Metrics for tanhf (example 3.4)

start0.0ms (0%)

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

analyze135.0ms (2.5%)

Memory

-35.9MiB live, 72.8MiB allocated; 41ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample3.0s (55.9%)

Memory

-298.5MiB live, 2 624.1MiB allocated; 1.7s collecting garbage

Samples

1.2s	4 189×	0	valid
652.0ms	2 189×	2	valid
431.0ms	692×	3	valid
278.0ms	1 182×	1	valid
4.0ms	4×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-cos: 1.1s (46.9% of total)

ival-sub!: 642.0ms (28.5% of total)

adjust: 292.0ms (13% of total)

ival-sin: 180.0ms (8% of total)

ival-div!: 83.0ms (3.7% of total)

Bogosity

preprocess42.0ms (0.8%)

Memory

4.7MiB live, 52.1MiB allocated; 9ms 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
▶	53.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Symmetry

(negabs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series10.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms 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
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))
1.0ms	x	@	0	((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))
1.0ms	x	@	-inf	((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))

rewrite266.0ms (5%)

Memory

-13.9MiB live, 398.6MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	14
1	53	14
2	240	14
3	1294	14
0	8553	14

Stop Event

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

Counts

6 → 153

Calls

Call 1

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

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

eval21.0ms (0.4%)

Memory: 5.7MiB live, 49.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 452 to 621 computations (57.2% saved)

prune4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	4	168

Accuracy

100.0%

Counts

168 → 4

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))
▶	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	50.1%	#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))))))
▶	50.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 34 to 34 computations (0% saved)

series11.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	414

Stop Event

1×	iter-limit

Counts

17 → 28

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))
2.0ms	x	@	inf	((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))
2.0ms	x	@	0	((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))

2.0ms

inf

((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))

2.0ms

((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))

rewrite335.0ms (6.3%)

Memory

-36.8MiB live, 357.1MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	85
0	30	79
1	139	79
2	567	79
3	2367	79
0	9359	76

Stop Event

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

Counts

17 → 284

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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))))))
(.f64 x (+.f64 #s(literal 1/2 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 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/24 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#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))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.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 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.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))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#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))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x))) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x) (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 1/2 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 1/2 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -2 binary64) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x))) (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))))
(neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x))
(neg.f64 (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) x))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (.f64 (*.f64 x x) #s(literal 1/24 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 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 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 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.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 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(neg.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 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))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal -1/24 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/24 binary64) x))
(neg.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)))
#s(literal 1/24 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)))
#s(literal 2 binary64)
(*.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 #s(literal -1 binary64) (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.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) (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 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)) (PI.f64))))
(/.f64 (+.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (tan.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (+.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (tan.f64 (neg.f64 (neg.f64 (PI.f64))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (neg.f64 (neg.f64 (PI.f64)))))))
(/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 x)) (+.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.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 (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 (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)))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 #s(approx (cos x) #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))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #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))))))
(neg.f64 (*.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 0 binary64))
(-.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
(*.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 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (+.f64 (PI.f64) x) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (PI.f64) x)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.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 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
(cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (PI.f64) x)))

eval38.0ms (0.7%)

Memory: -4.8MiB live, 92.0MiB allocated; 19ms collecting garbage
Compiler: Compiled 2 696 to 1 067 computations (60.4% saved)

prune9.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	304	5	309
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	306	7	313

Accuracy

100.0%

Counts

313 → 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)))))))
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	50.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶	50.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
▶	50.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
▶	49.6%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
✓	50.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 155 to 147 computations (5.2% saved)

series23.0ms (0.4%)

