Metrics for tanhf (example 3.4)

start0.0ms (0.0%)

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

analyze89.0ms (3.9%)

Memory

-4.1MiB live, 29.6MiB allocated; 2ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.5s (66.3%)

Memory

15.1MiB live, 269.5MiB allocated; 27ms collecting garbage

Samples

510.0ms	2 211×	2	valid
397.0ms	4 148×	0	valid
246.0ms	714×	3	valid
104.0ms	1 178×	1	valid
5.0ms	5×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 665.0ms (62.3% of total, 36.8 MiB)

ival-sin: 161.0ms (15.1% of total, 25.8 MiB)

adjust: 128.0ms (12.0% of total, 14.8 MiB)

ival-div!: 64.0ms (6.0% of total, 9.0 MiB)

ival-sub!: 48.0ms (4.5% of total, 8.7 MiB)

Bogosity

preprocess31.0ms (1.4%)

Memory

-2.9MiB live, 7.0MiB allocated; 1ms 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
▶	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series14.0ms (0.6%)

Memory

-0.2MiB live, 7.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	302

Stop Event

1×	iter-limit

Counts

6 → 21

Calls

Call 1

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

Outputs
#s(approx 1 #s(literal 0 binary64))
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	0
1.0ms	x	inf
0.0ms	x	-inf

rewrite151.0ms (6.7%)

Memory

1.7MiB live, 62.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 130

Calls

Call 1

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

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

eval12.0ms (0.5%)

Memory: 4.2MiB live, 11.6MiB allocated; 1ms collecting garbage
Compiler: Compiled 2 208 to 542 computations (75.5% saved)

prune2.0ms (0.1%)

Memory

-4.7MiB live, 3.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	2	147

Accuracy

100.0%

Counts

147 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	49.6%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 7 to 4 computations (42.9% saved)

series5.0ms (0.2%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	111

Stop Event

1×	iter-limit

Counts

5 → 8

Calls

Call 1

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

Outputs
#s(approx x #s(literal 0 binary64))
#s(approx x x)
#s(approx (* 1/2 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)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#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))))

Calls

3 calls:

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

rewrite105.0ms (4.6%)

Memory

-3.3MiB live, 40.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
0	12	17
1	61	17
2	278	17
3	1485	17
0	4004	17

Stop Event

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

Counts

5 → 72

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: -1.1MiB live, 6.4MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 034 to 215 computations (79.2% saved)

prune2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	87	4	91

Accuracy

100.0%

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
▶	4.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64))))
✓	49.6%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series5.0ms (0.2%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	106

Stop Event

1×	iter-limit

Counts

11 → 8

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx x #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64))))

Outputs
#s(approx 1 #s(literal 0 binary64))
#s(approx x x)
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 1 (/ 2 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)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite114.0ms (5.0%)

Memory

-3.7MiB live, 42.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	18	37
1	80	37
2	330	37
3	1721	37
0	4300	37

Stop Event

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

Counts

11 → 105

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx x #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64))))

Outputs
#s(literal 1 binary64)
x
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(approx x #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx x #s(literal 0 binary64)))
#s(approx x #s(literal 0 binary64))
(/.f64 (*.f64 #s(approx x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx x #s(literal 0 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) #s(approx x #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(approx x #s(literal 0 binary64)) #s(literal -1 binary64)))
(+.f64 #s(approx x #s(literal 0 binary64)) (*.f64 #s(approx x #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 #s(approx x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) #s(approx x #s(literal 0 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 x x))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) x)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 x x) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #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 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 (.f64 #s(literal -1/2 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 #s(literal -1 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(.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 (neg.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 x x) #s(literal 4 binary64))
(/.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 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 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)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(approx x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx x #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx x #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx x #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx x #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 #s(approx x #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(approx x #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx x #s(literal 0 binary64))))
(neg.f64 (/.f64 #s(approx x #s(literal 0 binary64)) #s(literal -2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx x #s(literal 0 binary64)) #s(literal 1/2 binary64)))

eval8.0ms (0.3%)

