Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.5s (21.8%)

Memory

3.4MiB live, 1 712.9MiB allocated

Samples

1.1s	7 937×	1	valid
17.0ms	319×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 862.0ms

ival-acos: 507.0ms (58.8% of total)

ival-sub: 145.0ms (16.8% of total)

adjust: 127.0ms (14.7% of total)

ival-<=: 53.0ms (6.1% of total)

exact: 14.0ms (1.6% of total)

ival-and: 12.0ms (1.4% of total)

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

Bogosity

explain94.0ms (1.3%)

Memory

22.6MiB live, 158.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	254	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	494×	1	valid
3.0ms	18×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-acos: 23.0ms (56.5% of total)

ival-sub: 9.0ms (22.1% of total)

adjust: 7.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess11.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	8	11
0	4	4
0	6	4
1	8	4
0	8	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune8.0ms (0.1%)

Memory

-62.5MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	8	9
0	8	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

37.6MiB live, 37.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	59.883017288063286	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

25.0ms	247×	1	valid
0.0ms	9×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-acos: 10.0ms (59.3% of total)

ival-sub: 3.0ms (17.8% of total)

adjust: 3.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 7

Calls

Call 1

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

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

Calls

3 calls:

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

simplify9.0ms (0.1%)

Memory

-37.1MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	27	29
2	40	29
3	76	29
4	119	29
5	177	29
6	190	29
0	190	29

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 7

Calls

Call 1

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

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

rewrite207.0ms (2.9%)

Memory

23.6MiB live, 165.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	27	7
2	148	7
3	1147	7
0	9155	7

Stop Event

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

Counts

2 → 200

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval60.0ms (0.9%)

Memory: -14.1MiB live, 31.0MiB allocated
Compiler: Compiled 6 321 to 783 computations (87.6% saved)

prune11.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	194	12	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	13	207

Accuracy

9.2%

Counts

207 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	6.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	6.4%	(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
	6.4%	(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.4%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	6.4%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
▶	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 816 to 320 computations (60.8% saved)

simplify178.0ms (2.5%)

Memory

-13.9MiB live, 133.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	9	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	260
0	53	260
1	77	260
2	140	260
3	397	260
4	1236	252
5	3829	251
0	8023	251

Stop Event

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

Calls

Call 1

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

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

localize272.0ms (3.9%)

Memory

25.9MiB live, 216.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.9375	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy	0.9795112793053261	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	58.21222265842277	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
accuracy	0.03515625	(/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.0546875	(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.7654720174401454	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.36096246333249	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy	0.0	#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
accuracy	0.14453125	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
accuracy	59.883017288063286	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
accuracy	1.2100362719041464	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	59.883017288063286	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	59.883017288063286	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.55542303250556	#s(approx (- 1 x) (neg.f64 x))

Samples

243.0ms	246×	1	valid
2.0ms	10×	0	valid

Compiler

Compiled 238 to 27 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-add: 81.0ms (37.3% of total)

ival-div: 41.0ms (18.9% of total)

ival-sub: 32.0ms (14.7% of total)

adjust: 14.0ms (6.4% of total)

ival-acos: 12.0ms (5.5% of total)

ival-pow2: 10.0ms (4.6% of total)

ival-asin: 9.0ms (4.1% of total)

ival-pow: 8.0ms (3.7% of total)

ival-mult: 6.0ms (2.8% of total)

ival-pi: 2.0ms (0.9% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory

-22.5MiB live, 23.0MiB allocated

Counts

20 → 27

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))

Outputs
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))
(asin (- 1 x))
(/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))
(pow (asin (- 1 x)) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* x (- (/ 1 x) 1))
-1
(- (/ 1 x) 1)
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))
(asin (+ 1 (* -1 x)))
(/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(pow (asin (+ 1 (* -1 x))) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) (asin (- 1 x)) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (- 1 x)) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)))
7.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) (asin (- 1 x)) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (- 1 x)) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)))
4.0ms	x	@	inf	((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) (asin (- 1 x)) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (- 1 x)) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)))

Time

Variable

Point

Expression

24.0ms

((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) (asin (- 1 x)) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (- 1 x)) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)))

7.0ms

-inf

((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) (asin (- 1 x)) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (- 1 x)) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)))

4.0ms

inf

((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (asin (- 1 x)) 3)) (pow (/ (PI) 2) 3) (asin (- 1 x)) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (- 1 x)) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)))

simplify100.0ms (1.4%)