Memory

-34.0MiB live, 56.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	640

Stop Event

1×	iter-limit

Counts

33 → 42

Calls

Call 1

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

Outputs
#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 (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx x x)
#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) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 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 (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 (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 (* -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 (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64))
#s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (* x x) 1/24) (* (* x x) 1/24)) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) 1/24) (*.f64 #s(literal 1/24 binary64) (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 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#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 (+ (* (* 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 (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#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 (+ 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 x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 (+ 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	Expression
6.0ms	x	@	0	((/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 x (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* (* x x) 1/24) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2))
4.0ms	x	@	inf	((/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 x (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* (* x x) 1/24) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2))
4.0ms	x	@	-inf	((/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 x (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* (* x x) 1/24) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2))

Time

Variable

Point

Expression

6.0ms

((/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 x (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* (* x x) 1/24) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2))

4.0ms

inf

((/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 x (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* (* x x) 1/24) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2))

4.0ms

-inf

((/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 x (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* (* x x) 1/24) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2))

rewrite380.0ms (7.1%)

Memory

36.1MiB live, 462.1MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	273
0	60	231
1	292	215
2	1183	215
3	5685	215
0	8215	182

Stop Event

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

Counts

33 → 1 558

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -4 binary64))
(/.f64 (+.f64 x x) #s(literal 4 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
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(.f64 #s(literal -1/24 binary64) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) x)) x))
(.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 #s(literal 1/576 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)) #s(literal 1/24 binary64))
(.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x))
(.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) (pow.f64 #s(literal -1/24 binary64) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) (pow.f64 #s(literal 1/24 binary64) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/576 binary64))
(.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/576 binary64)))
(.f64 (neg.f64 x) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) #s(literal 1/576 binary64)) (.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (.f64 (.f64 (fabs.f64 x) x) x) #s(literal 1/576 binary64)))
(.f64 (fabs.f64 x) (fabs.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/576 binary64)) (.f64 x x))))
(.f64 (fabs.f64 x) (fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/576 binary64)) (.f64 x x))))
(.f64 (fabs.f64 x) (fabs.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x)))
(.f64 (fabs.f64 x) (.f64 (.f64 (fabs.f64 x) #s(literal 1/576 binary64)) (.f64 x x)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/24 binary64) x))
(.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 1/576 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/576 binary64) (.f64 x x)))
(.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/576 binary64)))
(.f64 x (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(.f64 x (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) x)) x))
(pow.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -2 binary64)))
(neg.f64 (.f64 #s(literal -1/576 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x) (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) x)) x)))
(fabs.f64 (.f64 #s(literal -1/576 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(fabs.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (fabs.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64))) (fabs.f64 x))
(.f64 (sqrt.f64 #s(literal 1/576 binary64)) (.f64 x x))
(.f64 (sqrt.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x)) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64))) (sqrt.f64 #s(literal 1/24 binary64)))
(.f64 (sqrt.f64 #s(literal 1/24 binary64)) (sqrt.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/576 binary64)) (.f64 x x))))
(.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/576 binary64)) (.f64 x x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal -1/24 binary64) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 (neg.f64 x) x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/24 binary64)))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(.f64 (neg.f64 x) (.f64 #s(literal -1/24 binary64) x))
(.f64 (fabs.f64 x) (fabs.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/24 binary64)))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x x) (sqrt.f64 #s(literal 1/576 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 x (neg.f64 (.f64 #s(literal -1/24 binary64) x)))
(.f64 x (.f64 #s(literal 1/24 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(pow.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x) #s(literal 1/2 binary64))
(neg.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x))
(fabs.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(fabs.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(literal 1/4 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 1/576 binary64) (.f64 (.f64 x x) 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) (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) 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))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x) (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x) (-.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(neg.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64))) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/576 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x)) (sqrt.f64 (.f64 #s(literal 1/24 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64))) (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/576 binary64)) (*.f64 x x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/576 binary64)) (*.f64 x x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 #s(literal 1/576 binary64) (*.f64 x x)) x)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/576 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 x (neg.f64 (*.f64 #s(literal -1/24 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64))

eval169.0ms (3.2%)

Memory: -0.5MiB live, 309.8MiB allocated; 123ms collecting garbage
Compiler: Compiled 11 284 to 4 370 computations (61.3% saved)

prune32.0ms (0.6%)

