Metrics for tanhf (example 3.4)

start0.0ms (0%)

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

analyze201.0ms (2.8%)

Memory

-17.3MiB live, 122.6MiB allocated; 29ms 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)

sample2.1s (28.6%)

Memory

70.7MiB live, 1 360.2MiB allocated; 351ms collecting garbage

Samples

736.0ms	2 244×	2	valid
598.0ms	4 144×	0	valid
325.0ms	699×	3	valid
137.0ms	1 163×	1	valid
11.0ms	6×	4	valid

Precisions

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

ival-cos: 973.0ms (64% of total)

ival-sin: 233.0ms (15.3% of total)

adjust: 176.0ms (11.6% of total)

ival-div!: 82.0ms (5.4% of total)

ival-sub!: 56.0ms (3.7% of total)

Bogosity

preprocess67.0ms (0.9%)

Memory

-45.4MiB live, 34.1MiB allocated; 38ms 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
▶	55.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Symmetry

(negabs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series96.0ms (1.3%)

Memory

26.0MiB live, 71.5MiB allocated; 13ms collecting garbage

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))

rewrite861.0ms (11.9%)

Memory

30.2MiB live, 401.7MiB allocated; 83ms collecting garbage

Counts

6 → 164

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

eval21.0ms (0.3%)

Memory: -23.7MiB live, 21.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 217 to 580 computations (52.3% saved)

prune6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	174	4	178
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	4	179

Accuracy

100.0%

Counts

179 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
▶	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
▶	47.9%	#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))))))
▶	48.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 34 to 34 computations (0% saved)

series112.0ms (1.6%)

Memory

-7.3MiB live, 38.4MiB allocated; 6ms collecting garbage

Counts

18 → 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 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.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 (/ x 2)) (/.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 (/ x 2)) (/ x 2) (/ (- 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 (/ x 2)) (/ x 2) (/ (- 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 (/ x 2)) (/ x 2) (/ (- 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 (/ x 2)) (/ x 2) (/ (- 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 (/ x 2)) (/ x 2) (/ (- 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 (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))

rewrite952.0ms (13.1%)

Memory

-13.1MiB live, 424.2MiB allocated; 279ms collecting garbage

Counts

18 → 251

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 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.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 (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(+.f64 x (*.f64 #s(literal 0 binary64) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(/.f64 (+.f64 x x) #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64)))
(neg.f64 (neg.f64 x))
#s(approx (tan (/ x 2)) (.f64 x (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x)
(+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)))))
(-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (neg.f64 (.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (neg.f64 #s(literal 1/2 binary64)) x))
(-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x x) (.f64 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))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x))) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.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 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x)))))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x)))))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) (.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)))))
(neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) x))
(+.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 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (neg.f64 (neg.f64 #s(literal 1/2 binary64))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (neg.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #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 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal 1/24 binary64)) (neg.f64 (neg.f64 #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) (neg.f64 x)) (neg.f64 x) (neg.f64 (neg.f64 #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) (fabs.f64 x)) (fabs.f64 x) (neg.f64 (neg.f64 #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (*.f64 x #s(literal 1/24 binary64))) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal 1/24 binary64))) (neg.f64 x) (neg.f64 (neg.f64 #s(literal 1/2 binary64))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
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eval36.0ms (0.5%)

Memory: 35.9MiB live, 35.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 203 to 1 145 computations (48% saved)

prune16.0ms (0.2%)

Memory

-36.5MiB live, 10.3MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	322	3	325
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	324	5	329

Accuracy

100.0%

Counts

329 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.3%	(/.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 x #s(literal 2 binary64)))
▶	47.9%	#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)))
▶	47.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))
✓	48.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 52 to 52 computations (0% saved)

series130.0ms (1.8%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Counts

23 → 35

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
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 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(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(literal 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 (+ (* (* x 1/24) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x 1/24) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x 1/24) (*.f64 #s(literal 1/24 binary64) x))
#s(approx x x)
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (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 (* -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 (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (* (+ (* (* x 1/24) x) 1/2) x) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x 1/24) x) 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 1/24) x) 1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x 1/24) x) 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 (+ 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
4.0ms	x	@	inf	((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x 1/24) x) 1/2) x) (+ (* (* x 1/24) x) 1/2) (* x 1/24) x 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* x x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (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) 2)
3.0ms	x	@	-inf	((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x 1/24) x) 1/2) x) (+ (* (* x 1/24) x) 1/2) (* x 1/24) x 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* x x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (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) 2)
2.0ms	x	@	0	((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x 1/24) x) 1/2) x) (+ (* (* x 1/24) x) 1/2) (* x 1/24) x 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* x x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (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) 2)