Memory

25.8MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	303
1	113	298
2	312	298
3	664	298
4	1384	282
5	2628	280
6	3876	280
7	6245	280
8	7794	280
0	8061	266

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

Inputs
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))
(asin (- 1 x))
(/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))
(pow (asin (- 1 x)) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* x (- (/ 1 x) 1))
-1
(- (/ 1 x) 1)
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))
(asin (+ 1 (* -1 x)))
(/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(pow (asin (+ 1 (* -1 x))) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))

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

rewrite231.0ms (3.3%)

Memory

2.7MiB live, 234.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	204
0	53	185
1	212	151
2	1542	151
0	8436	147

Stop Event

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

Counts

20 → 587

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
#s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
(*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(expm1.f64 (neg.f64 (log.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))) (.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

eval272.0ms (3.9%)

Memory: 16.9MiB live, 296.3MiB allocated
Compiler: Compiled 75 755 to 3 627 computations (95.2% saved)

prune103.0ms (1.5%)

Memory

-3.0MiB live, 188.0MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1 101	25	1 126
Fresh	5	2	7
Picked	3	2	5
Done	0	1	1
Total	1 109	30	1 139

Accuracy

10.4%

Counts

1 139 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
▶	10.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	6.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
	5.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))))
	6.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	4.6%	(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	6.4%	(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.1%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶	6.4%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	2.7%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	10.2%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	4.6%	(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	4.6%	(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	4.6%	(-.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	5.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	2.7%	(-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	3.7%	(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
	4.9%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
▶	4.0%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)))
	5.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
▶	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
✓	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	4.6%	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 1 763 to 906 computations (48.6% saved)

simplify175.0ms (2.5%)

Memory

-52.5MiB live, 159.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	3	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	10	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
cost-diff	0	(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)
cost-diff	0	#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)))
cost-diff	0	#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
cost-diff	0	#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	3	(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	514
0	88	505
1	137	496
2	274	496
3	779	496
4	2390	488
5	6655	487
0	8150	486

Stop Event

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

Calls

Call 1

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

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

localize399.0ms (5.7%)

Memory

34.9MiB live, 494.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.96875	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
accuracy	0.9795112793053261	(pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	58.21222265842277	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)))
accuracy	0.0546875	(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.7654720174401454	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.36096246333249	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	59.883017288063286	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.14453125	(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)
accuracy	39.21274607138645	(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
accuracy	59.883017288063286	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)))
accuracy	0.0	#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
accuracy	0.14453125	(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
accuracy	1.1918069449784907	#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
accuracy	59.883017288063286	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
accuracy	0.7654720174401454	(asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.9375	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy	0.9795112793053261	(pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
accuracy	59.51157685579437	(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))

Samples

300.0ms	247×	1	valid
3.0ms	9×	0	valid

Compiler

Compiled 454 to 46 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

adjust: 84.0ms (33.7% of total)

ival-pow: 39.0ms (15.6% of total)

ival-pow2: 25.0ms (10% of total)

ival-div: 22.0ms (8.8% of total)

ival-asin: 19.0ms (7.6% of total)

ival-sub: 15.0ms (6% of total)

ival-acos: 13.0ms (5.2% of total)

ival-mult: 12.0ms (4.8% of total)

ival-add: 11.0ms (4.4% of total)

ival-sqrt: 4.0ms (1.6% of total)

ival-pi: 3.0ms (1.2% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series26.0ms (0.4%)

Memory

-18.7MiB live, 36.4MiB allocated

Counts

25 → 38

Calls

Call 1

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

Outputs
(+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3))
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(asin (- 1 x))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))
(pow (asin (- x 1)) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(asin (- x 1))
(/ 1 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 (* x (+ 1 x))) (pow x 2))
(pow (asin (- 1 x)) 3)
(* -1 x)
(* x (- (/ 1 x) 1))
-1
(- (/ 1 x) 1)
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3))
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(asin (+ 1 (* -1 x)))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))
(pow (asin (neg (+ 1 (* -1 x)))) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(asin (neg (+ 1 (* -1 x))))
(pow (asin (+ 1 (* -1 x))) 3)

