Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.6s (22.2%)

Memory

29.3MiB live, 1 659.0MiB allocated

Samples

1.3s	7 949×	1	valid
16.0ms	307×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 839.0ms

ival-acos: 386.0ms (46% of total)

ival-sub: 211.0ms (25.2% of total)

adjust: 164.0ms (19.6% of total)

ival-<=: 48.0ms (5.7% of total)

exact: 14.0ms (1.7% of total)

ival-and: 13.0ms (1.6% of total)

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

Bogosity

explain94.0ms (1.3%)

Memory

-11.3MiB live, 154.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(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	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	496×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-acos: 21.0ms (60% of total)

adjust: 7.0ms (20% of total)

ival-sub: 6.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess31.0ms (0.4%)

Memory

-27.5MiB live, 18.7MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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

3.9MiB live, 3.9MiB 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

localize53.0ms (0.7%)

Memory

1.8MiB live, 55.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	59.883092786756535	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

47.0ms	248×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-acos: 10.0ms (57.8% of total)

ival-sub: 3.0ms (17.3% of total)

adjust: 3.0ms (17.3% 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

2.0MiB live, 2.0MiB 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))

simplify5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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))

rewrite188.0ms (2.6%)

Memory

-33.0MiB live, 203.9MiB 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)

eval26.0ms (0.4%)

Memory: 31.5MiB live, 31.5MiB allocated
Compiler: Compiled 6 321 to 783 computations (87.6% saved)

prune50.0ms (0.7%)

Memory

-15.2MiB live, 31.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	191	15	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	16	207

Accuracy

9.2%

Counts

207 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(/.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))))))))
▶	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 (/.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))))))
	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) (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 #s(literal 2 binary64) (-.f64 (.f64 (PI.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 #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))))))) (.f64 #s(literal 2 binary64) (*.f64 #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))))))
	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 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)))))
	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))
▶	7.0%	(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 1 700 to 452 computations (73.4% saved)

simplify194.0ms (2.7%)

Memory

26.9MiB live, 121.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	1	(-.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)))))
cost-diff	2	(.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))))))
cost-diff	3	(+.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))))
cost-diff	18	(/.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)))))))
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	1	(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.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)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
cost-diff	0	(/.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))))
cost-diff	1	(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
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	(-.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	471
0	71	471
1	137	457
2	376	435
3	1697	433
4	7765	433
0	9306	415

Stop Event

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

Calls

Call 1

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

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

localize373.0ms (5.1%)

Memory

-6.6MiB live, 186.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.94921875	(.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))))))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	58.027399290437806	(-.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)))))
accuracy	59.883092786756535	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.9847450683790943	(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	1.1486716261168617	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.90855331955235	(-.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	0.0390625	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	0.3359375	(/.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))))
accuracy	1.1486716261168617	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.095512563960995	(-.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)))
accuracy	1.0974199043715198	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	59.883092786756535	(acos.f64 #s(approx (- 1 x) #s(literal 1 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	0.1640625	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
accuracy	59.883092786756535	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))

Samples

249.0ms	240×	1	valid
4.0ms	16×	0	valid

Compiler

Compiled 455 to 36 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

adjust: 46.0ms (24.8% of total)

ival-acos: 46.0ms (24.8% of total)

ival-pow: 16.0ms (8.6% of total)

ival-mult: 16.0ms (8.6% of total)

ival-div: 15.0ms (8.1% of total)

ival-pow2: 14.0ms (7.5% of total)

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

ival-asin: 9.0ms (4.8% of total)

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

ival-pi: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.9%)

Memory

-26.3MiB live, 19.1MiB allocated

Counts

22 → 37

Calls

Call 1

Inputs
(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))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 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)) (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)) (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 (-.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 (-.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 (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 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 (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)))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.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))))))

