Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.3s (25%)

Memory

-21.1MiB live, 2 058.0MiB allocated

Samples

1.0s	8 068×	1	valid
10.0ms	188×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 773.0ms

ival-acos: 365.0ms (47.2% of total)

ival-sub: 216.0ms (27.9% of total)

adjust: 120.0ms (15.5% of total)

ival-<=: 41.0ms (5.3% of total)

exact: 18.0ms (2.3% of total)

ival-and: 11.0ms (1.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess14.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

2×	egg-herbie

Rules

28×	`sub-neg`
24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
18×	`--lowering--.f32`
18×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	13
2	32	13
3	57	13
4	83	13
5	117	13
6	137	13
0	4	4
1	8	4
2	12	4
3	17	4
4	24	4
5	32	4
6	42	4
7	53	4
8	56	4
0	56	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(acos (- 1 x))

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

Call 2

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

Outputs
(acos (- 1 x))
(acos (- 1 (neg x)))
(acos (+ 1 x))
(neg (acos (- 1 (neg x))))
(neg (acos (+ 1 x)))

explain122.0ms (2.3%)

Memory

-32.0MiB live, 169.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
254	1	(0.001817255400716198)	1	(0.006438765455510339)	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	253	1
-	1	1

Precision

0.9960629921259843

Recall

0.9960629921259843

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	1	0
-	1	0	1

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	496×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-acos: 20.0ms (62.6% of total)

ival-sub: 6.0ms (18.8% of total)

adjust: 5.0ms (15.7% of total)

exact: 1.0ms (3.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
18×	`--lowering--.f32`
18×	`--lowering--.f64`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	8	9
2	12	9
3	17	9
4	24	9
5	32	9
6	42	9
7	53	9
8	56	9
0	56	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(acos (- 1 x))
(- 1 x)
1
x

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

localize31.0ms (0.6%)

Memory

15.2MiB live, 54.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	7.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

24.0ms	248×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-acos: 10.0ms (62.8% of total)

ival-sub: 3.0ms (18.8% of total)

adjust: 2.0ms (12.6% of total)

exact: 0.0ms (0% of total)

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

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

series1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (acos (- 1 x))>
#<alt (- 1 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	@	-inf	(- 1 x)
0.0ms	x	@	0	(acos (- 1 x))
0.0ms	x	@	0	(- 1 x)

rewrite389.0ms (7.4%)

Memory

-12.7MiB live, 535.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 910×	`accelerator-lowering-fma.f32`
4 910×	`accelerator-lowering-fma.f64`
4 364×	`-lowering-.f32`
4 364×	`-lowering-.f64`
4 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	26	7
2	169	7
3	1385	7
0	9372	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 339

Calls

Call 1

Inputs
(acos (- 1 x))
(- 1 x)

Outputs
(acos.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (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 (fma.f64 x #s(literal -1 binary64) #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)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 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 (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)) (-.f64 #s(literal 0 binary64) (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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 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 (+.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 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 (+.f64 #s(literal 1 binary64) x))))))
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simplify13.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
48×	`+-lowering-+.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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) 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)

eval52.0ms (1%)

Memory: -9.0MiB live, 68.3MiB allocated
Compiler: Compiled 12 964 to 1 317 computations (89.8% saved)

prune41.0ms (0.8%)

Memory

0.1MiB live, 76.6MiB 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

9.6%

Counts

364 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	7.0%	(acos.f64 (-.f64 #s(literal 0 binary64) x))
▶	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	14	10
3	17	10
4	21	10
5	26	10
0	26	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(acos 1)
1
(acos (- 0 x))
(- 0 x)
0
x

Outputs
(acos 1)
(acos.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
(acos (- 0 x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x

localize19.0ms (0.4%)

Memory

26.8MiB live, 26.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(acos.f64 (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(acos.f64 #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 14 to 8 computations (42.9% saved)

Precisions

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

ival-acos: 4.0ms (71% of total)

ival-sub: 1.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

3 → 24

Calls

Call 1

Inputs
#<alt (acos 1)>
#<alt (acos (- 0 x))>
#<alt (- 0 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	(- 0 x)
0.0ms	x	@	0	(acos (- 0 x))
0.0ms	x	@	-inf	(acos (- 0 x))
0.0ms	x	@	inf	(acos (- 0 x))
0.0ms	x	@	0	(- 0 x)

rewrite259.0ms (4.9%)

Memory

-39.4MiB live, 371.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 264×	`-lowering-.f32`
3 264×	`-lowering-.f64`
2 386×	`/-lowering-/.f32`
2 386×	`/-lowering-/.f64`
2 000×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	30	7
2	212	7
3	2226	5
0	8491	5

