Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze37.0ms (0.7%)

Memory

-10.8MiB live, 34.4MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.0s (73.6%)

Memory

24.0MiB live, 2 849.0MiB allocated; 1.5s collecting garbage

Samples

2.2s	26 651×	0	invalid
632.0ms	5 607×	1	valid
165.0ms	2 649×	0	valid

Precisions

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

ival-sin: 572.0ms (37.2% of total)

ival-fabs: 233.0ms (15.2% of total)

adjust: 150.0ms (9.8% of total)

ival-mult!: 139.0ms (9.1% of total)

ival-<: 128.0ms (8.3% of total)

ival-add!: 126.0ms (8.2% of total)

ival-sub!: 113.0ms (7.4% of total)

ival-and: 62.0ms (4% of total)

ival-assert: 13.0ms (0.8% of total)

Bogosity

preprocess37.0ms (0.7%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	99	42
2	509	42
3	3308	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series19.0ms (0.3%)

Memory

-34.6MiB live, 10.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	488

Stop Event

1×	iter-limit

Counts

6 → 31

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

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

Calls

6 calls:

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

rewrite110.0ms (2%)

Memory

-1.2MiB live, 75.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	64	18
2	260	18
3	1483	18
0	4032	18

Stop Event

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

Counts

6 → 170

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

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

eval24.0ms (0.4%)

Memory: -22.9MiB live, 23.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 076 to 772 computations (81.1% saved)

prune7.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	190	7	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	190	8	198

Accuracy

100.0%

Counts

198 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
✓	62.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
▶	100.0%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
▶	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 225 to 176 computations (21.8% saved)

series40.0ms (0.7%)

Memory

1.1MiB live, 44.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	2252

Stop Event

1×	iter-limit

Counts

34 → 114

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
x
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(cos.f64 x)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(+.f64 (neg.f64 x) (PI.f64))
(neg.f64 x)
(PI.f64)

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 eps)) (.f64 #s(literal 1/6 binary64) (cos.f64 (PI.f64)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (PI.f64)))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (PI.f64))))))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (PI.f64))))))))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (PI.f64))))))))))
#s(approx (+ (neg x) (PI)) (PI.f64))
#s(approx (+ (neg x) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (-.f64 (PI.f64) x)))
#s(approx (+ (neg x) (PI)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (neg x) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 x) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* 1/2 (- eps 0))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 (-.f64 (PI.f64) x))))

Calls

6 calls:

Time	Variable	Point
5.0ms	eps	inf
4.0ms	x	inf
3.0ms	eps	0
3.0ms	x	0
3.0ms	x	-inf

rewrite132.0ms (2.4%)

Memory

27.6MiB live, 124.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	175
0	62	163
1	289	160
2	1153	154
0	4377	150

Stop Event

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

Counts

34 → 433

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
x
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(cos.f64 x)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(+.f64 (neg.f64 x) (PI.f64))
(neg.f64 x)
(PI.f64)

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

eval80.0ms (1.5%)

Memory: 8.8MiB live, 97.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 15 352 to 2 556 computations (83.4% saved)

prune16.0ms (0.3%)

Memory

-11.9MiB live, 32.6MiB allocated; 8ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	583	7	590
Fresh	2	0	2
Picked	4	1	5
Done	0	1	1
Total	589	9	598

Accuracy

100.0%

Counts

598 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
	30.3%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) x))) (.f64 (.f64 #s(literal -1/6 binary64) x) x)))))
	99.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	99.9%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
▶	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 305 to 231 computations (24.3% saved)

series39.0ms (0.7%)

Memory

6.7MiB live, 61.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	1994

Stop Event

1×	iter-limit

Counts

37 → 104

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#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 (* -1/2 (* eps (pow x 2))) (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (pow x 2)) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (+ 1 (* -1/24 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/24 (pow eps 2)) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow eps 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (+ 1 (* -1/24 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
10.0ms	eps	0
4.0ms	eps	-inf
4.0ms	eps	inf
3.0ms	x	inf
3.0ms	x	-inf

rewrite163.0ms (3%)

Memory

-32.2MiB live, 157.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	279
0	74	267
1	316	267
2	1290	253
0	4124	242

