Metrics for bug323 (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.2s (50.9%)

Memory

28.6MiB live, 1 295.7MiB allocated; 228ms collecting garbage

Samples

588.0ms	3 896×	2	valid
397.0ms	4 209×	1	valid
6.0ms	151×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

ival-acos: 491.0ms (67.8% of total)

adjust: 152.0ms (21% of total)

ival-sub!: 81.0ms (11.2% of total)

Bogosity

preprocess76.0ms (3.2%)

Memory

-36.0MiB live, 10.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	17	13
2	29	13
3	53	13
4	135	13
5	480	13
6	3438	13
7	7484	13

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms 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)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

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

rewrite50.0ms (2.1%)

Memory

9.5MiB live, 56.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	77
0	25	70
1	99	70
0	675	70

Stop Event

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

Counts

12 → 38

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 193 to 111 computations (42.5% saved)

prune4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	25	7	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	8	33

Accuracy

8.8%

Counts

33 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.3%	(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	6.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
▶	6.3%	(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
✓	6.3%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	6.7%	(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
▶	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
▶	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 168 to 128 computations (23.8% saved)

series4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

21 → 32

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((acos (- 1 x)) (- 1 x) (neg x) x (acos (- 1 x)) (- 1 x) 1 (- (PI) (acos (- x 1))) (PI) (acos (- x 1)) (- x 1) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (asin (- 1 x)) (- 1 x))
1.0ms	x	@	0	((acos (- 1 x)) (- 1 x) (neg x) x (acos (- 1 x)) (- 1 x) 1 (- (PI) (acos (- x 1))) (PI) (acos (- x 1)) (- x 1) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (asin (- 1 x)) (- 1 x))
1.0ms	x	@	inf	((acos (- 1 x)) (- 1 x) (neg x) x (acos (- 1 x)) (- 1 x) 1 (- (PI) (acos (- x 1))) (PI) (acos (- x 1)) (- x 1) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (asin (- 1 x)) (- 1 x))

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite63.0ms (2.6%)

Memory

5.4MiB live, 57.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	432
0	101	383
1	306	381
0	1693	379

Stop Event

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

Counts

53 → 266

Calls

Call 1

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

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

eval21.0ms (0.9%)

Memory: -8.5MiB live, 38.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 094 to 772 computations (63.1% saved)

prune20.0ms (0.8%)

Memory

-14.7MiB live, 32.6MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	193	17	210
Fresh	2	0	2
Picked	2	3	5
Done	0	1	1
Total	197	21	218

Accuracy

9.8%

Counts

218 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.7%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
▶	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.7%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))))
▶	6.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
▶	9.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
	4.5%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.3%	(-.f64 (PI.f64) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.3%	(-.f64 (PI.f64) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
	6.3%	(-.f64 (PI.f64) (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.3%	(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.3%	(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
✓	6.3%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	4.2%	(acos.f64 #s(approx (- 1 x) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
	6.6%	(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
▶	4.4%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
	5.9%	(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
▶	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.3%	#s(approx (acos (- 1 x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 584 to 430 computations (26.4% saved)