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

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	x	@	inf	((acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (acos (- 1 x)) (- 1 x) (+ (asin (- 1 x)) (/ (PI) 2)) (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (pow (/ (PI) 2) 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) (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (asin (- 1 x)) (pow (asin (- 1 x)) 2) (pow (asin (- 1 x)) 3) (acos (- 1 x)) (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))))
12.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (acos (- 1 x)) (- 1 x) (+ (asin (- 1 x)) (/ (PI) 2)) (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (pow (/ (PI) 2) 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) (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (asin (- 1 x)) (pow (asin (- 1 x)) 2) (pow (asin (- 1 x)) 3) (acos (- 1 x)) (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))))
8.0ms	x	@	0	((acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (acos (- 1 x)) (- 1 x) (+ (asin (- 1 x)) (/ (PI) 2)) (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (pow (/ (PI) 2) 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) (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (asin (- 1 x)) (pow (asin (- 1 x)) 2) (pow (asin (- 1 x)) 3) (acos (- 1 x)) (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))))

Time

Variable

Point

Expression

46.0ms

inf

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

12.0ms

-inf

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

8.0ms

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

simplify194.0ms (2.7%)

Memory

35.4MiB live, 124.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	567
1	205	539
2	761	503
3	2048	491
4	7217	491
0	8136	457

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

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

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

rewrite382.0ms (5.2%)

Memory

-33.2MiB live, 402.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	321
0	71	287
1	314	211
2	2556	211
0	10911	203

Stop Event

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

Counts

22 → 1 056

Calls

Call 1

Inputs
(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))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 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)) (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)) (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 (-.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 (-.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 (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 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 (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)))))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.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))))))

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

eval282.0ms (3.9%)

Memory: 31.4MiB live, 530.8MiB allocated
Compiler: Compiled 87 206 to 3 894 computations (95.5% saved)

prune69.0ms (0.9%)

Memory

23.1MiB live, 172.5MiB allocated

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	1 110	36	1 146
Fresh	7	3	10
Picked	4	1	5
Done	0	1	1
Total	1 121	41	1 162

Accuracy

10.3%

Counts

1 162 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(/.f64 (fma.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))) (PI.f64) (.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)))))))
▶	10.0%	(/.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))))
	4.6%	(/.f64 (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 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.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)))) (.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)))))))
▶	4.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (.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))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (.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)))))))
▶	4.6%	(/.f64 (fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))))
	4.6%	(/.f64 (fma.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (fma.f64 (.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)))) (PI.f64) (.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)))))))
	10.0%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 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)))))))
	4.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.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)))) #s(literal 2 binary64))) (PI.f64)) (.f64 (+.f64 (pow.f64 (acos.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 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.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 2 binary64)) (.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))))) (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (pow.f64 (acos.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.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))))) (.f64 (+.f64 (pow.f64 (acos.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 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #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)))))))
	10.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.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)))) #s(literal 3 binary64))) (PI.f64)) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (.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)))) (-.f64 (.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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (.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)))) (-.f64 (.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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #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)))))))
	4.6%	(/.f64 (-.f64 (fma.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (.f64 (.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)))) (PI.f64))) (.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.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 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))))
	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 (PI.f64) (pow.f64 (/.f64 (sqrt.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)) (exp.f64 (*.f64 (log.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))))
	10.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (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)) (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))))
	4.6%	(/.f64 (-.f64 (*.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))) (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)) (.f64 (cbrt.f64 (PI.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))))) (.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)))))))
	4.6%	(/.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.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))))
	10.0%	(/.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 (.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 (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)))))))
	10.0%	(/.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 (.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 (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)))))))
	10.0%	(/.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 (.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.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)))))
	4.6%	(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (.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 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.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))))
	2.8%	(+.f64 (cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (sinh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.4%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	3.8%	(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)))
	4.1%	(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)))
	4.5%	(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)))
	6.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	6.4%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))

Compiler

Compiled 4 140 to 1 624 computations (60.8% saved)

simplify140.0ms (1.9%)

Memory

23.0MiB live, 152.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	1	(+.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)))))
cost-diff	2	(+.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))))
cost-diff	4	(fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))
cost-diff	21	(/.f64 (fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))))
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	2	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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)))
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	68	722
0	125	711
1	239	691
2	701	649
3	3254	649
0	8205	644

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

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

localize475.0ms (6.5%)

Memory

-16.7MiB live, 526.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	56.190235733782956	(fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))
accuracy	59.883092786756535	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.93359375	(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	58.13988586546155	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.883092786756535	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.3359375	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	1.1486716261168617	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.1486716261168617	(asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	59.21564258376556	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0.0	(neg.f64 x)
accuracy	59.883092786756535	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.553942135274255	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.9847450683790943	(pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
accuracy	1.1486716261168617	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.1486716261168617	(asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	59.194273150161195	(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

