Metrics for tanhf (example 3.4)

start0.0ms (0.0%)

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

analyze154.0ms (4.4%)

Memory

-10.8MiB live, 160.4MiB allocated; 183ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	2
25.0%	25.0%	75.0%	0.0%	0.0%	0.0%	0.0%	3
37.5%	37.5%	62.5%	0.0%	0.0%	0.0%	0.0%	4
43.8%	43.7%	56.2%	0.0%	0.0%	0.0%	0.0%	5
46.9%	46.9%	53.1%	0.0%	0.0%	0.0%	0.0%	6
48.4%	48.4%	51.5%	0.0%	0.0%	0.0%	0.0%	7
49.2%	49.2%	50.8%	0.0%	0.0%	0.0%	0.0%	8
49.6%	49.6%	50.4%	0.0%	0.0%	0.0%	0.0%	9
49.8%	49.8%	50.2%	0.0%	0.0%	0.0%	0.0%	10
49.9%	49.9%	50.1%	0.0%	0.0%	0.0%	0.0%	11
50.0%	49.9%	50.0%	0.0%	0.0%	0.0%	0.0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.0s (57.5%)

Memory

50.8MiB live, 1 836.6MiB allocated; 853ms collecting garbage

Samples

567.0ms	2 220×	2	valid
480.0ms	4 196×	0	valid
379.0ms	1 137×	1	valid
331.0ms	701×	3	valid
2.0ms	2×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 804.0ms (53.0% of total)

adjust: 396.0ms (26.1% of total)

ival-sin: 170.0ms (11.2% of total)

ival-div!: 102.0ms (6.7% of total)

ival-sub!: 46.0ms (3.0% of total)

Bogosity

preprocess40.0ms (1.1%)

Memory

22.5MiB live, 68.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	55	12
2	245	12
3	1493	12

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series19.0ms (0.6%)

Memory

-19.3MiB live, 25.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	299

Stop Event

1×	iter-limit

Counts

6 → 20

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(cos.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))

Calls

3 calls:

Time	Variable	Point
10.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite209.0ms (6.0%)

Memory

-9.8MiB live, 280.0MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	14
1	53	14
2	236	14
3	1284	14
0	5677	14

Stop Event

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

Counts

6 → 151

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(cos.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
#s(literal 1 binary64)
x
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (sin.f64 x)))) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (cos.f64 x)))
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (PI.f64)))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 x))) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 (.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x))))))
(/.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))

eval22.0ms (0.6%)

Memory: 0.2MiB live, 141.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 444 to 607 computations (75.2% saved)

prune5.0ms (0.1%)

Memory

37.9MiB live, 37.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	5	167

Accuracy

100.0%

Counts

167 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
▶	99.2%	(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
▶	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
▶	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 68 to 60 computations (11.8% saved)

sample3.0ms (0.1%)

Memory

-49.4MiB live, 3.0MiB allocated; 4ms collecting garbage

Calls

Call 1

Inputs
1/2
1/24
2
1
1
(- 1 1)

Outputs
#s(literal 1/2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 7 computations (30.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series19.0ms (0.5%)

Memory

22.0MiB live, 67.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	560

Stop Event

1×	iter-limit

Counts

21 → 38

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 1/2 binary64) x)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/24 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))

Outputs
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (* 1/2 x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan (* 1/2 x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan (* 1/2 x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/24 (pow x 2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (cos x) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (cos x) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (+ (cos x) 1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (cos x) 1)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 1 (+ (cos x) 1)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 17/5760 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1/2 (* 1/24 (pow x 2)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/2 (* 1/24 (pow x 2)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (cos x) 1) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ 1 (+ (cos x) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (sin x) (/ 1 (+ (cos x) 1))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))

Calls

3 calls:

Time	Variable	Point
7.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0

rewrite219.0ms (6.3%)

Memory

14.8MiB live, 284.4MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	106
0	38	95
1	172	95
2	645	95
3	2621	95
0	5195	92

Stop Event

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

Counts

21 → 529

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 1/2 binary64) x)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/24 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))

Outputs
#s(literal 1/2 binary64)
x
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 (neg.f64 (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 (.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (+.f64 (neg.f64 (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (neg.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (tan.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x))))))
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)))
(neg.f64 (.f64 #s(literal -1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(neg.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(tan.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/24 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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(.f64 (.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x))
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(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(tan.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))

eval43.0ms (1.2%)

Memory: 21.1MiB live, 74.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 864 to 1 529 computations (77.7% saved)

prune15.0ms (0.4%)

Memory

-21.9MiB live, 23.5MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	479	4	483
Fresh	0	0	0
Picked	5	0	5
Done	-3	3	0
Total	481	7	488

Accuracy

100.0%

Counts

488 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
✓	99.2%	(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64))))
▶	49.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
▶	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 58 to 48 computations (17.2% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/24
1/2
1
2
1
(- 1 1)
-1/6

Outputs
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series13.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	525

Stop Event

1×	iter-limit

Counts

25 → 35

Calls

Call 1

Inputs
x
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 x x) x)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))

Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/24) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 1/24) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ 1 (* -1/6 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0

rewrite230.0ms (6.6%)

