Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	49.6%	50.4%	0.0%	0.0%	0.0%	0
0.0%	0.0%	49.6%	50.4%	0.0%	0.0%	0.0%	1
0.0%	0.0%	49.6%	50.4%	0.0%	0.0%	0.0%	2
50.0%	24.8%	24.8%	50.4%	0.0%	0.0%	0.0%	3
75.0%	37.2%	12.4%	50.4%	0.0%	0.0%	0.0%	4
87.5%	43.4%	6.2%	50.4%	0.0%	0.0%	0.0%	5
93.8%	46.5%	3.1%	50.4%	0.0%	0.0%	0.0%	6
96.9%	48.1%	1.6%	50.4%	0.0%	0.0%	0.0%	7
98.4%	48.8%	0.8%	50.4%	0.0%	0.0%	0.0%	8
99.2%	49.2%	0.4%	50.4%	0.0%	0.0%	0.0%	9
99.6%	49.4%	0.2%	50.4%	0.0%	0.0%	0.0%	10
99.8%	49.5%	0.1%	50.4%	0.0%	0.0%	0.0%	11
99.9%	49.6%	0.0%	50.4%	0.0%	0.0%	0.0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.2s (72.0%)

Memory

50.2MiB live, 2 910.0MiB allocated; 761ms collecting garbage

Samples

1.5s	5 878×	2	valid
201.0ms	2 370×	1	valid
0.0ms	8×	0	valid

Precisions

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

ival-cos: 1.1s (77.9% of total)

adjust: 208.0ms (14.2% of total)

ival-sub!: 116.0ms (7.9% of total)

ival-assert: 0.0ms (0.0% of total)

ival-and: 0.0ms (0.0% of total)

ival-<=: 0.0ms (0.0% of total)

Bogosity

preprocess26.0ms (0.9%)

Memory

-13.1MiB live, 32.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	29	12
2	122	12
3	582	12

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series9.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	145

Stop Event

1×	iter-limit

Counts

4 → 11

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	0
0.0ms	x	inf
0.0ms	x	-inf

rewrite232.0ms (7.8%)

Memory

-18.0MiB live, 178.9MiB allocated; 157ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	38	8
2	150	8
3	743	8
0	4102	8

Stop Event

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

Counts

4 → 201

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
x
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)))) (.f64 (sin.f64 x) #s(literal 0 binary64)))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (sin.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (cos.f64 x)))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)))))
(sin.f64 (neg.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64)) (PI.f64)))
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (PI.f64)))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 0 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 x))) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (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 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) (*.f64 (neg.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 #s(literal 0 binary64) (sin.f64 (fabs.f64 x))))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 x))))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(-.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (.f64 (sin.f64 (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (.f64 (sin.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)))
(-.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 (neg.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) (neg.f64 (sin.f64 x))))
(-.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)) (neg.f64 (.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal -1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(cos.f64 (neg.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (neg.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (fabs.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (fabs.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (fabs.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (PI.f64))))
(cos.f64 (fabs.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64))))
(cos.f64 (fabs.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64))))
(cos.f64 (fabs.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(cos.f64 (fabs.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (+.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64)))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (fabs.f64 x) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 (-.f64 (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64)) x)) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 (+.f64 (neg.f64 x) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 (+.f64 (fabs.f64 x) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 (fabs.f64 x)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
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(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (-.f64 x (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (+.f64 (PI.f64) x) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.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)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal 0 binary64))) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #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)))

eval18.0ms (0.6%)

Memory: 33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 653 to 767 computations (79.0% saved)

prune7.0ms (0.2%)

Memory

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

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	206	4	210

Accuracy

100.0%

Counts

210 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶	48.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#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))))))
▶	99.7%	#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
2
-1/24
1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series7.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	251

Stop Event

1×	iter-limit

Counts

14 → 18

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/2 (pow x 2)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (* -1/24 (pow x 2)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* -1/24 (pow x 2))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/24 (pow x 2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ 1/2 (* -1/24 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#s(approx (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#s(approx (cos x) (cos.f64 x))

Calls

3 calls:

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

rewrite186.0ms (6.2%)

Memory

-21.8MiB live, 212.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	22	72
1	108	72
2	385	72
3	1408	72
0	4072	69

Stop Event

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

Counts

14 → 158

Calls

Call 1

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

Outputs
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x))
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eval31.0ms (1.0%)

Memory: -5.3MiB live, 39.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 899 to 760 computations (80.5% saved)

prune5.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	0	0
Picked	3	0	3
Done	0	1	1
Total	198	3	201

Accuracy

100.0%

Counts

201 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
▶	99.7%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))

Status

Accuracy

Program

✓

48.1%

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

▶

100.0%

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

▶

99.7%

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

Compiler

Compiled 31 to 23 computations (25.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
-1/24

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series7.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	197

Stop Event

1×	iter-limit

Counts

10 → 14

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* 1/2 x) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/24 (* x x)) 1/2) (+.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 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite143.0ms (4.8%)

Memory

0.3MiB live, 190.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
0	19	55
1	82	55
2	282	55
3	1339	55
0	4130	55

Stop Event

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

Counts

10 → 187

Calls

Call 1

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

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

eval20.0ms (0.7%)

Memory: 5.3MiB live, 59.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 118 to 772 computations (81.3% saved)

prune7.0ms (0.2%)

Memory

-29.4MiB live, 16.9MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	2	0	2
Done	-2	3	1
Total	195	3	198

Accuracy

100.0%

Counts

198 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))

Status

Accuracy

Program

✓

48.1%

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

✓

100.0%

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

✓

99.7%

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

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes15.0ms (0.5%)

Memory

12.3MiB live, 59.0MiB allocated; 1ms collecting garbage

Counts

1 → 1

2 → 1

6 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
48.1%	1	`(cos.f64 x)`
48.1%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
48.1%	1	`x`
99.7%	1	`(cos.f64 x)`
99.7%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.7%	1	`x`
100.0%	1	`(cos.f64 x)`
100.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
100.0%	1	`x`

Compiler

Compiled 82 to 47 computations (42.7% saved)

derivations87.0ms (2.9%)

Memory

1.7MiB live, 48.5MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 31 to 16 computations (48.4% saved)

preprocess31.0ms (1.1%)

Memory: -14.1MiB live, 41.7MiB allocated; 18ms collecting garbage
Compiler: Compiled 107 to 73 computations (31.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample2.2s (72.0%)

preprocess26.0ms (0.9%)

sample0.0ms (0.0%)

series9.0ms (0.3%)

rewrite232.0ms (7.8%)

eval18.0ms (0.6%)

prune7.0ms (0.2%)

sample0.0ms (0.0%)

series7.0ms (0.2%)

rewrite186.0ms (6.2%)

eval31.0ms (1.0%)

prune5.0ms (0.2%)

sample0.0ms (0.0%)

series7.0ms (0.2%)

rewrite143.0ms (4.8%)

eval20.0ms (0.7%)

prune7.0ms (0.2%)

regimes15.0ms (0.5%)

derivations87.0ms (2.9%)

preprocess31.0ms (1.1%)

end0.0ms (0.0%)

Profiling