Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.7s (20.9%)

Memory

14.8MiB live, 1 788.2MiB allocated

Samples

1.0s	6 444×	1	valid
149.0ms	1 812×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 837.0ms

ival-acos: 471.0ms (56.3% of total)

ival-sub: 162.0ms (19.4% of total)

adjust: 125.0ms (14.9% of total)

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

exact: 14.0ms (1.7% of total)

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

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

Bogosity

explain97.0ms (1.2%)

Memory

5.6MiB live, 77.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
253	-	1	(0.006682624251847445)	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	252	3

Confusion

	Predicted +	Predicted -
+	252	1
-	0	3

Precision

1.0

Recall

0.9960474308300395

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	1	0
-	0	2	1

Precision?

0.9921568627450981

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	412×	1	valid
5.0ms	100×	0	valid

Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-acos: 31.0ms (72.1% of total)

ival-sub: 6.0ms (13.9% of total)

adjust: 6.0ms (13.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess13.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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	10	9
2	14	9
3	19	9
4	26	9
5	34	9
6	44	9
7	55	9
8	58	9
0	58	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

-35.9MiB live, 21.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

31.0ms	206×	1	valid
3.0ms	50×	0	valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

adjust: 11.0ms (41.9% of total)

ival-acos: 11.0ms (41.9% of total)

ival-sub: 4.0ms (15.2% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Inputs

#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())

#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

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))

simplify7.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	29	80
2	62	80
3	113	80
4	171	80
5	239	80
6	259	80
0	259	80

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

rewrite163.0ms (2%)

Memory

-3.0MiB live, 192.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	28	7
2	171	7
3	1385	7
0	9386	7

Stop Event

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

Counts

2 → 339

Calls

Call 1

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

Outputs
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eval48.0ms (0.6%)

Memory: 19.4MiB live, 56.2MiB allocated
Compiler: Compiled 11 168 to 1 327 computations (88.1% saved)

prune21.0ms (0.3%)

Memory

-1.7MiB live, 37.5MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	348	15	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	348	16	364

Accuracy

9.8%

Counts

364 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	5.6%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.5%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (-.f64 (.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))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
	7.4%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
▶	7.5%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	7.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.4%	(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.4%	(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.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)))))
✓	7.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 990 to 450 computations (54.5% saved)

simplify191.0ms (2.4%)

Memory

11.1MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	448	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
cost-diff	8000	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(PI.f64)
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	19584	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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	320	(.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	7104	(-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	7552	(-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	463
0	80	451
1	183	443
2	553	384
3	2465	357
4	7169	357
0	8102	345

Stop Event

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

Calls

Call 1

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

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

localize262.0ms (3.3%)

Memory

6.0MiB live, 207.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
accuracy	0.5	(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
accuracy	57.29726268243608	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	55.69386570194121	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	0	(PI.f64)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	55.813603184119366	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.5936521298192616	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	59.235033999318816	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0.3828125	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.3330230981435	(-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

167.0ms	196×	1	valid
23.0ms	60×	0	valid

Compiler

Compiled 944 to 85 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 43.0ms (32.5% of total)

adjust: 14.0ms (10.6% of total)

ival-sub: 13.0ms (9.8% of total)

ival-acos: 13.0ms (9.8% of total)

ival-asin: 11.0ms (8.3% of total)

ival-div: 8.0ms (6% of total)

ival-pow2: 8.0ms (6% of total)

ival-add: 8.0ms (6% of total)

ival-sqrt: 6.0ms (4.5% of total)

ival-cbrt: 4.0ms (3% of total)

ival-pi: 2.0ms (1.5% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series48.0ms (0.6%)

Memory

-15.3MiB live, 36.2MiB allocated

Counts

22 → 204

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (patch (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (patch (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (patch (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (patch (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (patch (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (patch (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (patch (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ())) ())
#s(alt (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (acos (+ 1 (* -1 x))) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (+ 1 (* -1 x))) 2)) (PI)))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (acos (+ 1 (* -1 x))) 2) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (asin (- 1 x)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x)))) (acos (- 1 x)) (asin (- 1 x)) (/ (- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* 2 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (pow (acos (- 1 x)) 2))
11.0ms	x	@	-inf	((- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (asin (- 1 x)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x)))) (acos (- 1 x)) (asin (- 1 x)) (/ (- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* 2 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (pow (acos (- 1 x)) 2))
7.0ms	x	@	0	((- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (asin (- 1 x)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2))) (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x)))) (acos (- 1 x)) (asin (- 1 x)) (/ (- (* (PI) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* 2 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (pow (acos (- 1 x)) 2))

