.0ms (17.1% of total)

ival-div: 20.0ms (11.8% of total)

ival-add: 18.0ms (10.6% of total)

ival-sqrt: 9.0ms (5.3% of total)

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

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

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

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

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

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

const: 4.0ms (2.4% of total)

ival-acos: 4.0ms (2.4% of total)

exact: 1.0ms (0.6% of total)

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

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

series3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

18 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite513.0ms (6.1%)

Memory

10.7MiB live, 533.4MiB 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))))))))
(.f64 (asin.f64 #s(literal 1 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
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(.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
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(.f64 (.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64)))) #s(literal 3/2 binary64)))
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(exp.f64 (+.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64))) (log.f64 (asin.f64 #s(literal 1 binary64)))))
(exp.f64 (fma.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 #s(literal 1 binary64))))
(*.f64 (asin.f64 #s(literal 1 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (asin.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))

simplify31.0ms (0.4%)

Memory

2.3MiB live, 39.9MiB 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)

eval794.0ms (9.4%)

Memory: 13.1MiB live, 903.9MiB allocated
Compiler: Compiled 238 307 to 11 024 computations (95.4% saved)

prune471.0ms (5.6%)

Memory

13.8MiB live, 801.9MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	4 143	13	4 156
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	4 146	17	4 163

Accuracy

10.2%

Counts

4 163 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
	7.7%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 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))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
	7.7%	(fma.f64 (/.f64 #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))))))
▶	7.6%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
	7.6%	(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))))))
▶	6.9%	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
▶	7.7%	(fma.f64 (.f64 (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))))))))
✓	6.9%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
	7.7%	(fma.f64 (PI.f64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
▶	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 2 binary64)))
	7.7%	(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
	7.7%	(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 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 #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 (/.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 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (-.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 -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) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 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 #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)))))))))))
	7.7%	(/.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.9%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 1 305 to 558 computations (57.2% saved)

simplify485.0ms (5.7%)

Memory

9.9MiB live, 679.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
✓	cost-diff	0	(asin.f64 #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))
✓	cost-diff	28096	(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)))))))
✓	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 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64))
✓	cost-diff	0	(.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))
✓	cost-diff	7488	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	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 (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)))

Rules

16 814×	`lower-fma.f32`
16 800×	`lower-fma.f64`
5 468×	`lower-*.f32`
5 444×	`lower-*.f64`
2 730×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	654
0	101	663
1	195	609
2	509	605
3	1809	563
4	4711	553
0	8142	553

Stop Event

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

Calls

Call 1

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

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

localize565.0ms (6.7%)

Memory

18.9MiB live, 416.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
✓	accuracy	98.4%	(/.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))))))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	3.2%	(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)))))))
✓	accuracy	98.4%	(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
✓	accuracy	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 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	accuracy	3.2%	(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))))))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.4%	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	3.3%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	accuracy	98.5%	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	98.4%	(cbrt.f64 (PI.f64))
✓	accuracy	98.4%	(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))
✓	accuracy	98.4%	(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	3.2%	(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)))))

Samples

374.0ms

256×

valid

Compiler

Compiled 716 to 60 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-mult: 75.0ms (26.7% of total)

ival-pow: 50.0ms (17.8% of total)

adjust: 39.0ms (13.9% of total)

ival-div: 31.0ms (11% of total)

ival-add: 21.0ms (7.5% of total)

ival-sqrt: 16.0ms (5.7% of total)

ival-neg: 14.0ms (5% of total)

ival-pow2: 13.0ms (4.6% of total)

ival-cbrt: 8.0ms (2.8% of total)

ival-asin: 5.0ms (1.8% of total)

ival-acos: 5.0ms (1.8% of total)

ival-pi: 4.0ms (1.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

25 → 12

Calls

Call 1

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

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))>

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))

0.0ms

inf

(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))

0.0ms

-inf

(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))

rewrite540.0ms (6.4%)

Memory

-21.6MiB live, 253.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 904×	`lower-fma.f32`
4 890×	`lower-fma.f64`
3 854×	`lower-*.f32`
3 832×	`lower-*.f64`
3 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	396
0	101	428
1	371	182
2	3114	176
0	8256	175

Stop Event

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

Counts

25 → 1 661

Calls

Call 1

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

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

simplify38.0ms (0.5%)

Memory

29.9MiB live, 67.7MiB 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	48
1	6	48
2	11	48
3	17	48
4	25	48
5	40	48
6	73	48
7	97	48
8	141	48
9	156	48
10	164	48
0	164	48

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

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))

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))

eval739.0ms (8.7%)

Memory: -31.6MiB live, 1 028.5MiB allocated
Compiler: Compiled 225 514 to 10 991 computations (95.1% saved)

prune484.0ms (5.7%)

Memory

-19.9MiB live, 596.1MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	4 494	14	4 508
Fresh	4	4	8
Picked	1	4	5
Done	0	4	4
Total	4 499	26	4 525