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 370

Calls

Call 1

Inputs
(acos 1)
(acos (- 0 x))
(- 0 x)

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

simplify7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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 (-.f64 #s(literal 0 binary64) x))
(acos (neg x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (neg x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (neg x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (neg x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (neg x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (neg x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (neg x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (* -1 x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (* -1 x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (* -1 x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(acos (* -1 x))
(acos.f64 (-.f64 #s(literal 0 binary64) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval57.0ms (1.1%)

Memory: -4.1MiB live, 113.9MiB allocated
Compiler: Compiled 12 435 to 1 228 computations (90.1% saved)

prune43.0ms (0.8%)

Memory

8.2MiB live, 86.8MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	392	2	394
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	394	3	397

Accuracy

9.6%

Counts

397 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify11.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(acos.f64 x)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	1664	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
✓	cost-diff	0	(acos.f64 x)

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
72×	`-lowering-.f32`
72×	`-lowering-.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	14	16
2	21	16
3	32	16
4	50	16
5	92	16
6	136	16
7	193	16
8	209	16
9	217	16
0	217	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(acos x)
(acos.f64 x)
x
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
(-.f64 (PI.f64) (acos.f64 x))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(neg (acos x))
(-.f64 #s(literal 0 binary64) (acos.f64 x))
(acos x)
(acos.f64 x)
x

localize27.0ms (0.5%)

Memory

-10.7MiB live, 28.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(acos.f64 x)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	97.6%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
✓	accuracy	100.0%	(acos.f64 x)

Samples

17.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 2.0ms (20.5% of total)

ival-mult: 2.0ms (20.5% of total)

ival-sqrt: 2.0ms (20.5% of total)

ival-acos: 2.0ms (20.5% of total)

ival-pi: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

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

series1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (acos x)>
#<alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))>
#<alt (sqrt (PI))>
#<alt (PI)>

Outputs
#<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)>
#<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

6 calls:

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

rewrite344.0ms (6.6%)

Memory

-1.3MiB live, 402.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 124×	`accelerator-lowering-fma.f32`
6 124×	`accelerator-lowering-fma.f64`
2 980×	`-lowering-.f32`
2 980×	`-lowering-.f64`
2 112×	`exp-lowering-exp.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	47	9
2	354	9
3	3730	9
0	8712	9

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 447

Calls

Call 1

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

Outputs
(acos.f64 x)
(+.f64 (acos.f64 x) #s(literal 0 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 1 binary64)))
(+.f64 (asin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (acos.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal -1 binary64)))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 x))
(-.f64 #s(literal 0 binary64) (acos.f64 x))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (acos.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (acos.f64 x)) (acos.f64 x))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 x) (+.f64 (acos.f64 x) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (asin.f64 x) (+.f64 (acos.f64 x) (PI.f64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (acos.f64 x) (PI.f64))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (+.f64 (acos.f64 x) (PI.f64))))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 x))
(fma.f64 (acos.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (acos.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (-.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (-.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (-.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 1 binary64)))
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(exp.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64))))
(fabs.f64 (PI.f64))
(fabs.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))
(-.f64 (PI.f64) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (PI.f64) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (PI.f64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (log.f64 (exp.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (E.f64) (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (E.f64) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (E.f64) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (E.f64) (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (E.f64) (.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (pow.f64 (E.f64) (.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (E.f64) (.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (pow.f64 (E.f64) (.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/3 binary64)) (fma.f64 (log.f64 (PI.f64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (log.f64 (exp.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (exp.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (E.f64) (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (E.f64) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (E.f64) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (E.f64) (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))))
(.f64 (pow.f64 (E.f64) (.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (pow.f64 (E.f64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (E.f64) (.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (pow.f64 (E.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))))

simplify14.0ms (0.3%)

Memory

-18.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(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))

Outputs
(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)
(- (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))

eval130.0ms (2.5%)

Memory: 34.9MiB live, 149.3MiB allocated
Compiler: Compiled 12 560 to 1 585 computations (87.4% saved)

prune101.0ms (1.9%)

Memory

-37.3MiB live, 178.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	799	2	801
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	799	5	804

Accuracy

9.7%

Counts

804 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))))
✓	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
▶	7.0%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 2 binary64))) (+.f64 (acos.f64 x) (PI.f64)))
✓	7.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 x)

Compiler

Compiled 58 to 39 computations (32.8% saved)

simplify316.0ms (6%)

Memory

-7.0MiB live, 351.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	320	(neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x))))
✓	cost-diff	1664	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))))
✓	cost-diff	3968	(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
✓	cost-diff	0	(pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 2 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 2 binary64))) (+.f64 (acos.f64 x) (PI.f64)))

