Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.7s (20.7%)

Memory

15.0MiB live, 1 592.2MiB allocated

Samples

1.3s	7 957×	1	valid
44.0ms	299×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 986.0ms

ival-acos: 440.0ms (44.6% of total)

ival-sub: 205.0ms (20.8% of total)

ival-<=: 174.0ms (17.6% of total)

adjust: 139.0ms (14.1% of total)

ival-and: 13.0ms (1.3% of total)

exact: 13.0ms (1.3% of total)

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

Bogosity

explain100.0ms (1.2%)

Memory

-1.9MiB live, 144.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	488×	1	valid
1.0ms	24×	0	valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-acos: 19.0ms (51.8% of total)

adjust: 10.0ms (27.2% of total)

ival-sub: 6.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess27.0ms (0.3%)

Memory

-28.7MiB live, 16.7MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0%)

Memory

5.0MiB live, 5.0MiB 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

localize47.0ms (0.6%)

Memory

30.1MiB live, 72.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

25.0ms	244×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-acos: 10.0ms (61.8% of total)

ival-sub: 3.0ms (18.5% of total)

adjust: 3.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

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))

simplify6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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))

rewrite199.0ms (2.4%)

Memory

-45.0MiB live, 213.5MiB 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)

eval41.0ms (0.5%)

Memory: -0.8MiB live, 43.9MiB allocated
Compiler: Compiled 6 321 to 783 computations (87.6% saved)

prune35.0ms (0.4%)

Memory

-1.6MiB live, 43.9MiB 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

9.8%

Counts

207 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(/.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))))
▶	7.2%	(/.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))))
	7.2%	(/.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)))))
	7.2%	(/.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))))))
	7.2%	(/.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))))))
▶	7.2%	(/.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)))))))
	7.2%	(/.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)))))
	7.2%	(/.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))))))
	7.2%	(/.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))))))
▶	3.5%	(/.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))))))
	7.2%	(-.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)))))
	7.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	7.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	7.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	6.9%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 1 492 to 452 computations (69.7% saved)

simplify378.0ms (4.7%)

Memory

-9.0MiB live, 183.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	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	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	20	(/.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	2	(+.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)))
cost-diff	3	(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)))))
cost-diff	5	(*.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	9	(/.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))))))
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	42	522
0	79	421
1	173	407
2	412	385
3	1818	385
0	8290	370

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

localize417.0ms (5.1%)

Memory

20.0MiB live, 261.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.9296875	(.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	57.34466633656838	(-.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	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.44443139652663044	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
accuracy	0.49609375	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	21.111900030647032	(/.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))))))
accuracy	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.046875	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	0.375	(/.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	1.17272699751506	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.328812434052224	(-.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	1.5458780748639795	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	59.41035004275258	(acos.f64 #s(approx (- 1 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	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy	0.37890625	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
accuracy	59.41035004275258	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))

Samples

321.0ms	225×	1	valid
33.0ms	31×	2	valid

Compiler

Compiled 506 to 40 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-pow: 104.0ms (37.6% of total)

ival-mult: 42.0ms (15.2% of total)

ival-div: 33.0ms (11.9% of total)

adjust: 27.0ms (9.8% of total)

ival-acos: 18.0ms (6.5% of total)

ival-sub: 16.0ms (5.8% of total)

ival-pow2: 14.0ms (5.1% of total)

ival-add: 10.0ms (3.6% of total)

ival-asin: 9.0ms (3.3% of total)

