Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

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)

sample1.8s (35.6%)

Memory

-21.2MiB live, 1 429.7MiB allocated; 1.1s collecting garbage

Samples

759.0ms	4 172×	1	valid
722.0ms	3 946×	2	valid
6.0ms	138×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-acos: 896.0ms (71.4% of total)

adjust: 211.0ms (16.8% of total)

ival-sub!: 148.0ms (11.8% of total)

Bogosity

preprocess61.0ms (1.2%)

Memory

4.0MiB live, 50.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	26	13
2	77	13
3	263	13
4	1885	13

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 8 computations (0% saved)

series62.0ms (1.2%)

Memory

22.8MiB live, 68.9MiB allocated; 5ms collecting garbage

Counts

4 → 8

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
0.0ms	x	-inf
0.0ms	x	inf
0.0ms	x	0

rewrite153.0ms (3.1%)

Memory

11.9MiB live, 155.7MiB allocated; 16ms collecting garbage

Counts

4 → 9

Calls

Call 1

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

Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(neg.f64 (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
x

eval3.0ms (0.1%)

Memory: 4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 104 to 50 computations (51.9% saved)

prune4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	5	14

Accuracy

10.5%

Counts

14 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	8.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	8.4%	(acos.f64 #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
▶	7.0%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 38 to 34 computations (10.5% saved)

series100.0ms (2%)

Memory

-13.1MiB live, 79.1MiB allocated; 14ms collecting garbage

Counts

19 → 16

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
4.0ms	x	0
2.0ms	x	-inf
2.0ms	x	inf

rewrite293.0ms (5.9%)

Memory

-5.3MiB live, 331.0MiB allocated; 109ms collecting garbage

Counts

19 → 387

Calls

Call 1

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

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

eval66.0ms (1.3%)

Memory: 18.7MiB live, 111.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 212 to 1 699 computations (72.6% saved)

prune16.0ms (0.3%)

Memory

-13.1MiB live, 31.9MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	488	6	494
Fresh	0	0	0
Picked	3	1	4
Done	0	1	1
Total	491	8	499

Accuracy

10.5%

Counts

499 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	8.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
▶	8.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
▶	8.0%	(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
✓	8.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 #s(literal 1 binary64) x) x)))
▶	7.0%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 124 to 110 computations (11.3% saved)

series88.0ms (1.8%)

Memory

-22.6MiB live, 75.8MiB allocated; 18ms collecting garbage

Counts

23 → 23

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	0
1.0ms	x	inf

rewrite1.3s (25.9%)

Memory

20.3MiB live, 1 214.0MiB allocated; 262ms collecting garbage

Counts

23 → 2 811

Calls

Call 1

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

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

eval384.0ms (7.7%)

Memory: 30.6MiB live, 480.1MiB allocated; 120ms collecting garbage
Compiler: Compiled 43 956 to 8 040 computations (81.7% saved)

prune113.0ms (2.3%)

Memory

9.8MiB live, 156.6MiB allocated; 21ms collecting garbage

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	2 772	39	2 811
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	2 774	45	2 819