391.0ms	244×	1	valid
8.0ms	12×	0	valid

Compiler

Compiled 708 to 63 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 341.0ms

adjust: 127.0ms (37.3% of total)

ival-mult: 54.0ms (15.8% of total)

ival-div: 42.0ms (12.3% of total)

ival-add: 27.0ms (7.9% of total)

ival-pow: 26.0ms (7.6% of total)

ival-asin: 20.0ms (5.9% of total)

ival-acos: 15.0ms (4.4% of total)

ival-pow2: 10.0ms (2.9% of total)

ival-sub: 9.0ms (2.6% of total)

ival-sqrt: 4.0ms (1.2% of total)

ival-pi: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series78.0ms (1.1%)

Memory

-39.1MiB live, 53.6MiB allocated

Counts

24 → 35

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

Calls

3 calls:

Time

Variable

Point

Expression

43.0ms

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

23.0ms

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

10.0ms

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

simplify174.0ms (2.4%)

Memory

26.2MiB live, 171.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	821
1	332	771
2	1203	651
3	2749	639
4	7599	639
0	8053	581

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

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

rewrite309.0ms (4.2%)

Memory

-5.0MiB live, 239.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	440
0	125	461
1	482	342
2	4419	341
0	8181	338

Stop Event

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

Counts

24 → 771

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) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(PI.f64)
#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))))
(fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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 (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 (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)))))
(asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(sqrt.f64 (PI.f64))
(pow.f64 (/.f64 (PI.f64) #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 (neg.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 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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))))
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(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) (exp.f64 (log.f64 #s(literal 2 binary64)))))
(*.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 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (PI.f64) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)) #s(literal 4 binary64))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal -4 binary64))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 4 binary64))
(/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64))
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64) (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (exp.f64 (log.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))))

eval354.0ms (4.9%)

Memory: 31.2MiB live, 440.2MiB allocated
Compiler: Compiled 110 309 to 6 310 computations (94.3% saved)

prune91.0ms (1.3%)

Memory

-41.2MiB live, 223.0MiB allocated

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	1 789	23	1 812
Fresh	18	16	34
Picked	4	1	5
Done	0	2	2
Total	1 811	42	1 853

Accuracy

10.4%

Counts

1 853 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.8%	(fma.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)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	2.7%	(fma.f64 (/.f64 (neg.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 (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)))))
	10.0%	(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 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))) (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 (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 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	10.0%	(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
▶	4.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (.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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))))
	4.6%	(/.f64 (fma.f64 (.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))))
	9.9%	(/.f64 (fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #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)))))))
	4.6%	(/.f64 (fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #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)))))))
	4.6%	(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (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))))
	10.0%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 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)))))))
	10.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.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)))) #s(literal 3 binary64))) (PI.f64)) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (.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)))) (-.f64 (.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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (.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)))) (-.f64 (.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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #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)))))))
	10.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (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)) (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))))
	4.6%	(/.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.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 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.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))))
▶	2.8%	(+.f64 (cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (sinh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.4%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	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)))
	5.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
▶	4.5%	(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)))
	6.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.6%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	9.9%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	4.6%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.0%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.0%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	4.6%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.0%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	6.4%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	4.6%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	6.4%	#s(approx (/ (+ (* (pow (/ (PI) 2) 2) (/ (PI) 2)) (pow (asin (neg (- 1 x))) 3)) (+ (* (asin (- 1 x)) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (/ (PI) 2) 2))) (/.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)))))
▶	10.0%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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)))))

Compiler

Compiled 4 593 to 1 966 computations (57.2% saved)

simplify135.0ms (1.9%)

Memory

21.3MiB live, 155.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
cost-diff	1	(/.f64 (neg.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))))
cost-diff	19	(fma.f64 (/.f64 (neg.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 (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	0	(acos.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	9	(+.f64 (cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (sinh.f64 (log.f64 (acos.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 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	2	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #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	(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
cost-diff	0	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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))))
cost-diff	0	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	457
0	97	444
1	160	444
2	350	444
3	1017	433
4	4876	424
0	8182	420