series15.0ms (0.6%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Counts

38 → 64

Calls

Call 1

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

Outputs
#s(approx (- (/ (PI) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x))))) #s(hole binary64 (acos (- 1 x))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (- 1 x)))))
#s(approx (neg (acos (- 1 x))) #s(hole binary64 (* -1 (acos (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- x 1))) #s(hole binary64 (+ (asin (- x 1)) (* 1/2 (PI)))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) #s(hole binary64 1))
#s(approx (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) #s(hole binary64 (/ (- (pow (PI) 3) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (PI) (acos (- x 1)))) (pow (PI) 2)))))
#s(approx (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) #s(hole binary64 (- (pow (PI) 3) (pow (acos (- x 1)) 3))))
#s(approx (pow (acos (- x 1)) 3) #s(hole binary64 (pow (acos (- x 1)) 3)))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (- x 1))))
#s(approx (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) #s(hole binary64 (+ (* (acos (- x 1)) (+ (PI) (acos (- x 1)))) (pow (PI) 2))))
#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (- x 1)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) #s(hole binary64 -1))
#s(approx (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (- (/ (PI) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x))))) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (+ 1 (* -1 x))))))
#s(approx (neg (acos (- 1 x))) #s(hole binary64 (* -1 (acos (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- x 1))) #s(hole binary64 (+ (asin (neg (+ 1 (* -1 x)))) (* 1/2 (PI)))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) #s(hole binary64 (/ (- (pow (PI) 3) (pow (acos (neg (+ 1 (* -1 x)))) 3)) (+ (* (acos (neg (+ 1 (* -1 x)))) (+ (PI) (acos (neg (+ 1 (* -1 x)))))) (pow (PI) 2)))))
#s(approx (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) #s(hole binary64 (- (pow (PI) 3) (pow (acos (neg (+ 1 (* -1 x)))) 3))))
#s(approx (pow (acos (- x 1)) 3) #s(hole binary64 (pow (acos (neg (+ 1 (* -1 x)))) 3)))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (neg (+ 1 (* -1 x))))))
#s(approx (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) #s(hole binary64 (+ (* (acos (neg (+ 1 (* -1 x)))) (+ (PI) (acos (neg (+ 1 (* -1 x)))))) (pow (PI) 2))))
#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (neg (+ 1 (* -1 x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((- (/ (PI) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x))))) (/ (PI) 2) (PI) 2 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x)))) (sqrt (PI)) (/ (sqrt (PI)) 2) (neg (acos (- 1 x))) (acos (- 1 x)) (- 1 x) 1 x (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- x 1))) (asin (- x 1)) (- x 1) (acos (- 1 x)) (- 1 x) (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (pow (acos (- x 1)) 3) (acos (- x 1)) 3 (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) (+ (acos (- x 1)) (PI)))
4.0ms	x	@	0	((- (/ (PI) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x))))) (/ (PI) 2) (PI) 2 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x)))) (sqrt (PI)) (/ (sqrt (PI)) 2) (neg (acos (- 1 x))) (acos (- 1 x)) (- 1 x) 1 x (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- x 1))) (asin (- x 1)) (- x 1) (acos (- 1 x)) (- 1 x) (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (pow (acos (- x 1)) 3) (acos (- x 1)) 3 (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) (+ (acos (- x 1)) (PI)))
4.0ms	x	@	-inf	((- (/ (PI) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x))))) (/ (PI) 2) (PI) 2 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x)))) (sqrt (PI)) (/ (sqrt (PI)) 2) (neg (acos (- 1 x))) (acos (- 1 x)) (- 1 x) 1 x (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- x 1))) (asin (- x 1)) (- x 1) (acos (- 1 x)) (- 1 x) (* (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) x) (/ (- (/ 1 (* x x)) 1) (- (/ 1 x) -1)) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (pow (acos (- x 1)) 3) (acos (- x 1)) 3 (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) (+ (acos (- x 1)) (PI)))

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

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

4.0ms

-inf

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

rewrite138.0ms (5.7%)

Memory

-19.5MiB live, 126.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	1290
0	230	1001
1	771	894
0	4097	892

Stop Event

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

Counts

102 → 846

Calls

Call 1

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

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

eval90.0ms (3.7%)

Memory: 1.6MiB live, 140.0MiB allocated; 17ms collecting garbage
Compiler: Compiled 9 865 to 3 034 computations (69.2% saved)

prune36.0ms (1.5%)

Memory

14.1MiB live, 61.2MiB allocated; 2ms collecting garbage

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	765	17	782
Fresh	7	5	12
Picked	2	3	5
Done	0	4	4
Total	774	29	803

Accuracy

10.0%

Counts

803 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.8%	(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
▶	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))
	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
✓	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	6.7%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 #s(approx (- x 1) x)))
	9.7%	(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (PI.f64)))))
	4.5%	(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
	9.7%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
	4.5%	(/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
	6.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
▶	5.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
	9.6%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	9.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (PI.f64) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))))
✓	9.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.5%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))
	4.5%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.3%	(-.f64 (PI.f64) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.3%	(-.f64 (PI.f64) (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
▶	6.3%	(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.3%	(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
✓	6.3%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	3.8%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) x)))
	2.3%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x))) x)))
▶	5.9%	(acos.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)))
✓	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
	4.3%	(acos.f64 #s(approx (- 1 x) (.f64 #s(approx (- (/ 1 x) 1) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.3%	#s(approx (- (/ (PI) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 891 to 634 computations (28.8% saved)

series58.0ms (2.4%)