ival-pi: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory

-25.5MiB live, 23.6MiB allocated

Counts

25 → 36

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 (-.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 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(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 (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)))
(/.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 (.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 (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 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #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))
(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 (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))
0
(pow (acos (- 1 x)) 2)
(pow (acos (- 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))
(- (* (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)))
(asin (- 1 x))
(pow (asin (- 1 x)) 2)
(* (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))
(pow (acos (+ 1 (* -1 x))) 2)
(pow (acos (+ 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))
(- (* (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)))
(asin (+ 1 (* -1 x)))
(pow (asin (+ 1 (* -1 x))) 2)
(* (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
31.0ms	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) (PI)) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (/ (- (PI) (PI)) 2) (/ (- (PI) (PI)) 2)) (- (pow (acos (- 1 x)) 2) (* (/ (- (PI) (PI)) 2) (acos (- 1 x)))))) (* (/ (- (PI) (PI)) 2) (acos (- 1 x))) (+ (* (/ (- (PI) (PI)) 2) (/ (- (PI) (PI)) 2)) (- (pow (acos (- 1 x)) 2) (* (/ (- (PI) (PI)) 2) (acos (- 1 x))))) (+ (pow (/ (- (PI) (PI)) 2) 3) (pow (acos (- 1 x)) 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)))) (- (* (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)))) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))) (asin (- 1 x)) (pow (asin (- 1 x)) 2) (acos (- 1 x)) (pow (acos (- 1 x)) 2) (pow (acos (- 1 x)) 3) (pow (/ (PI) 2) 3) (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))))
7.0ms	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) (PI)) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (/ (- (PI) (PI)) 2) (/ (- (PI) (PI)) 2)) (- (pow (acos (- 1 x)) 2) (* (/ (- (PI) (PI)) 2) (acos (- 1 x)))))) (* (/ (- (PI) (PI)) 2) (acos (- 1 x))) (+ (* (/ (- (PI) (PI)) 2) (/ (- (PI) (PI)) 2)) (- (pow (acos (- 1 x)) 2) (* (/ (- (PI) (PI)) 2) (acos (- 1 x))))) (+ (pow (/ (- (PI) (PI)) 2) 3) (pow (acos (- 1 x)) 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)))) (- (* (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)))) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))) (asin (- 1 x)) (pow (asin (- 1 x)) 2) (acos (- 1 x)) (pow (acos (- 1 x)) 2) (pow (acos (- 1 x)) 3) (pow (/ (PI) 2) 3) (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))))
7.0ms	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) (PI)) 2) 3) (pow (acos (- 1 x)) 3)) (+ (* (/ (- (PI) (PI)) 2) (/ (- (PI) (PI)) 2)) (- (pow (acos (- 1 x)) 2) (* (/ (- (PI) (PI)) 2) (acos (- 1 x)))))) (* (/ (- (PI) (PI)) 2) (acos (- 1 x))) (+ (* (/ (- (PI) (PI)) 2) (/ (- (PI) (PI)) 2)) (- (pow (acos (- 1 x)) 2) (* (/ (- (PI) (PI)) 2) (acos (- 1 x))))) (+ (pow (/ (- (PI) (PI)) 2) 3) (pow (acos (- 1 x)) 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)))) (- (* (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)))) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x))))) (asin (- 1 x)) (pow (asin (- 1 x)) 2) (acos (- 1 x)) (pow (acos (- 1 x)) 2) (pow (acos (- 1 x)) 3) (pow (/ (PI) 2) 3) (* (PI) (+ (pow (/ (PI) 2) 2) (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 x)))))))

Time

Variable

Point

Expression

31.0ms

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

7.0ms

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

7.0ms

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

simplify402.0ms (5%)

Memory

18.0MiB live, 291.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	488
1	151	460
2	499	424
3	1282	416
4	4206	396
0	8326	370

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

rewrite208.0ms (2.6%)

Memory

42.3MiB live, 232.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	377
0	79	338
1	392	262
2	2934	262
0	8580	252

Stop Event

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

Counts

25 → 1 196

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

eval225.0ms (2.8%)

Memory: -8.6MiB live, 177.1MiB allocated
Compiler: Compiled 51 518 to 3 191 computations (93.8% saved)

prune71.0ms (0.9%)

Memory

3.9MiB live, 155.9MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	952	33	985
Fresh	8	2	10
Picked	4	1	5
Done	0	1	1
Total	964	37	1 001