Memory

2.0MiB live, 58.2MiB allocated; 17ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 061	4	1 065
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1 063	9	1 072

Accuracy

100.0%

Counts

1 072 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	50.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶	26.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
✓	50.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	50.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
▶	49.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)))))
▶	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
✓	50.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
▶	45.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))

Compiler

Compiled 124 to 120 computations (3.2% saved)

series57.0ms (1.1%)

Memory

22.4MiB live, 113.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	464

Stop Event

1×	iter-limit

Counts

31 → 26

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.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)))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 (+.f64 x x) (*.f64 x x))
(+.f64 x x)

Outputs
#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 (* (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 (log (/ 2 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) #s(literal 1/2 binary64))
#s(approx (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* 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) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64))
#s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
#s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* x x) 1/24) 1/2) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/24) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* (* x x) 1/24) (* (* x x) 1/24)) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 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 (log (/ 2 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (.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 (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* 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) (* (* x x) 1/24)) (* 1/2 1/2)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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)))))))

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) -1/4 (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2) -1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ (+ x x) (* x x))) 1 (/ (+ x x) (* x x)) (+ x x))
12.0ms	x	@	-inf	((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) -1/4 (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2) -1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ (+ x x) (* x x))) 1 (/ (+ x x) (* x x)) (+ x x))
9.0ms	x	@	inf	((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) -1/4 (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2) -1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ (+ x x) (* x x))) 1 (/ (+ x x) (* x x)) (+ x x))

Time

Variable

Point

Expression

30.0ms

((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) -1/4 (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2) -1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ (+ x x) (* x x))) 1 (/ (+ x x) (* x x)) (+ x x))

12.0ms

-inf

((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) -1/4 (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2) -1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ (+ x x) (* x x))) 1 (/ (+ x x) (* x x)) (+ x x))

9.0ms

inf

((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) -1/4 (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (* x (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2))) (/ (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (- (* (* x x) 1/24) 1/2)) (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2) (- (* (* x x) 1/24) 1/2) -1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ (+ x x) (* x x))) 1 (/ (+ x x) (* x x)) (+ x x))

rewrite281.0ms (5.3%)

Memory

-4.2MiB live, 348.4MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	305
0	60	241
1	235	222
2	1015	213
3	5691	213
0	8358	197

Stop Event

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

Counts

31 → 1 518

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.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)))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 (+.f64 x x) (*.f64 x x))
(+.f64 x x)

Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (fabs.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) x) x)) (*.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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 (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 (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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 x) #s(literal -2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) x))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) x) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (neg.f64 x) 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 1/2 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 (pow.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(.f64 (copysign.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
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(/.f64 (/.f64 (+.f64 x x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) (.f64 (neg.f64 x) (copysign.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 x) (fabs.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) x) (neg.f64 x) (.f64 (fabs.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) (fabs.f64 x)))
(/.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) x) (fabs.f64 x) (.f64 (fabs.f64 x) (copysign.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (copysign.f64 #s(literal 1 binary64) x) x (.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 (fabs.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (.f64 x (copysign.f64 #s(literal 1 binary64) x))) (.f64 (fabs.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (neg.f64 x) (fabs.f64 x) (.f64 (.f64 (neg.f64 x) x) (copysign.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (neg.f64 x) x) (fabs.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (fabs.f64 x) x (.f64 (.f64 x x) (copysign.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (fabs.f64 x) x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x #s(literal 1 binary64))) (.f64 x x))
(/.f64 (fma.f64 x x (.f64 x x)) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x)) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 (copysign.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (fabs.f64 x))) (.f64 (*.f64 (fabs.f64 x) x) x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) x))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (+.f64 x x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 x x))) (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x))
(/.f64 (+.f64 (/.f64 (.f64 x x) x) x) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (+.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 (neg.f64 x) x))
(/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 x)))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 (+.f64 x x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.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 -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (.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)))
(fabs.f64 (/.f64 #s(literal -2 binary64) x))
(fabs.f64 (/.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (/.f64 (.f64 x x) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.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 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.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 -2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) (+.f64 x x)) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (.f64 (.f64 x x) (+.f64 x x)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x)))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x) (.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(-.f64 x (neg.f64 x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(+.f64 (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(+.f64 x x)

eval198.0ms (3.7%)