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

-inf

((+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -3) 1) (+ (+ (pow x -2) 1) (pow x -1))) x) (/ (- (pow x -3) 1) (+ (+ (pow x -2) 1) (pow x -1))) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (- (/ (PI) 2) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (sqrt (asin (- 1 x))) 2) (/ (- (pow (/ (PI) 2) 3) (pow (pow (sqrt (asin (- 1 x))) 2) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (pow (sqrt (asin (- 1 x))) 2) 3)) (pow (/ (PI) 2) 3) (pow (asin (neg (- 1 x))) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (asin (neg (- 1 x))) (+ (+ (pow x -2) 1) (pow x -1)) (acos (- 1 x)) (asin (- 1 x)) (pow (pow (sqrt (asin (- 1 x))) 2) 3))

5.0ms

((+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -3) 1) (+ (+ (pow x -2) 1) (pow x -1))) x) (/ (- (pow x -3) 1) (+ (+ (pow x -2) 1) (pow x -1))) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (- (/ (PI) 2) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (sqrt (asin (- 1 x))) 2) (/ (- (pow (/ (PI) 2) 3) (pow (pow (sqrt (asin (- 1 x))) 2) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (pow (sqrt (asin (- 1 x))) 2) 3)) (pow (/ (PI) 2) 3) (pow (asin (neg (- 1 x))) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (asin (neg (- 1 x))) (+ (+ (pow x -2) 1) (pow x -1)) (acos (- 1 x)) (asin (- 1 x)) (pow (pow (sqrt (asin (- 1 x))) 2) 3))

5.0ms

inf

((+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (pow (/ (PI) 2) 2) (/ (PI) 2) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -3) 1) (+ (+ (pow x -2) 1) (pow x -1))) x) (/ (- (pow x -3) 1) (+ (+ (pow x -2) 1) (pow x -1))) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (- (/ (PI) 2) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (sqrt (asin (- 1 x))) 2) (/ (- (pow (/ (PI) 2) 3) (pow (pow (sqrt (asin (- 1 x))) 2) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (- (pow (/ (PI) 2) 3) (pow (pow (sqrt (asin (- 1 x))) 2) 3)) (pow (/ (PI) 2) 3) (pow (asin (neg (- 1 x))) 3) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (asin (neg (- 1 x))) (+ (+ (pow x -2) 1) (pow x -1)) (acos (- 1 x)) (asin (- 1 x)) (pow (pow (sqrt (asin (- 1 x))) 2) 3))

simplify100.0ms (1.4%)

Memory

11.8MiB live, 144.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	436
1	170	423
2	484	419
3	1428	419
4	4126	403
0	8263	381

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 38

Calls

Call 1

Inputs
(+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3))
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(asin (- 1 x))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3))
(pow (asin (- x 1)) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(asin (- x 1))
(/ 1 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 (* x (+ 1 x))) (pow x 2))
(pow (asin (- 1 x)) 3)
(* -1 x)
(* x (- (/ 1 x) 1))
-1
(- (/ 1 x) 1)
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3))
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(asin (+ 1 (* -1 x)))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3))
(pow (asin (neg (+ 1 (* -1 x)))) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(asin (neg (+ 1 (* -1 x))))
(pow (asin (+ 1 (* -1 x))) 3)

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

rewrite243.0ms (3.5%)

Memory

12.0MiB live, 390.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	350
0	88	361
1	370	205
2	2928	205
0	8171	197

Stop Event

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

Counts

25 → 863

Calls

Call 1

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

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

eval128.0ms (1.8%)

Memory: 21.1MiB live, 261.6MiB allocated
Compiler: Compiled 34 482 to 2 729 computations (92.1% saved)

prune53.0ms (0.8%)

Memory

0.7MiB live, 89.8MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	833	20	853
Fresh	9	13	22
Picked	4	1	5
Done	0	3	3
Total	846	37	883

Accuracy

10.4%

Counts

883 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.6%	(fma.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
	10.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	10.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
	10.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	10.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))
	10.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
	4.6%	(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	10.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	10.1%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	10.2%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	2.7%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶	10.2%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	4.6%	(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	4.6%	(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶	6.4%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	5.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	2.7%	(-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	10.1%	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	3.7%	(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))
	4.0%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) x)))
▶	4.4%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) x)))
	1.8%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ (+ (pow x -2) 1) (pow x -1)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)))
	6.9%	(acos.f64 #s(approx (- 1 x) (.f64 (.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)))
	5.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
✓	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
✓	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	4.6%	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (- (/ (PI) 2) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	4.6%	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 2 361 to 1 263 computations (46.5% saved)

simplify533.0ms (7.6%)

Memory

-129.7MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
cost-diff	6	(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
cost-diff	9	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) x)))
cost-diff	2	(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	5	(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) (PI.f64))
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	0	(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
cost-diff	1	(neg.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	3	(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	661
0	120	641
1	201	617
2	486	602
3	1793	592
4	5913	571
0	8278	567