Accuracy

11.8%

Counts

2 819 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.9%	(fma.f64 (/.f64 (-.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64)) (+.f64 x x)) x (.f64 #s(literal 1/2 binary64) (PI.f64)))
	6.5%	(fma.f64 (/.f64 (-.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64)) (.f64 x (+.f64 x x))) (.f64 x x) (.f64 #s(literal 1/2 binary64) (PI.f64)))
▶	8.1%	(fma.f64 (/.f64 (*.f64 (PI.f64) x) x) #s(literal 1/2 binary64) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	8.9%	(fma.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 x x)) x (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.5%	(fma.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 x (+.f64 x x))) (.f64 x x) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.8%	(fma.f64 (/.f64 (PI.f64) (+.f64 x x)) x (asin.f64 (-.f64 x #s(literal 1 binary64))))
	7.2%	(fma.f64 (/.f64 (PI.f64) (.f64 x (+.f64 x x))) (.f64 x x) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.2%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (PI.f64) (/.f64 #s(literal 2 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	8.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (PI.f64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
	9.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) x (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
▶	8.7%	(fma.f64 (*.f64 (neg.f64 (PI.f64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x x)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.0%	(fma.f64 (.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 (-.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 #s(literal -1/2 binary64) (PI.f64))))
	8.9%	(fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
	8.9%	(fma.f64 (*.f64 (PI.f64) x) (/.f64 #s(literal 1 binary64) (+.f64 x x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	6.9%	(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.1%	(fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 x x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	8.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 x x)) x (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.5%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
	8.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64)) (+.f64 x x)) x))
	10.6%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 x (-.f64 (.f64 (cosh.f64 #s(literal 1/2 binary64)) (cosh.f64 #s(literal 1/2 binary64))) (.f64 (sinh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64)))))))
✓	8.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.0%	(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x)) (PI.f64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	7.3%	(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.1%	(-.f64 (/.f64 (*.f64 (PI.f64) x) x) (acos.f64 (-.f64 x #s(literal 1 binary64))))
	8.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))
	8.0%	(-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	8.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (PI.f64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
	8.2%	(-.f64 (.f64 (.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x) (acos.f64 (-.f64 x #s(literal 1 binary64))))
	8.5%	(-.f64 (PI.f64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.1%	(-.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.0%	(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.0%	(-.f64 (PI.f64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))))
▶	10.6%	(-.f64 (PI.f64) (acos.f64 (-.f64 x (-.f64 (.f64 (cosh.f64 #s(literal 1/2 binary64)) (cosh.f64 #s(literal 1/2 binary64))) (.f64 (sinh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64)))))))
✓	8.0%	(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
▶	6.2%	(-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (-.f64 (.f64 x x) x) (*.f64 x x)) x)))
▶	8.0%	(-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	8.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	2.2%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) x)))
	7.4%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (.f64 (cosh.f64 #s(literal 1/2 binary64)) (cosh.f64 #s(literal 1/2 binary64))) (*.f64 (sinh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64)))) x) x)))
	1.6%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) x)) x)))
	2.2%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 x (.f64 x x)) x)))
✓	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 #s(literal 1 binary64) x) x)))
	2.2%	(acos.f64 #s(approx (- 1 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x)))
✓	7.0%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 1 134 to 811 computations (28.5% saved)

series96.0ms (1.9%)

Memory

-14.5MiB live, 101.8MiB allocated; 40ms collecting garbage

Counts

34 → 47

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
5.0ms	x	-inf
4.0ms	x	0
4.0ms	x	inf

rewrite153.0ms (3.1%)

Memory

6.7MiB live, 144.9MiB allocated; 19ms collecting garbage

Counts

34 → 135

Calls

Call 1

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

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

eval19.0ms (0.4%)

Memory: -15.6MiB live, 34.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 512 to 587 computations (76.6% saved)

prune20.0ms (0.4%)

Memory

5.1MiB live, 50.9MiB allocated; 1ms collecting garbage

Pruning

45 alts after pruning (38 fresh and 7 done)

	Pruned	Kept	Total
New	132	6	138
Fresh	2	32	34
Picked	4	1	5
Done	0	6	6
Total	138	45	183

Accuracy

11.8%

Counts

183 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.9%	(fma.f64 (/.f64 (-.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64)) (+.f64 x x)) x (.f64 #s(literal 1/2 binary64) (PI.f64)))
	6.5%	(fma.f64 (/.f64 (-.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64)) (.f64 x (+.f64 x x))) (.f64 x x) (.f64 #s(literal 1/2 binary64) (PI.f64)))
	4.0%	(fma.f64 (/.f64 (*.f64 (PI.f64) x) x) #s(literal 1/2 binary64) (asin.f64 #s(approx (- x 1) #s(literal -1 binary64))))
	8.9%	(fma.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 x x)) x (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.5%	(fma.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 x (+.f64 x x))) (.f64 x x) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	8.8%	(fma.f64 (/.f64 (PI.f64) (+.f64 x x)) x (asin.f64 (-.f64 x #s(literal 1 binary64))))
	7.2%	(fma.f64 (/.f64 (PI.f64) (.f64 x (+.f64 x x))) (.f64 x x) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.2%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (PI.f64) (/.f64 #s(literal 2 binary64) x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	8.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (PI.f64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
	9.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) x (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.7%	(fma.f64 (*.f64 (neg.f64 (PI.f64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x x)) (-.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	10.7%	(fma.f64 (*.f64 (neg.f64 (PI.f64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x x)) (-.f64 (PI.f64) (asin.f64 (fma.f64 (+.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64))) (-.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64))) (neg.f64 x)))))
	8.7%	(fma.f64 (*.f64 (neg.f64 (PI.f64)) x) #s(approx (/ 1 (+ x x)) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.0%	(fma.f64 (.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 (-.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 #s(literal -1/2 binary64) (PI.f64))))
	8.9%	(fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
	8.9%	(fma.f64 (*.f64 (PI.f64) x) (/.f64 #s(literal 1 binary64) (+.f64 x x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	6.9%	(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.1%	(fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 x x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	8.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 x x)) x (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.5%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
	8.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (PI.f64)) (+.f64 x x)) x))
✓	8.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.0%	(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x)) (PI.f64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	7.3%	(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.1%	(-.f64 (/.f64 (*.f64 (PI.f64) x) x) (acos.f64 (-.f64 x #s(literal 1 binary64))))
	8.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))
	8.0%	(-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	8.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (PI.f64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
	8.2%	(-.f64 (.f64 (.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x) (acos.f64 (-.f64 x #s(literal 1 binary64))))
	8.5%	(-.f64 (PI.f64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.1%	(-.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	8.0%	(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	8.0%	(-.f64 (PI.f64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))))
	10.7%	(-.f64 (PI.f64) (acos.f64 (-.f64 x (*.f64 (+.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64))) (-.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64)))))))
✓	8.0%	(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
	2.2%	(-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 #s(approx (- ( x x) x) (.f64 #s(literal -1 binary64) x)) (.f64 x x)) x)))
✓	8.0%	(-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	8.0%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	2.2%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) x)))
	1.6%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) x)) x)))
	2.2%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 x (.f64 x x)) x)))
✓	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 #s(literal 1 binary64) x) x)))
	2.2%	(acos.f64 #s(approx (- 1 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x)))
✓	7.0%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 606 to 441 computations (27.2% saved)