Memory: 4.2MiB live, 189.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 12 831 to 4 947 computations (61.4% saved)

prune111.0ms (2.1%)

Memory

-27.1MiB live, 65.1MiB allocated; 6ms collecting garbage

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1 165	27	1 192
Fresh	0	0	0
Picked	4	0	4
Done	0	5	5
Total	1 169	32	1 201

Accuracy

100.0%

Counts

1 201 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	50.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
	45.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
	26.8%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
	50.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 #s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) x))))
	18.0%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x x)) (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x)))) (.f64 x x))))
	25.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 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))))))
	24.8%	#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))))))
✓	50.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	50.1%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
	49.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/4 binary64)) #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))) x))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x))
	26.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
	50.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x)))
	50.0%	#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))))
	50.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))))
	49.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/4 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64))) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))))
	0.0%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/576 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)))))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x))) #s(literal 1/2 binary64)))))
	0.0%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
	50.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
	24.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
✓	50.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
	45.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal -1 binary64))))
	45.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
	45.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 922 to 784 computations (15% saved)

regimes23.0ms (0.4%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

41 → 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 #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 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 #s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 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 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/4 binary64)) #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#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(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x))) #s(literal 1/2 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(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/576 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64))) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1/2 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)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/4 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x x)) (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x)))) (.f64 x 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))

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

Calls

2 calls:

10.0ms	x
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes22.0ms (0.4%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

39 → 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 #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 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 #s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 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 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/4 binary64)) #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#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(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x))) #s(literal 1/2 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(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/576 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64))) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1/2 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)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/4 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x x)) (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x)))) (.f64 x 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 (/.f64 #s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x))

Calls

2 calls:

10.0ms	x
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
50.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
50.7%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

11 → 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 #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 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (/.f64 #s(approx (- ( (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))))

Outputs

#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (/.f64 #s(approx (- (* (* (* x x) 1/24) (* (* x x) 1/24)) (* 1/2 1/2)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
50.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
50.7%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes30.0ms (0.6%)

Memory

-45.6MiB live, 8.4MiB allocated; 3ms collecting garbage

Accuracy

Total -15.4b remaining (-48.6%)

Threshold costs -15.4b (-48.6%)

Counts

10 → 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 #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 #s(literal 1/2 binary64) x)))

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

Calls

2 calls:

26.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
50.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
50.3%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations109.0ms (2%)

Memory

3.9MiB live, 93.7MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 46 to 31 computations (32.6% saved)

preprocess44.0ms (0.8%)

Memory: 42.1MiB live, 139.2MiB allocated; 10ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 178 to 155 computations (12.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze135.0ms (2.5%)

sample3.0s (55.9%)

preprocess42.0ms (0.8%)

series10.0ms (0.2%)

rewrite266.0ms (5%)

eval21.0ms (0.4%)

prune4.0ms (0.1%)

series11.0ms (0.2%)

rewrite335.0ms (6.3%)

eval38.0ms (0.7%)

prune9.0ms (0.2%)

series23.0ms (0.4%)

rewrite380.0ms (7.1%)

eval169.0ms (3.2%)

prune32.0ms (0.6%)

series57.0ms (1.1%)

rewrite281.0ms (5.3%)

eval198.0ms (3.7%)

prune111.0ms (2.1%)

regimes23.0ms (0.4%)

regimes22.0ms (0.4%)

regimes7.0ms (0.1%)

regimes30.0ms (0.6%)

derivations109.0ms (2%)

preprocess44.0ms (0.8%)

end0.0ms (0%)

Profiling