Stop Event

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

Calls

Call 1

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

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

localize375.0ms (5.1%)

Memory

-17.9MiB live, 315.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.1486716261168617	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.095512563960995	(-.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)))
accuracy	58.13988586546155	(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	58.20586212656608	(fma.f64 (/.f64 (neg.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 (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	4.842833122824547	(sinh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	4.850945683750526	(cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	59.83904144829324	(+.f64 (cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (sinh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy	59.883092786756535	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.3359375	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	1.0634884099375985	(acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.1486716261168617	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.21564258376556	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #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	0.1640625	(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
accuracy	1.0703579955527969	#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
accuracy	59.883092786756535	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
accuracy	0.3359375	(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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))))
accuracy	1.1486716261168617	(asin.f64 (-.f64 x #s(literal 1 binary64)))
accuracy	1.1486716261168617	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	56.113105247405436	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))

Samples

324.0ms	249×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 411 to 49 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-div: 36.0ms (13% of total)

ival-asin: 32.0ms (11.5% of total)

ival-sub: 30.0ms (10.8% of total)

ival-mult: 29.0ms (10.4% of total)

adjust: 26.0ms (9.4% of total)

ival-sinh: 26.0ms (9.4% of total)

ival-acos: 25.0ms (9% of total)

ival-pow2: 24.0ms (8.6% of total)

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

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

ival-cosh: 13.0ms (4.7% of total)

ival-neg: 4.0ms (1.4% 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)

series115.0ms (1.6%)

Memory

22.8MiB live, 118.1MiB allocated

Counts

25 → 45

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

49.0ms

((/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (+ (* (asin (- 1 x)) (asin (- x 1))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (- x 1))) (* (* (PI) (PI)) 1/4)) (asin (- 1 x)) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (PI) 2) (PI) (+ (cosh (log (acos (- 1 x)))) (sinh (log (acos (- 1 x))))) (cosh (log (acos (- 1 x)))) (log (acos (- 1 x))) (acos (- 1 x)) (+ (* (/ (neg (pow (asin (- 1 x)) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2))) (- (asin (- 1 x)) (/ (PI) 2))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (neg (pow (asin (- 1 x)) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2))) (neg (pow (asin (- 1 x)) 2)) (pow (asin (- 1 x)) 2) (asin (- x 1)) (acos (neg (- 1 x))) (sinh (log (acos (- 1 x)))) (- (asin (- 1 x)) (/ (PI) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2)))

41.0ms

-inf

((/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (+ (* (asin (- 1 x)) (asin (- x 1))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (- x 1))) (* (* (PI) (PI)) 1/4)) (asin (- 1 x)) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (PI) 2) (PI) (+ (cosh (log (acos (- 1 x)))) (sinh (log (acos (- 1 x))))) (cosh (log (acos (- 1 x)))) (log (acos (- 1 x))) (acos (- 1 x)) (+ (* (/ (neg (pow (asin (- 1 x)) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2))) (- (asin (- 1 x)) (/ (PI) 2))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (neg (pow (asin (- 1 x)) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2))) (neg (pow (asin (- 1 x)) 2)) (pow (asin (- 1 x)) 2) (asin (- x 1)) (acos (neg (- 1 x))) (sinh (log (acos (- 1 x)))) (- (asin (- 1 x)) (/ (PI) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2)))

24.0ms

inf

((/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (+ (* (asin (- 1 x)) (asin (- x 1))) (* (* (PI) (PI)) 1/4)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (- x 1))) (* (* (PI) (PI)) 1/4)) (asin (- 1 x)) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/ (PI) 2) (PI) (+ (cosh (log (acos (- 1 x)))) (sinh (log (acos (- 1 x))))) (cosh (log (acos (- 1 x)))) (log (acos (- 1 x))) (acos (- 1 x)) (+ (* (/ (neg (pow (asin (- 1 x)) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2))) (- (asin (- 1 x)) (/ (PI) 2))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (neg (pow (asin (- 1 x)) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2))) (neg (pow (asin (- 1 x)) 2)) (pow (asin (- 1 x)) 2) (asin (- x 1)) (acos (neg (- 1 x))) (sinh (log (acos (- 1 x)))) (- (asin (- 1 x)) (/ (PI) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2)))

simplify105.0ms (1.4%)