Rules

8 398×	`accelerator-lowering-fma.f32`
8 398×	`accelerator-lowering-fma.f64`
3 250×	`-lowering-.f32`
3 250×	`-lowering-.f64`
1 026×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
1	56	102
2	152	101
3	489	99
4	1184	99
5	2220	99
6	4392	99
7	6052	99
8	7733	99
0	8017	97

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2)) (+ (acos x) (PI)))
(- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(pow (- 0 (asin x)) 2)
(- 0 (asin x))
0
(asin x)
x
2
(+ (acos x) (PI))
(acos x)
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))))
(sqrt (PI))
(PI)
(neg (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x))))
(+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))
(sqrt (sqrt (PI)))
(* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))
(* (sqrt (PI)) 1/2)
1/2
(- 0 (asin x))
0
(asin x)
x

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

localize86.0ms (1.6%)

Memory

18.5MiB live, 58.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.5%	(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	97.6%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (acos.f64 x) (PI.f64))
✓	accuracy	100.0%	(pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 2 binary64))
✓	accuracy	98.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 x)) #s(literal 2 binary64))) (+.f64 (acos.f64 x) (PI.f64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 15.0ms (35.4% of total)

ival-mult: 8.0ms (18.9% of total)

ival-add: 3.0ms (7.1% of total)

ival-sqrt: 3.0ms (7.1% of total)

ival-pow2: 3.0ms (7.1% of total)

ival-acos: 2.0ms (4.7% of total)

ival-asin: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% of total)

ival-pi: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

9 → 84

Calls

Call 1

Inputs
#<alt (/ (- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2)) (+ (acos x) (PI)))>
#<alt (- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2))>
#<alt (PI)>
#<alt (pow (- 0 (asin x)) 2)>
#<alt (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))>
#<alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))))>
#<alt (neg (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x))))>
#<alt (sqrt (PI))>
#<alt (+ (acos x) (PI))>

Outputs
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (pow (asin x) 2)>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (* 1/2 (PI)) (asin x))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (+ (PI) (asin x)) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<alt (- (asin x) (* 1/2 (PI)))>
#<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

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2)) (+ (acos x) (PI)))
1.0ms	x	@	0	(+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))
1.0ms	x	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2)) (+ (acos x) (PI)))
1.0ms	x	@	-inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2)) (+ (acos x) (PI)))
0.0ms	x	@	0	(+ (* (sqrt (PI)) (sqrt (PI))) (neg (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))))

rewrite458.0ms (8.7%)

Memory

13.1MiB live, 409.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 146×	`accelerator-lowering-fma.f32`
8 146×	`accelerator-lowering-fma.f64`
3 464×	`-lowering-.f32`
3 464×	`-lowering-.f64`
3 276×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	90
1	146	45
2	1389	33
0	9209	33

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 905

Calls

Call 1

Inputs
(/ (- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2)) (+ (acos x) (PI)))
(- (* (* (PI) (PI)) 1/4) (pow (- 0 (asin x)) 2))
(PI)
(pow (- 0 (asin x)) 2)
(+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x)))))
(neg (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (* (sqrt (PI)) 1/2))) (- 0 (asin x))))
(sqrt (PI))
(+ (acos x) (PI))

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

simplify532.0ms (10.2%)

Memory

-20.7MiB live, 578.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 304×	`accelerator-lowering-fma.f32`
16 304×	`accelerator-lowering-fma.f64`
3 390×	`+-lowering-+.f64`
3 390×	`+-lowering-+.f32`
1 896×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	636
1	40	636
2	78	612
3	136	612
4	296	612
5	917	612
6	2245	612
7	4599	612
8	6131	612
9	6799	612
10	7016	612
11	7099	612
12	7131	612
13	7139	612
14	7198	612
15	7514	612
16	7715	612
17	7727	612
18	7733	612
19	7733	612
0	8871	588

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(pow (asin x) 2)
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (* 1/2 (PI)) (asin x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(- (asin x) (* 1/2 (PI)))
(+ (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
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin x) 2)) (+ (PI) (acos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (+.f64 (PI.f64) (acos.f64 x)))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(- (* 1/4 (pow (PI) 2)) (pow (asin x) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal -1/4 binary64) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(pow (asin x) 2)
(pow.f64 (asin.f64 x) #s(literal 2 binary64))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (* 1/2 (PI)) (asin x))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x)))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (+ (PI) (asin x)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 x))
(- (asin x) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.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))

eval205.0ms (3.9%)