Stop Event

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

Counts

37 → 676

Calls

Call 1

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

Outputs
(.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(approx ( (sin (* 1/2 (- eps 0))) 2) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)) (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps)) eps)) eps)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) eps) eps)) eps)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))) eps)) eps)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) eps)) eps)
(.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (*.f64 eps eps)) eps))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))) (-.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)) (.f64 (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))) (-.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (neg.f64 eps) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps)) (.f64 (neg.f64 eps) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps)))) (+.f64 eps (.f64 (neg.f64 eps) (.f64 (*.f64 #s(literal -1/24 binary64) eps) eps))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) eps))) (+.f64 eps (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) eps)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))) (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))))) (+.f64 eps (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) eps))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (-.f64 (.f64 (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (.f64 (neg.f64 eps) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps)) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (.f64 (neg.f64 eps) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps)) (.f64 (neg.f64 eps) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps)) (.f64 eps (.f64 (neg.f64 eps) (.f64 (*.f64 #s(literal -1/24 binary64) eps) eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) eps) (.f64 eps (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))) (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))) (.f64 eps (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (*.f64 eps eps)))))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)))) (-.f64 eps (.f64 (.f64 eps #s(literal -1/24 binary64)) (*.f64 eps eps))))
(/.f64 (+.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps)) (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))) (.f64 eps (.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps))))))
(neg.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) (neg.f64 eps)))
(fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/24 binary64) eps) eps)
(fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/24 binary64) eps)
(fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps (.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps (.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 #s(literal -1/24 binary64) eps) eps) eps eps)
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) eps) eps)
(fma.f64 eps (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 eps (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(fma.f64 eps (.f64 (.f64 #s(literal -1/24 binary64) eps) eps) eps)
(-.f64 eps (.f64 (neg.f64 eps) (.f64 (*.f64 #s(literal -1/24 binary64) eps) eps)))
(-.f64 eps (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) eps))
(-.f64 eps (neg.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (*.f64 eps eps))))
(+.f64 (.f64 (.f64 eps #s(literal -1/24 binary64)) (*.f64 eps eps)) eps)
(+.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(+.f64 eps (.f64 (.f64 eps #s(literal -1/24 binary64)) (*.f64 eps eps)))
eps
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps))) (.f64 (*.f64 #s(literal -1/24 binary64) eps) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/24 binary64) eps) eps))) (.f64 (*.f64 #s(literal -1/24 binary64) eps) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal -1/24 binary64) eps) eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/24 binary64) eps) eps) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/24 binary64) eps) eps) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
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(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (+.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (.f64 eps eps) (.f64 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x (neg.f64 eps)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (.f64 (.f64 x x) x) (.f64 (.f64 eps eps) eps)) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps))))
(neg.f64 (-.f64 (neg.f64 eps) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (+.f64 x eps))) (+.f64 x eps) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) eps)) eps #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x #s(literal 0 binary64))
(-.f64 (+.f64 x eps) #s(literal 0 binary64))
(-.f64 x (neg.f64 eps))
(-.f64 eps (-.f64 #s(literal 0 binary64) x))
(-.f64 eps (neg.f64 x))
(+.f64 (+.f64 x eps) #s(literal 0 binary64))
(+.f64 x eps)
(+.f64 eps (+.f64 #s(literal 0 binary64) x))
(+.f64 eps x)
#s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/6 binary64)) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -1/6 binary64) x)) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/6 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/6 binary64)))) (+.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) x)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -1/6 binary64) x)))) (+.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)))) (+.f64 x (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/6 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/6 binary64)) (.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) x)) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/6 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (.f64 x (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(/.f64 (+.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (neg.f64 (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (+.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (.f64 x x)) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) x))))
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal -1/6 binary64) x)) (neg.f64 (neg.f64 x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) x)) (neg.f64 (neg.f64 x)))
(fma.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) x)) x)
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) (neg.f64 x))
(-.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) x)) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/6 binary64) x)))
(-.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x)))
(-.f64 x (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) x)
(+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(.f64 (.f64 x x) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.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 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(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)))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (neg.f64 (*.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)))

eval127.0ms (2.4%)

Memory: -43.3MiB live, 198.0MiB allocated; 86ms collecting garbage
Compiler: Compiled 25 535 to 4 055 computations (84.1% saved)

prune18.0ms (0.3%)