Memory

17.8MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	557
1	213	536
2	626	534
3	1408	526
4	3706	502
5	7030	502
0	8441	476

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

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

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

rewrite252.0ms (3.5%)

Memory

-12.1MiB live, 222.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	335
0	97	338
1	350	229
2	2512	228
0	10444	224

Stop Event

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

Counts

25 → 840

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (neg.f64 (PI.f64)) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 (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)))))
(/.f64 (-.f64 (.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 2 binary64)) (pow.f64 (/.f64 (.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 2 binary64))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 3 binary64)) (pow.f64 (/.f64 (.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 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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 2 binary64)) (-.f64 (pow.f64 (/.f64 (.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 2 binary64)) (.f64 (/.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))) (/.f64 (.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))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))) (.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(neg.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
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(/.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))) (neg.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (neg.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))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)))))
(neg.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(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)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(fma.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 -4 binary64)))
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (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 4 binary64)) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (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)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))

eval285.0ms (3.9%)

Memory: 1.0MiB live, 285.2MiB allocated
Compiler: Compiled 149 249 to 7 291 computations (95.1% saved)

prune161.0ms (2.2%)

Memory

-28.1MiB live, 171.3MiB allocated

Pruning

68 alts after pruning (62 fresh and 6 done)

	Pruned	Kept	Total
New	2 187	39	2 226
Fresh	11	23	34
Picked	2	3	5
Done	0	3	3
Total	2 200	68	2 268

Accuracy

10.5%

Counts

2 268 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.8%	(fma.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)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	2.8%	(fma.f64 (/.f64 (.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.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 6 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (/.f64 (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)))))
	2.8%	(fma.f64 (/.f64 (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.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 4 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	2.7%	(fma.f64 (/.f64 (neg.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 (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 (/.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)))))
	9.1%	(fma.f64 (/.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 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)))))
	2.8%	(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 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 (+.f64 (pow.f64 (*.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 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)))))
	2.8%	(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 6 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (/.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))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 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)))))
	2.8%	(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (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 4 binary64)))) (*.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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 (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)))))
	2.8%	(fma.f64 (/.f64 (neg.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 (-.f64 (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (PI.f64)))) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 4 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)))))
	2.7%	(fma.f64 (/.f64 (neg.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 (/.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 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (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 (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)))))
	2.7%	(fma.f64 (/.f64 (neg.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 (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 (PI.f64) #s(literal 2 binary64)))))
	2.7%	(fma.f64 (/.f64 (neg.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 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	2.7%	(fma.f64 (/.f64 (neg.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (-.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))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (-.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 (.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) (.f64 (-.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))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	2.7%	(fma.f64 (/.f64 (neg.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)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 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)))))
	2.7%	(fma.f64 (neg.f64 (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 (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 (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)))))
	10.0%	(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 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))) (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 (fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	5.2%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.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)))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	10.0%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (sqrt.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 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (acos (neg (- 1 x))) (acos.f64 (-.f64 x #s(literal 1 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))))
	4.6%	(/.f64 (fma.f64 (.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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.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)))))))
	9.9%	(/.f64 (fma.f64 (.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #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)))))))
	10.0%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 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)))))))
	10.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.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)))) #s(literal 3 binary64))) (PI.f64)) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (.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)))) (-.f64 (.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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (.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)))) (-.f64 (.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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #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)))))))
	10.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (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)) (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))))
	2.8%	(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sinh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #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))) (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 (/.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 (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	6.4%	(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	9.0%	(-.f64 (/.f64 (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 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (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)))))
	9.0%	(-.f64 (/.f64 (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 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #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))))
✓	2.8%	(+.f64 (cosh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (sinh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	2.6%	(+.f64 #s(approx (cosh (log (acos (- 1 x)))) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sinh.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.4%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	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)))
	5.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
✓	4.5%	(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)))
	6.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.9%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	4.6%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.0%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.0%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.0%	#s(approx (/ (- (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))) (* 2 (- (pow (/ (PI) 2) 3) (pow (acos (- 1 x)) 3)))) (* 2 (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
	10.0%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.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)))))
	9.0%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (fma.f64 (/.f64 (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (.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))))))
	4.6%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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))))))
	10.0%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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)))))
	4.6%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
	4.6%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
	4.6%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.6%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.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)))))
	4.6%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
	10.0%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.0%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.3%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (acos.f64 (neg.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))))))))
	8.3%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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 (-.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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 (-.f64 #s(literal 1 binary64) x))))))))))
✓	10.0%	#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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)))))
	9.0%	#s(approx (+ (* (/ (neg (pow (asin (- 1 x)) 2)) (- (pow (asin (- 1 x)) 2) (pow (/ (PI) 2) 2))) (- (asin (- 1 x)) (/ (PI) 2))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (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)))))))