Accuracy

10.9%

Counts

1 001 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
	5.4%	(/.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))))
	5.4%	(/.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)))))))
	5.4%	(/.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))))
▶	10.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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)))))))
	5.4%	(/.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)))))))
▶	7.2%	(/.f64 (fma.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))) (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))) #s(literal 2 binary64)))
	3.5%	(/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
▶	10.5%	(/.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))))
	7.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
	7.2%	(/.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))))
	6.2%	(/.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)))))
	7.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (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))))
	5.4%	(/.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))))
	5.4%	(/.f64 (-.f64 (.f64 (PI.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 (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 #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)))))))
	7.2%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.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)) (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)))))))
	5.4%	(/.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))))
	7.2%	(/.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) (fma.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.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)))))))
	10.5%	(/.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)))))))
	10.5%	(/.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)))))))
	10.5%	(/.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)))))))
	3.5%	(/.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))) (*.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))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
	3.5%	(/.f64 (exp.f64 (.f64 (log.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))))))
	7.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	3.5%	(+.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)))))
	7.2%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	7.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	4.5%	(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))))))
	5.3%	(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)))
	4.8%	(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)))
	6.2%	(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)))
▶	7.2%	#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)))))
	7.2%	#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 2 570 to 1 262 computations (50.9% saved)

simplify279.0ms (3.4%)

Memory

-33.1MiB live, 360.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.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	0	(fma.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))) (PI.f64)))
cost-diff	1	(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)))
cost-diff	20	(/.f64 (fma.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))) (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))) #s(literal 2 binary64)))
cost-diff	0	(-.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)))
cost-diff	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))))
cost-diff	1	(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	3	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff	0	(-.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)))
cost-diff	0	(/.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))))
cost-diff	0	#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)))))
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	1	(*.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))))
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	4	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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	20	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	702
0	106	706
1	193	670
2	548	632
3	2145	628
0	8407	614

Stop Event

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

Calls

Call 1

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

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

localize427.0ms (5.3%)

Memory

-4.8MiB live, 559.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9296875	(*.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))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	57.34466633656838	(fma.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))) (PI.f64)))
accuracy	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.8984375	(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.9609375	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
accuracy	1.17272699751506	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.328812434052224	(-.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)))
accuracy	0.046875	(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	0.375	(/.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))))
accuracy	1.17272699751506	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.328812434052224	(-.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)))
accuracy	0.0	(neg.f64 x)
accuracy	59.41035004275258	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.53743557808557	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.49609375	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	58.70213396450162	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

351.0ms	238×	1	valid
7.0ms	18×	0	valid

Compiler

Compiled 692 to 54 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-mult: 54.0ms (22% of total)

ival-add: 52.0ms (21.2% of total)

ival-div: 29.0ms (11.8% of total)

adjust: 29.0ms (11.8% of total)

ival-pow2: 23.0ms (9.4% of total)

ival-acos: 15.0ms (6.1% of total)

ival-sub: 13.0ms (5.3% of total)

ival-asin: 11.0ms (4.5% of total)

ival-pow: 11.0ms (4.5% of total)

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

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

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series26.0ms (0.3%)

Memory

37.7MiB live, 37.7MiB allocated

Counts

26 → 39

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

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

7.0ms

-inf

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

7.0ms

inf

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

simplify163.0ms (2%)

Memory

-12.1MiB live, 256.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	694
1	208	685
2	779	605
3	1848	597
4	5388	597
0	8108	549

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite281.0ms (3.5%)

Memory

23.0MiB live, 219.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	445
0	106	424
1	423	351
2	3375	351
0	8318	349

Stop Event

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

Counts

26 → 757

Calls

Call 1

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

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

eval224.0ms (2.8%)

Memory: -26.0MiB live, 161.2MiB allocated
Compiler: Compiled 45 223 to 2 858 computations (93.7% saved)

prune109.0ms (1.3%)