Memory

-0.8MiB live, 336.6MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	45	142
1	220	136
2	850	136
3	3614	136
0	6100	132

Stop Event

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

Counts

25 → 717

Calls

Call 1

Inputs
x
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 x x) x)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))

Outputs
x
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (-.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (/.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(+.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))

eval54.0ms (1.5%)

Memory: 14.3MiB live, 103.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 9 403 to 1 964 computations (79.1% saved)

prune19.0ms (0.5%)

Memory

-16.6MiB live, 29.2MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	553	3	556
Fresh	0	0	0
Picked	4	0	4
Done	-3	6	3
Total	554	9	563

Accuracy

100.0%

Counts

563 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
✓	99.2%	(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64))))
▶	28.0%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
✓	49.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
▶	45.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))

Compiler

Compiled 75 to 61 computations (18.7% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
-1
1
1
(- 1 1)
-1/6

Outputs
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 7 computations (30.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series60.0ms (1.7%)

Memory

-26.6MiB live, 72.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	447

Stop Event

1×	iter-limit

Counts

21 → 31

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(/.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 x x)
(*.f64 x x)
(/.f64 (+.f64 x x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 (.f64 x x) x)
#s(literal -1/6 binary64)
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))

Outputs
#s(approx x x)
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (log (/ 2 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
#s(approx (* (log (/ 2 x)) -1) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x)))))
#s(approx (exp (* (log (/ 2 x)) -1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (log (/ 2 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (log (/ 2 x)) -1) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))

Calls

3 calls:

Time	Variable	Point
34.0ms	x	0
8.0ms	x	-inf
8.0ms	x	inf

rewrite150.0ms (4.3%)

Memory

16.1MiB live, 202.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	38	101
1	182	100
2	789	91
0	4264	91

Stop Event

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

Counts

21 → 1 148

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(/.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 x x)
(*.f64 x x)
(/.f64 (+.f64 x x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 (.f64 x x) x)
#s(literal -1/6 binary64)
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))

Outputs
#s(literal 2 binary64)
x
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -2 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(.f64 (+.f64 (/.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(*.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (.f64 x x) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
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(/.f64 (+.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)))) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)))) (.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x))))
(/.f64 (neg.f64 (-.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)))) (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x)))))))
(/.f64 (-.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (cos x) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (-.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(fma.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(-.f64 (/.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)))) (/.f64 (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (cos x) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x)))))
(-.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x))))
(+.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x))))

eval106.0ms (3.0%)

Memory: -1.1MiB live, 298.5MiB allocated; 83ms collecting garbage
Compiler: Compiled 12 737 to 2 867 computations (77.5% saved)

prune30.0ms (0.8%)

Memory

4.1MiB live, 52.2MiB allocated; 6ms collecting garbage

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	751	18	769
Fresh	0	0	0
Picked	3	0	3
Done	0	6	6
Total	754	24	778

Accuracy

100.0%

Counts

778 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.0%	(/.f64 #s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
	4.2%	(/.f64 #s(literal 0 binary64) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
✓	99.2%	(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64))))
	45.0%	#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
	27.4%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	12.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) (+.f64 x x))))
	28.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x))
	28.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
	28.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
	0.0%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))))
	26.0%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))
✓	49.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
	28.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
	49.4%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x)))
	49.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
✓	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
	26.4%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x x) (.f64 x x))) #s(literal -1 binary64))))
	45.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
	25.4%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
	45.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 232 to 180 computations (22.4% saved)

regimes41.0ms (1.2%)

Memory

23.7MiB live, 68.6MiB allocated; 5ms collecting garbage

Counts

28 → 1

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 0 binary64) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) (+.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x x) (.f64 x x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))

Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Call 2

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 0 binary64) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) (+.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x x) (.f64 x x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))

Outputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))

Calls

4 calls:

13.0ms	x
7.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
49.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
49.5%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
100.0%	1	`x`

Compiler

Compiled 319 to 137 computations (57.1% saved)

derivations17.0ms (0.5%)

Memory

-41.3MiB live, 4.2MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 8 to 5 computations (37.5% saved)

preprocess16.0ms (0.5%)

Memory: 34.0MiB live, 34.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 35 to 31 computations (11.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze154.0ms (4.4%)

sample2.0s (57.5%)

preprocess40.0ms (1.1%)

sample0.0ms (0.0%)

series19.0ms (0.6%)

rewrite209.0ms (6.0%)

eval22.0ms (0.6%)

prune5.0ms (0.1%)

sample3.0ms (0.1%)

series19.0ms (0.5%)

rewrite219.0ms (6.3%)

eval43.0ms (1.2%)

prune15.0ms (0.4%)

sample0.0ms (0.0%)

series13.0ms (0.4%)

rewrite230.0ms (6.6%)

eval54.0ms (1.5%)

prune19.0ms (0.5%)

sample0.0ms (0.0%)

series60.0ms (1.7%)

rewrite150.0ms (4.3%)

eval106.0ms (3.0%)

prune30.0ms (0.8%)

regimes41.0ms (1.2%)

derivations17.0ms (0.5%)

preprocess16.0ms (0.5%)

end0.0ms (0.0%)

Profiling