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite891.0ms (12.3%)

Memory

25.6MiB live, 481.1MiB allocated; 122ms collecting garbage

Counts

23 → 380

Calls

Call 1

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

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

eval95.0ms (1.3%)

Memory: -14.3MiB live, 87.7MiB allocated; 65ms collecting garbage
Compiler: Compiled 2 895 to 1 646 computations (43.1% saved)

prune14.0ms (0.2%)

Memory

-25.1MiB live, 20.1MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	353	5	358

Accuracy

100.0%

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	47.9%	#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)))
✓	47.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))
✓	48.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 50 to 50 computations (0% saved)

series102.0ms (1.4%)

Memory

32.6MiB live, 77.6MiB allocated; 9ms collecting garbage

Counts

10 → 25

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)
1.0ms	x	@	inf	((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)
1.0ms	x	@	0	((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)

1.0ms

inf

((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)

1.0ms

((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)

rewrite1.4s (18.9%)

Memory

-121.4MiB live, 570.8MiB allocated; 1.2s collecting garbage

Counts

10 → 92

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (sin.f64 x)) (sin.f64 (neg.f64 x)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (exp.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(cosh.f64 (neg.f64 #s(literal 0 binary64)))
(cosh.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 0 binary64))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1 binary64))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)
(+.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) x)
(+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)))
(+.f64 x (.f64 (neg.f64 (neg.f64 #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x)))
(-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) (neg.f64 x))
(-.f64 x (neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x))))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 x) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 (.f64 x x)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) x) x)
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x x)
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x)) (neg.f64 x) x)
(fma.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) x) x)
(fma.f64 (fabs.f64 x) (.f64 (.f64 x #s(literal -1/6 binary64)) (fabs.f64 x)) x)
(fma.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x)) x)
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 x x))) (neg.f64 x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (fabs.f64 x) x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 x #s(literal -1/6 binary64))) x)
(neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x))) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(.f64 (.f64 (fabs.f64 x) x) (fabs.f64 x))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (neg.f64 x) (neg.f64 (.f64 x x)))
(.f64 (.f64 x (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) x))
(neg.f64 (neg.f64 (.f64 (.f64 x x) x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x (+.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
#s(literal -1/6 binary64)

eval11.0ms (0.2%)

Memory: 20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 860 to 523 computations (39.2% saved)

prune36.0ms (0.5%)

Memory

-61.2MiB live, 10.0MiB allocated; 13ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	104	6	110

Accuracy

100.0%

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
	25.2%	(/.f64 #s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	47.9%	#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)))
✓	47.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))
✓	48.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 126 to 110 computations (12.7% saved)

regimes7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB 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))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (fma.f64 (.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(tan.f64 (/.f64 x #s(literal 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
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)

regimes38.0ms (0.5%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Accuracy

Total -28.9b remaining (-87.3%)

Threshold costs -28.9b (-87.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
48.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
48.2%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations1.0ms (0%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 12 to 12 computations (0% saved)

preprocess114.0ms (1.6%)

Memory: -6.8MiB live, 39.2MiB allocated; 7ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 48 to 48 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze201.0ms (2.8%)

sample2.1s (28.6%)

preprocess67.0ms (0.9%)

series96.0ms (1.3%)

rewrite861.0ms (11.9%)

eval21.0ms (0.3%)

prune6.0ms (0.1%)

series112.0ms (1.6%)

rewrite952.0ms (13.1%)

eval36.0ms (0.5%)

prune16.0ms (0.2%)

series130.0ms (1.8%)

rewrite891.0ms (12.3%)

eval95.0ms (1.3%)

prune14.0ms (0.2%)

series102.0ms (1.4%)

rewrite1.4s (18.9%)

eval11.0ms (0.2%)

prune36.0ms (0.5%)

regimes7.0ms (0.1%)

regimes38.0ms (0.5%)

derivations1.0ms (0%)

preprocess114.0ms (1.6%)

end0.0ms (0%)

Profiling