Memory

4.9MiB live, 165.0MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	716	21	737
Fresh	18	12	30
Picked	3	2	5
Done	0	2	2
Total	737	37	774

Accuracy

10.9%

Counts

774 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(fma.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))) (/.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))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.2%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
	10.5%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #s(literal -2 binary64) (fma.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.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)))))))
	3.5%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (+.f64 (cosh.f64 (.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.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)))))))
▶	10.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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)) #s(approx (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 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)))))))
	5.4%	(/.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)))))))
	10.5%	(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.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))) (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))) #s(literal 2 binary64)))
	10.5%	(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.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))) (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))) #s(literal 2 binary64)))
	10.5%	(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.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))) (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))) #s(literal 2 binary64)))
	5.4%	(/.f64 (fma.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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (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))) #s(literal 2 binary64)))
	10.5%	(/.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))) (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))))
	10.5%	(/.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))) (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))))
▶	3.5%	(/.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 (-.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))))
	7.2%	(/.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))))
	6.2%	(/.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)))))
▶	3.5%	(/.f64 (exp.f64 (.f64 (log.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))))))
	6.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	3.5%	(+.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)))))
	7.2%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	7.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	4.5%	(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))))))
	5.3%	(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)))
	6.2%	(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)))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.3%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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)))))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 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)))))
	7.2%	#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 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	10.5%	#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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	7.2%	#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)))))
	5.3%	#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)) (*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	7.2%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 2 719 to 1 430 computations (47.4% saved)

simplify139.0ms (1.7%)

Memory

3.8MiB live, 102.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
cost-diff	3	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
cost-diff	26	(/.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 (-.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))))
cost-diff	2	(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
cost-diff	3	(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)))))
cost-diff	5	(*.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	9	(/.f64 (exp.f64 (.f64 (log.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))))))
cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	#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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	1	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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)) #s(approx (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 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)))))))
cost-diff	1	(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 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)))))
cost-diff	4	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	790
0	129	675
1	246	652
2	576	651
3	2249	651
0	8495	646

Stop Event

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

Calls

Call 1

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

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

localize448.0ms (5.5%)

Memory

17.2MiB live, 295.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.17272699751506	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.328812434052224	(-.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)))
accuracy	57.328812434052224	(-.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	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.49609375	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	3.629652038097402	(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
accuracy	21.111900030647032	(/.f64 (exp.f64 (.f64 (log.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))))))
accuracy	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.8984375	(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.17272699751506	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.522679834657637	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))
accuracy	57.328812434052224	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)))
accuracy	0.0	(PI.f64)
accuracy	0.0	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.17272699751506	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.42151325781776	(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.4645500488422101	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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)) #s(approx (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 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)))))))
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	58.70213396450162	(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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	59.41035004275258	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

303.0ms	225×	1	valid
47.0ms	31×	2	valid

Compiler

Compiled 720 to 67 computations (90.7% saved)

Precisions

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

ival-mult: 61.0ms (22.8% of total)

adjust: 39.0ms (14.6% of total)

ival-div: 37.0ms (13.8% of total)

ival-pow2: 27.0ms (10.1% of total)

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

ival-acos: 18.0ms (6.7% of total)

ival-pow: 17.0ms (6.4% of total)

ival-add: 17.0ms (6.4% of total)

ival-asin: 9.0ms (3.4% of total)

ival-log: 8.0ms (3% of total)

ival-exp: 6.0ms (2.2% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

series12.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

26 → 25

Calls

Call 1

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

Outputs
(+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))
(* 1/2 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))
(- (* 1/2 (PI)) (asin (- 1 x)))
(pow (asin (- 1 x)) 2)
(- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))
(acos (- 1 x))
0
(pow (acos (- 1 x)) 2)
(pow (acos (- 1 x)) 3)
(asin (- 1 x))
(sqrt (asin (- 1 x)))
(+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))
(* 1/2 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(pow (asin (+ 1 (* -1 x))) 2)
(- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))
(acos (+ 1 (* -1 x)))
(pow (acos (+ 1 (* -1 x))) 2)
(pow (acos (+ 1 (* -1 x))) 3)
(asin (+ 1 (* -1 x)))
(sqrt (asin (+ 1 (* -1 x))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

simplify251.0ms (3.1%)