regimes191.0ms (3.8%)

Memory

-1.8MiB live, 227.3MiB allocated; 60ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 1

4 → 2

13 → 2

17 → 2

35 → 1

51 → 1

56 → 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)))

Call 2

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)))

Call 3

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

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Call 7

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

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

Call 8

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

Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 x (*.f64 (+.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64))) (-.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64)))))))

Outputs

(-.f64 (PI.f64) (acos.f64 (-.f64 x (*.f64 (+.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64))) (-.f64 (cosh.f64 #s(literal 1/2 binary64)) (sinh.f64 #s(literal 1/2 binary64)))))))

Calls

24 calls:

32.0ms	x
28.0ms	x
25.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
11.0ms	(-.f64 #s(literal 1 binary64) x)
10.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
3.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
3.8%	1	`(-.f64 #s(literal 1 binary64) x)`
3.8%	1	`x`
7.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
7.0%	1	`(-.f64 #s(literal 1 binary64) x)`
7.0%	1	`x`
10.5%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.5%	2	`(-.f64 #s(literal 1 binary64) x)`
10.5%	2	`x`
10.5%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.5%	2	`(-.f64 #s(literal 1 binary64) x)`
10.5%	2	`x`
10.5%	2	`x`
10.5%	2	`(-.f64 #s(literal 1 binary64) x)`
10.5%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.0%	1	`(-.f64 #s(literal 1 binary64) x)`
9.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.0%	1	`x`
9.2%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.2%	1	`x`
9.2%	1	`(-.f64 #s(literal 1 binary64) x)`
10.7%	1	`(-.f64 #s(literal 1 binary64) x)`
10.7%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.7%	1	`x`

Compiler

Compiled 819 to 249 computations (69.6% saved)

bsearch12.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.7078635798996877e-17	1.7053283352035491e-16

Samples

8.0ms

96×

valid

Compiler

Compiled 109 to 110 computations (-0.9% saved)

Precisions

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

ival-acos: 4.0ms (70.8% of total)

adjust: 1.0ms (17.7% of total)

ival-sub!: 1.0ms (17.7% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.7078635798996877e-17	1.7053283352035491e-16

Compiler

Compiled 85 to 92 computations (-8.2% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.7078635798996877e-17	1.7053283352035491e-16

Compiler

Compiled 73 to 80 computations (-9.6% saved)

derivations3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 106 to 42 computations (60.4% saved)

preprocess78.0ms (1.6%)

Memory: -8.6MiB live, 132.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 110 to 46 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (35.6%)

preprocess61.0ms (1.2%)

series62.0ms (1.2%)

rewrite153.0ms (3.1%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

series100.0ms (2%)

rewrite293.0ms (5.9%)

eval66.0ms (1.3%)

prune16.0ms (0.3%)

series88.0ms (1.8%)

rewrite1.3s (25.9%)

eval384.0ms (7.7%)

prune113.0ms (2.3%)

series96.0ms (1.9%)

rewrite153.0ms (3.1%)

eval19.0ms (0.4%)

prune20.0ms (0.4%)

regimes191.0ms (3.8%)

bsearch12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations3.0ms (0.1%)

preprocess78.0ms (1.6%)

end0.0ms (0%)

Profiling