Stop Event

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

Calls

Call 1

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

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

localize408.0ms (5.8%)

Memory

-2.3MiB live, 476.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7654720174401454	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	58.36096246333249	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	9.614925389336253	(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))
accuracy	29.374470597580554	(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
accuracy	39.21274607138645	(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
accuracy	59.883017288063286	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) x)))
accuracy	0.02734375	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	0.34765625	(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy	0.7654720174401454	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.555185146059266	(fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(PI.f64)
accuracy	0.7654720174401454	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.453930314733675	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.7654720174401454	(asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.9375	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
accuracy	0.9795112793053261	(pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
accuracy	59.51157685579437	(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))

Samples

324.0ms	247×	1	valid
4.0ms	9×	0	valid

Compiler

Compiled 558 to 63 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-mult: 44.0ms (16.5% of total)

ival-neg: 32.0ms (12% of total)

adjust: 31.0ms (11.6% of total)

ival-pow: 29.0ms (10.9% of total)

ival-add: 29.0ms (10.9% of total)

ival-div: 26.0ms (9.7% of total)

ival-sub: 22.0ms (8.2% of total)

ival-asin: 20.0ms (7.5% of total)

ival-pow2: 15.0ms (5.6% of total)

ival-acos: 10.0ms (3.7% of total)

ival-cbrt: 4.0ms (1.5% of total)

ival-pi: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series21.0ms (0.3%)

Memory

-12.7MiB live, 31.8MiB allocated

Counts

28 → 49

Calls

Call 1

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

Outputs
(+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3))
-1
(- x 1)
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* 1/2 (PI)) (asin (- 1 x)))
(asin (- 1 x))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* -1 (/ (+ (* -1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))
(/ 1 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 (* x (+ 1 x))) (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(pow (asin (- x 1)) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(asin (- x 1))
(pow (asin (- 1 x)) 2)
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 (pow x 2))) x)
x
(* x (- 1 (/ 1 x)))
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(- (/ 1 (pow x 2)) 1)
(* -1 x)
(* x (- (/ 1 x) 1))
(- (/ 1 x) 1)
(* x (- (/ 1 (pow x 2)) 1))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3))
(* -1 (* x (- (/ 1 x) 1)))
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(asin (+ 1 (* -1 x)))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* -1 (/ (+ (* -1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(pow (asin (neg (+ 1 (* -1 x)))) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(asin (neg (+ 1 (* -1 x))))
(pow (asin (+ 1 (* -1 x))) 2)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

inf

((+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (neg (- 1 x)) (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (pow (/ (PI) 2) 2) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) (asin (- 1 x)) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (+ (* (* -1/4 (PI)) (PI)) (pow (asin (- 1 x)) 2)) (neg (+ (* 1/2 (PI)) (asin (- 1 x))))) (+ (* (* -1/4 (PI)) (PI)) (pow (asin (- 1 x)) 2)) (* -1/4 (PI)) (/ (+ (* (- (pow x -4) 1) x) (* (- (pow x -2) 1) 1)) (* (- (pow x -2) 1) x)) (* (- (pow x -2) 1) 1) (acos (- 1 x)) (- 1 x) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)))) (pow (asin (neg (- 1 x))) 3) (+ (* (+ (* 1/2 (PI)) (asin (- 1 x))) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (neg (- 1 x))) (- 1 x) (pow (asin (- 1 x)) 2) (/ (- (pow x -3) 1) (/ (+ (* (- (pow x -4) 1) x) (* (- (pow x -2) 1) 1)) (* (- (pow x -2) 1) x))) (* (- (pow x -2) 1) x) (cbrt (PI)) (pow (cbrt (PI)) 2))

6.0ms

-inf

((+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (neg (- 1 x)) (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (pow (/ (PI) 2) 2) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) (asin (- 1 x)) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (+ (* (* -1/4 (PI)) (PI)) (pow (asin (- 1 x)) 2)) (neg (+ (* 1/2 (PI)) (asin (- 1 x))))) (+ (* (* -1/4 (PI)) (PI)) (pow (asin (- 1 x)) 2)) (* -1/4 (PI)) (/ (+ (* (- (pow x -4) 1) x) (* (- (pow x -2) 1) 1)) (* (- (pow x -2) 1) x)) (* (- (pow x -2) 1) 1) (acos (- 1 x)) (- 1 x) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)))) (pow (asin (neg (- 1 x))) 3) (+ (* (+ (* 1/2 (PI)) (asin (- 1 x))) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (neg (- 1 x))) (- 1 x) (pow (asin (- 1 x)) 2) (/ (- (pow x -3) 1) (/ (+ (* (- (pow x -4) 1) x) (* (- (pow x -2) 1) 1)) (* (- (pow x -2) 1) x))) (* (- (pow x -2) 1) x) (cbrt (PI)) (pow (cbrt (PI)) 2))