Time

Variable

Point

Expression

19.0ms

inf

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

11.0ms

-inf

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

7.0ms

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

simplify165.0ms (2.1%)

Memory

9.9MiB live, 202.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	3464
1	249	3008
2	537	2540
3	1676	2228
4	5947	2228
0	8373	2060

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

rewrite354.0ms (4.4%)

Memory

7.9MiB live, 163.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	311
0	80	253
1	341	245
2	2974	224
0	10661	213

Stop Event

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

Counts

22 → 1 828

Calls

Call 1

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

Outputs
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eval1.2s (15.1%)

Memory: -92.3MiB live, 605.0MiB allocated
Compiler: Compiled 216 038 to 12 707 computations (94.1% saved)

prune117.0ms (1.5%)

Memory

-12.8MiB live, 265.4MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	3 966	28	3 994
Fresh	8	2	10
Picked	2	3	5
Done	0	1	1
Total	3 976	34	4 010

Accuracy

10.9%

Counts

4 010 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.5%	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	5.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
▶	10.6%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.6%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (.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))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.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)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	5.6%	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.4%	(/.f64 (-.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 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
	7.5%	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.5%	(/.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.6%	(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (PI.f64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.6%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.6%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.5%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	7.5%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (* 2 (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))) (.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.4%	(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	7.5%	(.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.4%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	7.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	5.6%	#s(approx (/ (- (* 1 (+ (* 1/2 (PI)) (acos (- 1 x)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (- 1 x)) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (- 1 x))))) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 2 101 to 1 080 computations (48.6% saved)

simplify138.0ms (1.7%)

Memory

-26.6MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	7040	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
cost-diff	19584	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	128	(-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	320	(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	1600	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	8384	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
cost-diff	0	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
cost-diff	320	(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	500
0	96	500
1	210	481
2	550	429
3	2132	425
4	6974	425
0	8611	415

Stop Event

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

Calls

Call 1

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

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

localize267.0ms (3.4%)

Memory

-8.5MiB live, 309.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	57.29726268243608	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.984375	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.29726268243608	(-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.05078125	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
accuracy	0.05078125	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.39216954995173	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	0	(neg.f64 x)
accuracy	59.235033999318816	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
accuracy	62.50393060228624	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(PI.f64)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	55.813603184119366	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Samples

173.0ms	198×	1	valid
22.0ms	58×	0	valid

Compiler

Compiled 1 013 to 102 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 47.0ms (31.3% of total)

adjust: 16.0ms (10.7% of total)

ival-add: 13.0ms (8.7% of total)

ival-acos: 13.0ms (8.7% of total)

ival-asin: 11.0ms (7.3% of total)

ival-div: 11.0ms (7.3% of total)

ival-sqrt: 10.0ms (6.7% of total)

ival-sub: 8.0ms (5.3% of total)

ival-pow2: 8.0ms (5.3% of total)

ival-neg: 7.0ms (4.7% of total)

ival-cbrt: 4.0ms (2.7% of total)

ival-pi: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series23.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

24 → 204

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (patch (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (patch (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (patch (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos.f64 #s(approx (- 1 x) (neg.f64 x))) (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (asin (- 1 x)) (taylor 0 x) (#s(alt (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (asin (- 1 x)) (taylor 0 x) (#s(alt (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (asin (- 1 x)) (taylor 0 x) (#s(alt (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (asin (- 1 x)) (taylor 0 x) (#s(alt (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (/ (* (PI) (+ (PI) (* 2 (asin (- 1 x))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (asin (- 1 x))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

5.0ms

-inf

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

5.0ms

inf

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

simplify155.0ms (1.9%)

Memory

1.6MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	2480
1	209	2480
2	397	2396
3	863	2300
4	2178	2060
0	8038	1904

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite184.0ms (2.3%)

Memory

-11.0MiB live, 76.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	268
0	94	257
1	399	223
2	3618	207
0	8951	203