Memory: 31.0MiB live, 258.8MiB allocated
Compiler: Compiled 38 438 to 4 475 computations (88.4% saved)

prune174.0ms (3.3%)

Memory

-36.3MiB live, 256.2MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 463	3	1 466
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	1 465	6	1 471

Accuracy

9.7%

Counts

1 471 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (acos.f64 x))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))
	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (asin.f64 x))))
✓	7.0%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
	7.0%	(/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (acos.f64 x) (PI.f64)))
✓	7.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(acos.f64 x)

Compiler

Compiled 218 to 108 computations (50.5% saved)

regimes10.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (acos.f64 x) (PI.f64)))
(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
9.7%	2	`x`
9.7%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.7%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (-.f64 #s(literal 0 binary64) 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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (asin.f64 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (asin.f64 x)))))

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 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
9.6%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.6%	2	`(-.f64 #s(literal 1 binary64) x)`
9.6%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 x)
(acos.f64 (-.f64 #s(literal 0 binary64) x))

Outputs
(acos.f64 x)

Calls

3 calls:

2.0ms	x
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.1%)

Memory

-34.0MiB live, 5.7MiB 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:

2.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch15.0ms (0.3%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.248615927294716e-17	8.076582599762001e-16

Samples

10.0ms

112×

valid

Compiler

Compiled 127 to 99 computations (22% saved)

Precisions

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

ival-acos: 4.0ms (60.9% of total)

ival-sub: 1.0ms (15.2% of total)

adjust: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999992	1.0

Compiler

Compiled 8 to 8 computations (0% saved)

simplify8.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	23	33
2	27	33
3	29	33
4	30	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (acos.f64 x) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740985/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 x))
(acos.f64 x)
(acos.f64 #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (acos.f64 x) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740985/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 x))
(acos.f64 x)
(acos.f64 #s(literal 1 binary64))

soundness346.0ms (6.6%)

Memory

-18.0MiB live, 141.9MiB allocated

Rules

8 146×	`accelerator-lowering-fma.f32`
8 146×	`accelerator-lowering-fma.f64`
6 124×	`accelerator-lowering-fma.f32`
6 124×	`accelerator-lowering-fma.f64`
3 464×	`-lowering-.f32`

Iterations

Useful iterations: 3 (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	7	9
1	47	9
2	354	9
3	3730	9
0	8712	9
0	24	90
1	146	45
2	1389	33
0	9209	33
0	6	7
1	30	7
2	212	7
3	2226	5
0	8491	5

Stop Event

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

Compiler

Compiled 61 to 38 computations (37.7% saved)

preprocess68.0ms (1.3%)

Memory: -0.8MiB live, 77.3MiB allocated
Compiler: Compiled 94 to 54 computations (42.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	15
1	18	13
2	32	13
3	57	13
4	83	13
5	117	13
6	137	13
0	4	4
1	8	4
2	12	4
3	17	4
4	24	4
5	32	4
6	42	4
7	53	4
8	56	4
0	56	4

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

Iter	Nodes	Cost
0	8	15
1	18	13
2	32	13
3	57	13
4	83	13
5	117	13
6	137	13
0	4	4
1	8	4
2	12	4
3	17	4
4	24	4
5	32	4
6	42	4
7	53	4
8	56	4
0	56	4

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

analyze0.0ms (0%)

sample1.3s (25%)

preprocess14.0ms (0.3%)

explain122.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize31.0ms (0.6%)

series1.0ms (0%)

rewrite389.0ms (7.4%)

simplify13.0ms (0.2%)

eval52.0ms (1%)

prune41.0ms (0.8%)

simplify4.0ms (0.1%)

localize19.0ms (0.4%)

series0.0ms (0%)

rewrite259.0ms (4.9%)

simplify7.0ms (0.1%)

eval57.0ms (1.1%)

prune43.0ms (0.8%)

simplify11.0ms (0.2%)

localize27.0ms (0.5%)

series1.0ms (0%)

rewrite344.0ms (6.6%)

simplify14.0ms (0.3%)

eval130.0ms (2.5%)

prune101.0ms (1.9%)

simplify316.0ms (6%)

localize86.0ms (1.6%)

series7.0ms (0.1%)

rewrite458.0ms (8.7%)

simplify532.0ms (10.2%)

eval205.0ms (3.9%)

prune174.0ms (3.3%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch15.0ms (0.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

soundness346.0ms (6.6%)

preprocess68.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	15
1	18	13
2	32	13
3	57	13
4	83	13
5	117	13
6	137	13
0	4	4
1	8	4
2	12	4
3	17	4
4	24	4
5	32	4
6	42	4
7	53	4
8	56	4
0	56	4

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