Memory

-13.1MiB live, 79.5MiB allocated; 5ms collecting garbage

Counts

36 → 54

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (sqrt (PI)) 2)) (asin (- x 1))) #s(hole binary64 (+ (asin (- x 1)) (* 1/2 (PI)))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (- (PI) (- (PI) (acos (- 1 x)))) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (PI) (acos (- 1 x))) #s(hole binary64 (- (PI) (acos (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 1))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1))))) #s(hole binary64 (- (PI) (acos (- x 1)))))
#s(approx (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (- x 1)))))
#s(approx (neg (acos (- x 1))) #s(hole binary64 (* -1 (acos (- x 1)))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (- x 1))))
#s(approx (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) #s(hole binary64 (/ (- (pow (PI) 3) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (PI) (acos (- x 1)))) (pow (PI) 2)))))
#s(approx (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) #s(hole binary64 (- (pow (PI) 3) (pow (acos (- x 1)) 3))))
#s(approx (pow (acos (- x 1)) 3) #s(hole binary64 (pow (acos (- x 1)) 3)))
#s(approx (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) #s(hole binary64 (+ (* (acos (- x 1)) (+ (PI) (acos (- x 1)))) (pow (PI) 2))))
#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (- x 1)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 -1))
#s(approx (- (exp (* (log x) -1)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (log x) -1) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (sqrt (PI)) 2)) (asin (- x 1))) #s(hole binary64 (+ (asin (neg (+ 1 (* -1 x)))) (* 1/2 (PI)))))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- (PI) (- (PI) (acos (- 1 x)))) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- (PI) (acos (- 1 x))) #s(hole binary64 (- (PI) (acos (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (exp (* (log x) -1)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1))))) #s(hole binary64 (- (PI) (acos (neg (+ 1 (* -1 x)))))))
#s(approx (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (neg (+ 1 (* -1 x)))))))
#s(approx (neg (acos (- x 1))) #s(hole binary64 (* -1 (acos (neg (+ 1 (* -1 x)))))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (neg (+ 1 (* -1 x))))))
#s(approx (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) #s(hole binary64 (/ (- (pow (PI) 3) (pow (acos (neg (+ 1 (* -1 x)))) 3)) (+ (* (acos (neg (+ 1 (* -1 x)))) (+ (PI) (acos (neg (+ 1 (* -1 x)))))) (pow (PI) 2)))))
#s(approx (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) #s(hole binary64 (- (pow (PI) 3) (pow (acos (neg (+ 1 (* -1 x)))) 3))))
#s(approx (pow (acos (- x 1)) 3) #s(hole binary64 (pow (acos (neg (+ 1 (* -1 x)))) 3)))
#s(approx (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) #s(hole binary64 (+ (* (acos (neg (+ 1 (* -1 x)))) (+ (PI) (acos (neg (+ 1 (* -1 x)))))) (pow (PI) 2))))
#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (neg (+ 1 (* -1 x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	((+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (sqrt (PI)) 2)) (asin (- x 1))) (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (PI)) 2) 2 (asin (- x 1)) (- x 1) x 1 (- (PI) (- (PI) (acos (- 1 x)))) (- (PI) (acos (- 1 x))) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) -1 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1))))) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1)))) (neg (acos (- x 1))) (acos (- x 1)) (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (pow (acos (- x 1)) 3) 3 (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) (acos (- x 1)) (- x 1) (+ (acos (- x 1)) (PI)))
21.0ms	x	@	-inf	((+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (sqrt (PI)) 2)) (asin (- x 1))) (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (PI)) 2) 2 (asin (- x 1)) (- x 1) x 1 (- (PI) (- (PI) (acos (- 1 x)))) (- (PI) (acos (- 1 x))) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) -1 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1))))) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1)))) (neg (acos (- x 1))) (acos (- x 1)) (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (pow (acos (- x 1)) 3) 3 (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) (acos (- x 1)) (- x 1) (+ (acos (- x 1)) (PI)))
8.0ms	x	@	inf	((+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (sqrt (PI)) 2)) (asin (- x 1))) (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (PI)) 2) 2 (asin (- x 1)) (- x 1) x 1 (- (PI) (- (PI) (acos (- 1 x)))) (- (PI) (acos (- 1 x))) (acos (- 1 x)) (- 1 x) (acos (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) -1 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1))))) (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (neg (acos (- x 1)))) (neg (acos (- x 1))) (acos (- x 1)) (/ (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI)))) (- (* (* (PI) (PI)) (PI)) (pow (acos (- x 1)) 3)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (pow (acos (- x 1)) 3) 3 (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) (acos (- x 1)) (- x 1) (+ (acos (- x 1)) (PI)))

Time

Variable

Point

Expression

27.0ms

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

21.0ms

-inf

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

8.0ms

inf

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

rewrite153.0ms (6.4%)

Memory

23.4MiB live, 165.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	1081
0	227	775
1	834	743
0	4646	737

Stop Event

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

Counts

90 → 943

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (-.f64 (.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (PI.f64) (fma.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
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x
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#s(approx (neg (acos (- x 1))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
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#s(approx (+ (* (acos (- x 1)) (+ (acos (- x 1)) (PI))) (* (PI) (PI))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
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eval83.0ms (3.4%)