Stop Event

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

Counts

24 → 1 033

Calls

Call 1

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

Outputs
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eval385.0ms (4.8%)

Memory: 12.4MiB live, 310.5MiB allocated
Compiler: Compiled 109 523 to 7 149 computations (93.5% saved)

prune88.0ms (1.1%)

Memory

20.6MiB live, 139.4MiB allocated

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	2 613	23	2 636
Fresh	13	12	25
Picked	3	2	5
Done	0	4	4
Total	2 629	41	2 670

Accuracy

11.0%

Counts

2 670 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	10.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.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))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	7.4%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	7.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (/.f64 (-.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	3.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.5%	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	5.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.6%	(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	3.6%	(fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	10.6%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	5.6%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	7.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (.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))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.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)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.6%	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.6%	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	5.6%	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	7.5%	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.5%	(/.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	10.6%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.4%	(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	7.4%	(-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
▶	7.4%	(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	7.5%	(.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	7.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	10.5%	#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 2 506 to 1 355 computations (45.9% saved)

simplify161.0ms (2%)

Memory

-19.0MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))
cost-diff	320	(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	14976	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.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))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
cost-diff	19584	(fma.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)))
cost-diff	0	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	128	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
cost-diff	128	(-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
cost-diff	1600	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	192	(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	832	(-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	14976	(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
cost-diff	0	(asin.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
cost-diff	7552	(-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
cost-diff	8896	(fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
cost-diff	15616	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	638
0	103	540
1	229	509
2	649	446
3	2911	428
0	8669	419

Stop Event

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

Calls

Call 1

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

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

localize327.0ms (4.1%)

Memory

-20.2MiB live, 120.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.39216954995173	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.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))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	0.984375	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	57.29726268243608	(-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.05078125	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0703125	(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(PI.f64)
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.28039367315311	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.2170930926114303	(asin.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.3330230981435	(-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
accuracy	59.235033999318816	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Samples

224.0ms	243×	1	valid
18.0ms	13×	2	valid

Compiler

Compiled 1 320 to 111 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 63.0ms (33.2% of total)

adjust: 25.0ms (13.2% of total)

ival-add: 19.0ms (10% of total)

ival-asin: 17.0ms (9% of total)

ival-div: 15.0ms (7.9% of total)

ival-acos: 13.0ms (6.9% of total)

ival-sub: 10.0ms (5.3% of total)

ival-pow2: 9.0ms (4.7% of total)

ival-neg: 6.0ms (3.2% of total)

ival-sqrt: 4.0ms (2.1% of total)

ival-cbrt: 4.0ms (2.1% of total)

ival-pi: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series38.0ms (0.5%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

25 → 252

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (patch (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (asin.f64 (-.f64 #s(literal 1 binary64) x)) (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (patch (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (patch (+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
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Outputs
#s(alt (* 1/4 (/ (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (- (* 2 (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (PI) (* 2 (asin (- 1 x)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos.f64 (-.f64 #s(literal 1 binary64) x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

-inf

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

6.0ms

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

6.0ms

inf

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

simplify194.0ms (2.4%)

Memory

-2.1MiB live, 69.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	3924
1	295	3600
2	536	3084
3	1355	2280
4	5695	2256
0	8506	2100

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite200.0ms (2.5%)

Memory

0.4MiB live, 87.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	398
0	103	373
1	474	324
2	4291	321
0	8157	310

Stop Event

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

Counts

25 → 1 318

Calls

Call 1

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

Outputs
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eval533.0ms (6.7%)

Memory: 35.4MiB live, 433.2MiB allocated
Compiler: Compiled 158 243 to 10 569 computations (93.3% saved)

prune152.0ms (1.9%)

Memory

-24.5MiB live, 195.2MiB allocated

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	3 577	29	3 606
Fresh	8	22	30
Picked	4	1	5
Done	1	5	6
Total	3 590	57	3 647