Accuracy

10.2%

Counts

4 525 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.9%	(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
	7.7%	(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 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 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
✓	7.7%	(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
	7.7%	(fma.f64 (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) #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 (PI.f64) (PI.f64))))
	7.7%	(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (-.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
	7.7%	(fma.f64 (/.f64 (.f64 (.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)))) (PI.f64) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
	7.7%	(fma.f64 (/.f64 #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))))))
	7.6%	(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))))))
✓	7.6%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
	7.7%	(fma.f64 (.f64 (.f64 (PI.f64) (.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
	7.6%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓	7.7%	(fma.f64 (.f64 (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))))))))
	7.7%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.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))))))
✓	6.9%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
	7.7%	(/.f64 (fma.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))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 2 binary64)))
	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 2 binary64)))
✓	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 2 binary64)))
	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.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 (exp.f64 (log.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))))) #s(literal 2 binary64)))
	7.7%	(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (exp.f64 (.f64 #s(literal 2 binary64) (log.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)))))))
	7.7%	(/.f64 (fma.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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
	7.7%	(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 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 #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 (/.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 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (-.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 -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) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 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 #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)))))))))))
	7.7%	(/.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (pow.f64 (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 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
	7.7%	(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) #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 (.f64 (PI.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 (.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))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) #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 (.f64 (PI.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))))))) (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)))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.9%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 2 645 to 693 computations (73.8% saved)

regimes26.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

34 → 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 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.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))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (.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)))) (PI.f64) (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) (.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) (.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (pow.f64 (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 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (neg.f64 (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) #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 (PI.f64) (PI.f64))))
(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)))))))
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 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 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 (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 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 (.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))))) (exp.f64 (.f64 #s(literal 2 binary64) (log.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 (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 (exp.f64 (log.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))))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (-.f64 (.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 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))) (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 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) #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 (.f64 (PI.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 (.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))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) #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 (.f64 (PI.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))))))) (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 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 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 #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 (/.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 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (-.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 -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) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 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 #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)))))))))))

Outputs

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

(/.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)))

Calls

3 calls:

9.0ms	x
8.0ms	(-.f64 #s(literal 1 binary64) x)
7.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.0%	2	`x`
10.0%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.0%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory

-27.9MiB live, 11.3MiB allocated

Counts

25 → 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 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.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))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (.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)))) (PI.f64) (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) (.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) (.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (pow.f64 (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 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (neg.f64 (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) #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 (PI.f64) (PI.f64))))
(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)))))))
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 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 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)))))))

Outputs

(/.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)))

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

Calls

3 calls:

7.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.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))))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

10 → 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))))))

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:

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

Results

Accuracy	Segments	Branch
9.9%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.9%	2	`(-.f64 #s(literal 1 binary64) x)`
9.9%	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
9.0%	2	`(-.f64 #s(literal 1 binary64) x)`
9.0%	2	`x`
9.0%	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	(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
6.9%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
6.9%	1	`(-.f64 #s(literal 1 binary64) x)`
6.9%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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	`(-.f64 #s(literal 1 binary64) x)`
3.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
3.8%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999997	1.0

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch15.0ms (0.2%)

Memory

-36.7MiB live, 4.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.94574286647332e-18	3.0618978632554363e-16

Samples

9.0ms

112×

valid

Compiler

Compiled 274 to 162 computations (40.9% saved)

Precisions

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

ival-acos: 4.0ms (64.5% of total)

ival-sub: 1.0ms (16.1% of total)

adjust: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.94574286647332e-18	3.0618978632554363e-16

Compiler

Compiled 274 to 183 computations (33.2% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.94574286647332e-18	3.0618978632554363e-16

Compiler

Compiled 218 to 148 computations (32.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.94574286647332e-18	3.0618978632554363e-16

Compiler

Compiled 85 to 71 computations (16.5% saved)

simplify9.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	188
1	87	188
2	109	188
3	122	188
4	126	188
5	127	188

Stop Event

1×

saturated

Calls

Call 1

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

soundness419.0ms (5%)

Memory

12.2MiB live, 12.2MiB 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	14	80
1	29	80
2	62	80
3	113	80
4	171	80
5	239	80
6	259	80
0	259	80
0	51	396
0	101	428
1	371	182
2	3114	176
0	8256	175
0	34	166
0	66	124
1	255	78
2	2132	77
0	9981	77
0	5	7
0	8	7
1	22	7
2	104	7
3	919	7
0	8601	7

Stop Event

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

Compiler

Compiled 218 to 81 computations (62.8% saved)

preprocess79.0ms (0.9%)

Memory: 10.4MiB live, 49.5MiB allocated
Compiler: Compiled 404 to 128 computations (68.3% 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	48
1	6	48
2	11	48
3	17	48
4	25	48
5	40	48
6	73	48
7	97	48
8	141	48
9	156	48
10	164	48
0	164	48

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	48
1	6	48
2	11	48
3	17	48
4	25	48
5	40	48
6	73	48
7	97	48
8	141	48
9	156	48
10	164	48
0	164	48

analyze0.0ms (0%)

sample1.7s (20%)

preprocess22.0ms (0.3%)

explain87.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize35.0ms (0.4%)

series1.0ms (0%)

rewrite301.0ms (3.6%)

simplify11.0ms (0.1%)

eval46.0ms (0.5%)

prune37.0ms (0.4%)

simplify4.0ms (0.1%)

localize18.0ms (0.2%)

series1.0ms (0%)

rewrite274.0ms (3.2%)

simplify5.0ms (0.1%)

eval38.0ms (0.4%)

prune42.0ms (0.5%)

simplify263.0ms (3.1%)

localize296.0ms (3.5%)

series3.0ms (0%)

rewrite513.0ms (6.1%)

simplify31.0ms (0.4%)

eval794.0ms (9.4%)

prune471.0ms (5.6%)

simplify485.0ms (5.7%)

localize565.0ms (6.7%)

series1.0ms (0%)

rewrite540.0ms (6.4%)

simplify38.0ms (0.5%)

eval739.0ms (8.7%)

prune484.0ms (5.7%)

regimes26.0ms (0.3%)

regimes20.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness419.0ms (5%)

preprocess79.0ms (0.9%)

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	48
1	6	48
2	11	48
3	17	48
4	25	48
5	40	48
6	73	48
7	97	48
8	141	48
9	156	48
10	164	48
0	164	48