Memory: -18.6MiB live, 121.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 9 474 to 2 214 computations (76.6% saved)

prune42.0ms (1.8%)

Memory

27.5MiB live, 74.9MiB allocated; 1ms collecting garbage

Pruning

39 alts after pruning (28 fresh and 11 done)

	Pruned	Kept	Total
New	635	17	652
Fresh	6	11	17
Picked	1	4	5
Done	0	7	7
Total	642	39	681

Accuracy

10.0%

Counts

681 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
	9.7%	(fma.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
	9.7%	(fma.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.8%	(fma.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
✓	9.8%	(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.7%	(fma.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	9.7%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (PI.f64)))))
	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 (PI.f64) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))))
✓	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))
✓	4.5%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
	6.7%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 #s(approx (- x 1) x)))
	8.9%	(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (*.f64 (PI.f64) (PI.f64)))))
	8.9%	(/.f64 (fma.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (PI.f64) (.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))) (fma.f64 (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
	4.5%	(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
	3.7%	(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
	4.5%	(/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
	3.7%	(/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
	3.7%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
✓	5.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
	3.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (exp.f64 (.f64 (log.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 #s(approx (- x 1) #s(literal -1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
	9.6%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	9.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (PI.f64) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)))))
✓	9.7%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	7.5%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))
	4.5%	(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.3%	(-.f64 (PI.f64) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.3%	(-.f64 (PI.f64) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
✓	6.3%	(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.3%	(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
✓	6.3%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	3.8%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) x)))
	2.3%	(acos.f64 #s(approx (- 1 x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x))) x)))
	5.9%	(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
✓	4.3%	(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
	4.3%	(acos.f64 #s(approx (- 1 x) (.f64 #s(approx (- (/ 1 x) 1) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)))
✓	6.7%	(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
✓	3.8%	(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
	6.3%	#s(approx (- (/ (PI) 2) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (acos (- 1 x))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 1 507 to 764 computations (49.3% saved)

regimes51.0ms (2.1%)

Memory

-39.2MiB live, 63.3MiB allocated; 14ms collecting garbage

Counts

59 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(-.f64 #s(literal 1 binary64) x)
17.0ms	x
11.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.8%	1	`(-.f64 #s(literal 1 binary64) x)`
9.8%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
9.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes19.0ms (0.8%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes19.0ms (0.8%)

Memory

-18.1MiB live, 29.1MiB allocated; 2ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms	x
6.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
5.0ms	(-.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes15.0ms (0.6%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
8.8%	2	`x`
8.8%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
8.8%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.5%)

Memory

-28.0MiB live, 19.3MiB allocated; 1ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
8.8%	2	`x`
8.8%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
8.8%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.4%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
8.8%	2	`x`
8.8%	2	`(-.f64 #s(literal 1 binary64) x)`
8.8%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.4%)

Memory

-31.4MiB live, 15.9MiB allocated; 1ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
8.8%	2	`x`
8.8%	2	`(-.f64 #s(literal 1 binary64) x)`
8.8%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
8.8%	2	`x`
8.8%	2	`(-.f64 #s(literal 1 binary64) x)`
8.8%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.7%	1	`x`
6.7%	1	`(-.f64 #s(literal 1 binary64) x)`
6.7%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999992	1.0

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999992	1.0

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.942476676500724e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.942476676500724e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.942476676500724e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.942476676500724e-8

Compiler

Compiled 7 to 8 computations (-14.3% saved)

derivations82.0ms (3.4%)

Memory

-14.5MiB live, 81.8MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 87 to 46 computations (47.1% saved)

preprocess94.0ms (3.9%)

Memory: 3.7MiB live, 191.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 91 to 50 computations (45.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (50.9%)

preprocess76.0ms (3.2%)

series1.0ms (0.1%)

rewrite50.0ms (2.1%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

series4.0ms (0.2%)

rewrite63.0ms (2.6%)

eval21.0ms (0.9%)

prune20.0ms (0.8%)

series15.0ms (0.6%)

rewrite138.0ms (5.7%)

eval90.0ms (3.7%)

prune36.0ms (1.5%)

series58.0ms (2.4%)

rewrite153.0ms (6.4%)

eval83.0ms (3.4%)

prune42.0ms (1.8%)

regimes51.0ms (2.1%)

regimes19.0ms (0.8%)

regimes19.0ms (0.8%)

regimes15.0ms (0.6%)

regimes12.0ms (0.5%)

regimes10.0ms (0.4%)

regimes11.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations82.0ms (3.4%)

preprocess94.0ms (3.9%)

end0.0ms (0%)

Profiling