Memory

-9.1MiB live, 87.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	379
1	153	371
2	538	371
3	1355	367
4	4109	311
0	8275	293

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))
(* 1/2 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (- 1 x)) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))
(- (* 1/2 (PI)) (asin (- 1 x)))
(pow (asin (- 1 x)) 2)
(- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))
(acos (- 1 x))
0
(pow (acos (- 1 x)) 2)
(pow (acos (- 1 x)) 3)
(asin (- 1 x))
(sqrt (asin (- 1 x)))
(+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))
(* 1/2 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (+ 1 (* -1 x))) 3))) (+ (* 1/4 (pow (PI) 3)) (* (PI) (* (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)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))
(pow (asin (+ 1 (* -1 x))) 2)
(- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))
(acos (+ 1 (* -1 x)))
(pow (acos (+ 1 (* -1 x))) 2)
(pow (acos (+ 1 (* -1 x))) 3)
(asin (+ 1 (* -1 x)))
(sqrt (asin (+ 1 (* -1 x))))

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

rewrite228.0ms (2.8%)

Memory

-18.1MiB live, 182.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	455
0	129	329
1	532	282
2	3928	282
0	8764	280

Stop Event

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

Counts

26 → 787

Calls

Call 1

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

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

eval217.0ms (2.7%)

Memory: -4.7MiB live, 357.4MiB allocated
Compiler: Compiled 89 013 to 5 839 computations (93.4% saved)

prune105.0ms (1.3%)

Memory

17.0MiB live, 159.3MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	1 507	22	1 529
Fresh	16	12	28
Picked	3	2	5
Done	1	3	4
Total	1 527	39	1 566

Accuracy

10.9%

Counts

1 566 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(fma.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))) (/.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))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.2%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
	5.4%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.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 #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)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
	5.3%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.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)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
	10.5%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #s(literal -2 binary64) (-.f64 (pow.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))) #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)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
	10.5%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (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)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
	10.5%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 (PI.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)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
	10.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
	10.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 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)))))))
	3.5%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (+.f64 (cosh.f64 (.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.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)))))))
	10.6%	(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
	5.4%	(/.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)))))))
	3.4%	(/.f64 (-.f64 (pow.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))) #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 (-.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))))
	7.1%	(/.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 (-.f64 (pow.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))) #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))))
	7.1%	(/.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 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (PI.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))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	7.2%	(/.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))))
	3.5%	(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #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))))
	3.4%	(/.f64 (exp.f64 (.f64 (log.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) (*.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)))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.5%	(/.f64 (exp.f64 (.f64 (log.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) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
	3.5%	(+.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)))))
	7.2%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	7.2%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	4.5%	(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))))))
	6.2%	(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)))
	10.5%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.3%	#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 (pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	10.5%	#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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (-.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.4%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.3%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (.f64 #s(literal 1/2 binary64) (.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)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	7.2%	#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 5 951 to 1 411 computations (76.3% saved)

regimes68.0ms (0.8%)

Memory

8.0MiB live, 56.8MiB allocated

Counts

92 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

23.0ms	(-.f64 #s(literal 1 binary64) x)
22.0ms	x
16.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.6%	1	`(-.f64 #s(literal 1 binary64) x)`
10.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.6%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes45.0ms (0.6%)

Memory

-20.1MiB live, 74.6MiB allocated

Counts

65 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	x
12.0ms	(-.f64 #s(literal 1 binary64) x)
12.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.6%	1	`(-.f64 #s(literal 1 binary64) x)`
10.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.6%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes37.0ms (0.5%)