5.0ms

((+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (neg (- 1 x)) (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (pow (/ (PI) 2) 2) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) (PI) (asin (- 1 x)) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (+ (* (* -1/4 (PI)) (PI)) (pow (asin (- 1 x)) 2)) (neg (+ (* 1/2 (PI)) (asin (- 1 x))))) (+ (* (* -1/4 (PI)) (PI)) (pow (asin (- 1 x)) 2)) (* -1/4 (PI)) (/ (+ (* (- (pow x -4) 1) x) (* (- (pow x -2) 1) 1)) (* (- (pow x -2) 1) x)) (* (- (pow x -2) 1) 1) (acos (- 1 x)) (- 1 x) (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)))) (pow (asin (neg (- 1 x))) 3) (+ (* (+ (* 1/2 (PI)) (asin (- 1 x))) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (neg (- 1 x))) (- 1 x) (pow (asin (- 1 x)) 2) (/ (- (pow x -3) 1) (/ (+ (* (- (pow x -4) 1) x) (* (- (pow x -2) 1) 1)) (* (- (pow x -2) 1) x))) (* (- (pow x -2) 1) x) (cbrt (PI)) (pow (cbrt (PI)) 2))

simplify107.0ms (1.5%)

Memory

-10.3MiB live, 143.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	504
1	204	484
2	593	438
3	1915	426
4	5357	426
0	8184	406

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
(+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3))
-1
(- x 1)
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (- x 1)) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
(- (* 1/2 (PI)) (asin (- 1 x)))
(asin (- 1 x))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(* -1 (/ (+ (* -1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))
(/ 1 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 (* x (+ 1 x))) (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
(acos (- 1 x))
1
(+ 1 (* -1 x))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(pow (asin (- x 1)) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))
(asin (- x 1))
(pow (asin (- 1 x)) 2)
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 (pow x 2))) x)
x
(* x (- 1 (/ 1 x)))
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(- (/ 1 (pow x 2)) 1)
(* -1 x)
(* x (- (/ 1 x) 1))
(- (/ 1 x) 1)
(* x (- (/ 1 (pow x 2)) 1))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3))
(* -1 (* x (- (/ 1 x) 1)))
(/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (+ 1 (* -1 x)))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(asin (+ 1 (* -1 x)))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (+ 1 (* -1 x))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(* -1 (/ (+ (* -1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))
(acos (+ 1 (* -1 x)))
(* -1 (* x (- 1 (/ 1 x))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(pow (asin (neg (+ 1 (* -1 x)))) 3)
(+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
(asin (neg (+ 1 (* -1 x))))
(pow (asin (+ 1 (* -1 x))) 2)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))

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

rewrite213.0ms (3%)

Memory

36.1MiB live, 256.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	422
0	120	332
1	462	330
2	3237	329
0	8212	327

Stop Event

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

Counts

28 → 663

Calls

Call 1

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

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

eval357.0ms (5.1%)

Memory: -12.7MiB live, 406.5MiB allocated
Compiler: Compiled 83 866 to 5 689 computations (93.2% saved)

prune85.0ms (1.2%)

Memory

43.5MiB live, 91.2MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1 510	18	1 528
Fresh	13	15	28
Picked	5	0	5
Done	0	4	4
Total	1 528	37	1 565

Accuracy

10.5%

Counts

1 565 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.6%	(fma.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
	10.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
	4.6%	(/.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
	10.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
	10.1%	(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	10.1%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	10.2%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	2.7%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	10.2%	(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	4.6%	(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	4.6%	(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	4.6%	(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	10.1%	(-.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	10.1%	(-.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	10.1%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
	6.4%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	5.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	2.7%	(-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	3.7%	(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))
	4.0%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) x)))
	4.3%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (* (- (pow x -2) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)))) x)))
	1.8%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ (+ (pow x -2) 1) (pow x -1)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)))
	6.9%	(acos.f64 #s(approx (- 1 x) (.f64 (.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)))
	5.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
✓	4.2%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
✓	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	4.6%	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (- (/ (PI) 2) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.2%	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.1%	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.2%	#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.4%	#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 3 744 to 1 045 computations (72.1% saved)

regimes76.0ms (1.1%)