Compiler

Compiled 10 544 to 2 329 computations (77.9% saved)

regimes73.0ms (1%)

Memory

40.9MiB live, 40.9MiB allocated

Counts

114 → 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))
(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)))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.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 (/.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) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (neg (- 1 x)))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.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)))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (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 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (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)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (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 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (acos (neg (- 1 x))) (acos.f64 (-.f64 x #s(literal 1 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))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (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 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(/.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 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.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)))) #s(literal 2 binary64))) (PI.f64)) (.f64 (+.f64 (pow.f64 (acos.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 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.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 2 binary64)) (.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))))) (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (pow.f64 (acos.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.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))))) (.f64 (+.f64 (pow.f64 (acos.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 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #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 (-.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.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)))) (PI.f64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (.f64 (.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)))) (PI.f64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 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)))))))

Outputs

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

Calls

3 calls:

25.0ms	x
20.0ms	(-.f64 #s(literal 1 binary64) x)
19.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.1%)

Memory

-40.9MiB live, 6.6MiB allocated

Counts

11 → 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))
(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)))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.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 (/.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) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

6 → 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))
(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)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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	`x`
6.9%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) 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	`x`
3.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999998	1.0

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.1073424255447017e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify51.0ms (0.7%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	100
1	67	100
2	124	100
3	282	100
4	619	100
5	1329	100
6	2801	100
7	6813	100

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4503599627370495/4503599627370496 binary64)) (exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 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
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (asin (neg (- 1 x))) (asin (- 1 x)))) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))) (.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)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4503599627370495/4503599627370496 binary64)) (exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 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)))

soundness390.0ms (5.4%)

Memory

4.9MiB live, 4.9MiB allocated

Iterations

Useful iterations: 0 (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
0	4	7
0	6	7
1	27	7
2	148	7
3	1147	7
0	9155	7
0	38	321
0	71	287
1	314	211
2	2556	211
0	10911	203
0	117	821
1	332	771
2	1203	651
3	2749	639
4	7599	639
0	8053	581

Stop Event

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

Compiler

Compiled 239 to 113 computations (52.7% saved)

preprocess71.0ms (1%)

Memory: -22.6MiB live, 23.8MiB allocated
Compiler: Compiled 222 to 104 computations (53.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (22.2%)

explain94.0ms (1.3%)

preprocess31.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize53.0ms (0.7%)

series1.0ms (0%)

simplify5.0ms (0.1%)

rewrite188.0ms (2.6%)

eval26.0ms (0.4%)

prune50.0ms (0.7%)

simplify194.0ms (2.7%)

localize373.0ms (5.1%)

series67.0ms (0.9%)

simplify194.0ms (2.7%)

rewrite382.0ms (5.2%)

eval282.0ms (3.9%)

prune69.0ms (0.9%)

simplify140.0ms (1.9%)

localize475.0ms (6.5%)

series78.0ms (1.1%)

simplify174.0ms (2.4%)

rewrite309.0ms (4.2%)

eval354.0ms (4.9%)

prune91.0ms (1.3%)

simplify135.0ms (1.9%)

localize375.0ms (5.1%)

series115.0ms (1.6%)

simplify105.0ms (1.4%)

rewrite252.0ms (3.5%)

eval285.0ms (3.9%)

prune161.0ms (2.2%)

regimes73.0ms (1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify51.0ms (0.7%)

soundness390.0ms (5.4%)

preprocess71.0ms (1%)

end0.0ms (0%)

Profiling