Memory

22.0MiB live, 69.0MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
11.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
10.6%	1	`(-.f64 #s(literal 1 binary64) x)`
10.6%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.6%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes87.0ms (1.1%)

Memory

-29.0MiB live, 29.4MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

65.0ms	x
9.0ms	(-.f64 #s(literal 1 binary64) x)
9.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.5%	1	`x`
10.5%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.5%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes14.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

#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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.5%	1	`(-.f64 #s(literal 1 binary64) x)`
10.5%	1	`x`
10.5%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.5%	1	`x`
10.5%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.5%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(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)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.7%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.7%	2	`(-.f64 #s(literal 1 binary64) x)`
9.7%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

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
9.7%	2	`x`
9.7%	2	`(-.f64 #s(literal 1 binary64) x)`
9.7%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.1%)

Memory

-44.3MiB live, 5.1MiB 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:

9.0ms	(-.f64 #s(literal 1 binary64) x)
1.0ms	x
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB 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	`x`
3.8%	1	`(-.f64 #s(literal 1 binary64) 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	0.0	1.6674765575780833e-5

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6674765575780833e-5

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify50.0ms (0.6%)

Memory

27.8MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	88	401
1	119	397
2	181	397
3	342	397
4	689	353
5	1341	345
6	2943	345

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 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)))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
(fma.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))) (/.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))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) 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
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) (* (/ (PI) 2) (acos (- 1 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)))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 #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 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(approx (+ (pow (acos (- 1 x)) 2) ( (/ (PI) 2) (acos (- 1 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)))))))
(fma.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))) (/.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))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.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))) (/.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))) #s(literal 2 binary64))) (neg.f64 (asin.f64 (-.f64 #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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #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 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (/ (PI) 2))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) 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)))

derivations849.0ms (10.4%)

Memory

-15.3MiB live, 77.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	488
1	151	460
2	499	424
3	1282	416
4	4206	396
0	8326	370
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	72	455
0	129	329
1	532	282
2	3928	282
0	8764	280
0	81	694
1	208	685
2	779	605
3	1848	597
4	5388	597
0	8108	549
0	59	445
0	106	424
1	423	351
2	3375	351
0	8318	349
0	42	377
0	79	338
1	392	262
2	2934	262
0	8580	252
0	4	7
0	6	7
1	27	7
2	148	7
3	1147	7
0	9155	7

Stop Event

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

Compiler

Compiled 401 to 89 computations (77.8% saved)

preprocess137.0ms (1.7%)

Memory: -13.2MiB live, 41.4MiB allocated
Compiler: Compiled 824 to 198 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (20.7%)

explain100.0ms (1.2%)

preprocess27.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize47.0ms (0.6%)

series1.0ms (0%)

simplify6.0ms (0.1%)

rewrite199.0ms (2.4%)

eval41.0ms (0.5%)

prune35.0ms (0.4%)

simplify378.0ms (4.7%)

localize417.0ms (5.1%)

series47.0ms (0.6%)

simplify402.0ms (5%)

rewrite208.0ms (2.6%)

eval225.0ms (2.8%)

prune71.0ms (0.9%)

simplify279.0ms (3.4%)

localize427.0ms (5.3%)

series26.0ms (0.3%)

simplify163.0ms (2%)

rewrite281.0ms (3.5%)

eval224.0ms (2.8%)

prune109.0ms (1.3%)

simplify139.0ms (1.7%)

localize448.0ms (5.5%)

series12.0ms (0.1%)

simplify251.0ms (3.1%)

rewrite228.0ms (2.8%)

eval217.0ms (2.7%)

prune105.0ms (1.3%)

regimes68.0ms (0.8%)

regimes45.0ms (0.6%)

regimes37.0ms (0.5%)

regimes87.0ms (1.1%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.6%)

derivations849.0ms (10.4%)

preprocess137.0ms (1.7%)

end0.0ms (0%)

Profiling