Accuracy

11.1%

Counts

3 647 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 4 binary64) (fma.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))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.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))))) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.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))))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	7.5%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (/.f64 (-.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	3.6%	(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	5.5%	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	5.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	3.6%	(fma.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
	3.6%	(fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	10.5%	(fma.f64 (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	10.6%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.6%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 4 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.6%	(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	10.5%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	7.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	7.4%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (.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))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.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)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	5.6%	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	5.6%	(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	7.5%	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
	10.5%	(/.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(/.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.6%	(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.6%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (fma.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)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
	10.6%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
	3.7%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	3.6%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.6%	(+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	7.4%	(+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	3.6%	(+.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	3.6%	(+.f64 (-.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	7.5%	(+.f64 (-.f64 (/.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal 4 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	10.5%	(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	7.4%	(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	10.6%	(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	5.6%	(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	3.7%	(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (-.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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
	7.5%	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64)) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (fma.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (PI.f64)))))
✓	7.4%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	6.8%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.9%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 5 387 to 1 459 computations (72.9% saved)

regimes68.0ms (0.9%)

Memory

-2.5MiB live, 35.8MiB allocated

Counts

96 → 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))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (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 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (/.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (PI.f64)) (fma.f64 #s(literal 4 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
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(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 #s(literal 4 binary64) (fma.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))))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (fma.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)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (.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))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (.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)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))

Outputs

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

Calls

3 calls:

24.0ms	x
20.0ms	(-.f64 #s(literal 1 binary64) x)
18.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes10.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

11 → 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))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt (* (sqrt (PI)) 1/2)) (sqrt (* (sqrt (PI)) 2))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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

6.2MiB live, 6.2MiB allocated

Counts

9 → 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))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.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
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)

regimes7.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

(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
10.5%	2	`x`
10.5%	2	`(-.f64 #s(literal 1 binary64) x)`
10.5%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-34.9MiB live, 4.9MiB allocated

Counts

5 → 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))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))

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

Calls

3 calls:

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)

regimes4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.8%	1	`(-.f64 #s(literal 1 binary64) x)`
6.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
6.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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
3.9%	1	`(-.f64 #s(literal 1 binary64) x)`
3.9%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
3.9%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.6500241499888574e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch10.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1749179280978585e-17	6.732262699668063e-16

Samples

5.0ms

112×

valid

Compiler

Compiled 63 to 78 computations (-23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-acos: 2.0ms (68.4% of total)

ival-sub: 1.0ms (34.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify20.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	124
1	63	124
2	74	124
3	79	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 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
(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 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)))

soundness529.0ms (6.6%)

Memory

-29.6MiB live, 10.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	29	80
2	62	80
3	113	80
4	171	80
5	239	80
6	259	80
0	259	80
0	4	7
0	6	7
1	28	7
2	171	7
3	1385	7
0	9386	7
0	42	311
0	80	253
1	341	245
2	2974	224
0	10661	213
0	51	398
0	103	373
1	474	324
2	4291	321
0	8157	310

Stop Event

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

Compiler

Compiled 270 to 150 computations (44.4% saved)

preprocess55.0ms (0.7%)

Memory: 14.2MiB live, 54.6MiB allocated
Compiler: Compiled 246 to 106 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (20.9%)

explain97.0ms (1.2%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize39.0ms (0.5%)

series1.0ms (0%)

simplify7.0ms (0.1%)

rewrite163.0ms (2%)

eval48.0ms (0.6%)

prune21.0ms (0.3%)

simplify191.0ms (2.4%)

localize262.0ms (3.3%)

series48.0ms (0.6%)

simplify165.0ms (2.1%)

rewrite354.0ms (4.4%)

eval1.2s (15.1%)

prune117.0ms (1.5%)

simplify138.0ms (1.7%)

localize267.0ms (3.4%)

series23.0ms (0.3%)

simplify155.0ms (1.9%)

rewrite184.0ms (2.3%)

eval385.0ms (4.8%)

prune88.0ms (1.1%)

simplify161.0ms (2%)

localize327.0ms (4.1%)

series38.0ms (0.5%)

simplify194.0ms (2.4%)

rewrite200.0ms (2.5%)

eval533.0ms (6.7%)

prune152.0ms (1.9%)

regimes68.0ms (0.9%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify20.0ms (0.3%)

soundness529.0ms (6.6%)

preprocess55.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	11
1	15	9
2	27	9
3	49	9
4	67	9
5	89	9
6	102	9
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	26	4
5	34	4
6	44	4
7	55	4
8	58	4
0	58	4