Memory: -1.8MiB live, 7.7MiB allocated; 1ms collecting garbage
Compiler: Compiled 783 to 232 computations (70.4% saved)

prune2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	103	5	108

Accuracy

100.0%

Counts

108 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶	28.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
✓	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	4.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64))))
✓	49.6%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series6.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	128

Stop Event

1×	iter-limit

Counts

7 → 10

Calls

Call 1

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

Outputs
#s(approx 1 #s(literal 0 binary64))
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ x x) (* x x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 1 (/ (+ x x) (* x 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)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))

Calls

3 calls:

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

rewrite139.0ms (6.1%)

Memory

-2.8MiB live, 51.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	15	34
1	96	34
2	468	22
3	2992	22
0	5443	22

Stop Event

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

Counts

7 → 300

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
x
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
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(.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 #s(literal 1/2 binary64) (.f64 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 (.f64 x x) 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))
(*.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 (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) x))
(.f64 (/.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) (+.f64 x x)))
(.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fabs.f64 x) (.f64 #s(literal -2 binary64) 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) (/.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 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 x 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))
(.f64 (.f64 x x) (/.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) (neg.f64 x)) x)
(/.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x)) x)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) x)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x x))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (+.f64 x x))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x x) x) #s(literal 2 binary64))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) x))
(/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) (+.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 x) x) (.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 (fabs.f64 x) (/.f64 (+.f64 x x) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.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 (+.f64 x x) #s(literal 4 binary64))
(/.f64 (.f64 x x) (+.f64 (/.f64 (.f64 x x) x) x))
(/.f64 (*.f64 x x) (+.f64 x x))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.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 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (*.f64 #s(literal -1/2 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)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

eval21.0ms (0.9%)

Memory: -1.3MiB live, 22.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 678 to 827 computations (77.5% saved)

prune7.0ms (0.3%)

Memory

0.9MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	295	9	304
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	296	13	309

Accuracy

100.0%

Counts

309 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
	28.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x x)))
	28.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	28.9%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
	19.7%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x x)) (.f64 x x)) (.f64 x x))))
✓	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
	27.4%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	28.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))))
	28.3%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) x) x)) (*.f64 x x)))
	28.8%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
	49.5%	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x)))
✓	4.2%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64))))
✓	49.6%	#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 111 to 39 computations (64.9% saved)

regimes19.0ms (0.8%)

Memory

-3.7MiB live, 13.7MiB allocated; 1ms collecting garbage

Counts

13 → 1

15 → 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 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) x) x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x x)) (.f64 x x)) (.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))

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

Call 2

Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) #s(approx x #s(literal 0 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) x) x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x x)) (.f64 x x)) (.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) 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

4 calls:

4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
4.0ms	x
4.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
49.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
49.6%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
100.0%	1	`x`

Compiler

Compiled 143 to 59 computations (58.7% saved)

derivations11.0ms (0.5%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 7 to 4 computations (42.9% saved)

preprocess12.0ms (0.5%)

Memory: 3.8MiB live, 11.2MiB allocated; 1ms collecting garbage
Compiler: Compiled 28 to 24 computations (14.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze89.0ms (3.9%)

sample1.5s (66.3%)

preprocess31.0ms (1.4%)

series14.0ms (0.6%)

rewrite151.0ms (6.7%)

eval12.0ms (0.5%)

prune2.0ms (0.1%)

series5.0ms (0.2%)

rewrite105.0ms (4.6%)

eval6.0ms (0.3%)

prune2.0ms (0.1%)

series5.0ms (0.2%)

rewrite114.0ms (5.0%)

eval8.0ms (0.3%)

prune2.0ms (0.1%)

series6.0ms (0.2%)

rewrite139.0ms (6.1%)

eval21.0ms (0.9%)

prune7.0ms (0.3%)

regimes19.0ms (0.8%)

derivations11.0ms (0.5%)

preprocess12.0ms (0.5%)

end0.0ms (0.0%)

Profiling