Memory

-51.5MiB live, 28.0MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ (+ (pow x -2) 1) (pow x -1)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (- (/ (PI) 2) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (* (- (pow x -2) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)))) x)))
(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) x)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))

Outputs

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

Calls

3 calls:

43.0ms	x
14.0ms	(-.f64 #s(literal 1 binary64) x)
14.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes35.0ms (0.5%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ (+ (pow x -2) 1) (pow x -1)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (- (/ (PI) 2) (acos (- 1 x))) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (* (- (pow x -2) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)))) x)))
(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) x)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 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)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))

Outputs

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

Calls

3 calls:

13.0ms	x
10.0ms	(-.f64 #s(literal 1 binary64) x)
9.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes29.0ms (0.4%)

Memory

-38.2MiB live, 9.6MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ (+ (pow x -2) 1) (pow x -1)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(acos.f64 #s(approx (- 1 x) (.f64 (.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))

Outputs

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

Calls

3 calls:

19.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ (+ (pow x -2) 1) (pow x -1)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.1%	1	`x`
10.1%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.1%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.1%	2	`(-.f64 #s(literal 1 binary64) x)`
9.1%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.1%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch20.0ms (0.3%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.689655713674616e-17	5.092222523488253e-11

Samples

13.0ms

144×

valid

Compiler

Compiled 106 to 116 computations (-9.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-acos: 5.0ms (57.8% of total)

ival-sub: 2.0ms (23.1% of total)

adjust: 2.0ms (23.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify54.0ms (0.8%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	60	169
1	92	169
2	151	169
3	301	168
4	644	160
5	1300	159
6	2385	159
7	4374	159

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) #s(approx (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (pow (asin (- 1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

soundness742.0ms (10.5%)

Memory

-35.3MiB live, 107.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	303
1	113	298
2	312	298
3	664	298
4	1384	282
5	2628	280
6	3876	280
7	6245	280
8	7794	280
0	8061	266
0	67	422
0	120	332
1	462	330
2	3237	329
0	8212	327
0	72	436
1	170	423
2	484	419
3	1428	419
4	4126	403
0	8263	381
0	49	350
0	88	361
1	370	205
2	2928	205
0	8171	197
0	4	7
0	6	7
1	27	7
2	148	7
3	1147	7
0	9155	7
0	14	30
1	27	29
2	40	29
3	76	29
4	119	29
5	177	29
6	190	29
0	190	29
0	30	204
0	53	185
1	212	151
2	1542	151
0	8436	147

Stop Event

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

Compiler

Compiled 443 to 197 computations (55.5% saved)

preprocess49.0ms (0.7%)

Memory: 18.0MiB live, 64.3MiB allocated
Compiler: Compiled 358 to 146 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (21.8%)

explain94.0ms (1.3%)

preprocess11.0ms (0.2%)

eval0.0ms (0%)

prune8.0ms (0.1%)

simplify3.0ms (0%)

localize31.0ms (0.4%)

series1.0ms (0%)

simplify9.0ms (0.1%)

rewrite207.0ms (2.9%)

eval60.0ms (0.9%)

prune11.0ms (0.2%)

simplify178.0ms (2.5%)

localize272.0ms (3.9%)

series37.0ms (0.5%)

simplify100.0ms (1.4%)

rewrite231.0ms (3.3%)

eval272.0ms (3.9%)

prune103.0ms (1.5%)

simplify175.0ms (2.5%)

localize399.0ms (5.7%)

series26.0ms (0.4%)

simplify100.0ms (1.4%)

rewrite243.0ms (3.5%)

eval128.0ms (1.8%)

prune53.0ms (0.8%)

simplify533.0ms (7.6%)

localize408.0ms (5.8%)

series21.0ms (0.3%)

simplify107.0ms (1.5%)

rewrite213.0ms (3%)

eval357.0ms (5.1%)

prune85.0ms (1.2%)

regimes76.0ms (1.1%)

regimes35.0ms (0.5%)

regimes29.0ms (0.4%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch20.0ms (0.3%)

simplify54.0ms (0.8%)

soundness742.0ms (10.5%)

preprocess49.0ms (0.7%)

end0.0ms (0%)

Profiling