Memory

-2.0MiB live, 46.8MiB allocated; 8ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	775	5	780
Fresh	1	1	2
Picked	3	2	5
Done	0	2	2
Total	779	10	789

Accuracy

100.0%

Counts

789 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
▶	99.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.9%	(.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(approx ( (sin (* 1/2 (- eps 0))) 2) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)))
▶	99.9%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
✓	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
▶	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
▶	46.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps #s(approx (+ 1 ( -1/6 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))

Compiler

Compiled 331 to 253 computations (23.6% saved)

series32.0ms (0.6%)

Memory

14.5MiB live, 60.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	1760

Stop Event

1×	iter-limit

Counts

39 → 88

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (+ (* (* x x) (* -1/2 eps)) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (* x x) (* -1/2 eps)) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (+ (* (* -1/24 eps) eps) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/24 eps) eps) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/24 eps) (*.f64 #s(literal -1/24 binary64) eps))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* eps eps) eps) (pow.f64 eps #s(literal 3 binary64)))
#s(approx (* eps eps) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (+ (* (* x x) (* -1/2 eps)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (/ 1 (pow eps 2)) 1/6) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- (/ 1 (pow eps 2)) 1/6) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (+ (* (* -1/24 eps) eps) 1) eps) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (* -1/24 eps) eps) 1) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (+ (* (* -1/24 eps) eps) 1) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* (* -1/24 eps) eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ (* (* (* eps eps) eps) -1/6) eps) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (* (* eps eps) eps) -1/6) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (/ 1 (pow eps 2)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (/ 1 (pow eps 2)) 1/6) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))
#s(approx (sin (* 1/2 (- eps 0))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (+ (* (* -1/24 eps) eps) 1) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ (* (* (* eps eps) eps) -1/6) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* (* x x) (* -1/2 eps)) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
8.0ms	eps	-inf
4.0ms	eps	inf
3.0ms	eps	0
2.0ms	x	-inf
2.0ms	x	inf

rewrite179.0ms (3.3%)

Memory

15.8MiB live, 206.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	346
0	79	314
1	320	314
2	1251	304
0	4225	295

Stop Event

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

Counts

39 → 627

Calls

Call 1

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

Outputs
(.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))) (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64)))) (-.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 eps #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64))) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))) (-.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps)) (.f64 (.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) eps))) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps))) (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)) (.f64 (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (-.f64 (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64))) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 eps #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64)) (-.f64 (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))) (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (-.f64 (.f64 (.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (.f64 #s(literal 1 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps)) (.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (-.f64 (.f64 (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)))))))
(neg.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) (neg.f64 eps)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps (*.f64 #s(literal 1 binary64) eps))
(fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps (.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps (.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) eps))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 eps (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 eps #s(literal 1 binary64)))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps) (.f64 #s(literal 1 binary64) eps))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))) (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))) (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) eps)) eps) (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) eps)) eps))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) eps)) eps)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 eps) (.f64 #s(literal -1/24 binary64) eps)) (.f64 (neg.f64 eps) (.f64 #s(literal -1/24 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 eps) (.f64 #s(literal -1/24 binary64) eps))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (neg.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) eps)) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) eps)) eps) (.f64 (neg.f64 (.f64 #s(literal -1/24 binary64) eps)) eps) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) eps)) eps)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 eps eps))))))
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(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))
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eval94.0ms (1.7%)

Memory: -22.6MiB live, 207.4MiB allocated; 33ms collecting garbage
Compiler: Compiled 26 505 to 3 739 computations (85.9% saved)

prune13.0ms (0.2%)

Memory

37.5MiB live, 37.5MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	764	3	767
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	766	11	777

Accuracy

100.0%

Counts

777 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
	99.9%	(.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(approx ( (sin (* 1/2 (- eps 0))) 2) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)))
✓	99.9%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.7%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 #s(approx (+ ( (* -1/24 eps) eps) 1) #s(literal 1 binary64)) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
✓	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
✓	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
	42.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps #s(approx (+ 1 ( -1/6 (pow eps 2))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))))
	46.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps #s(approx (+ 1 ( -1/6 (pow eps 2))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))))))

Compiler

Compiled 230 to 177 computations (23% saved)

regimes117.0ms (2.2%)

Memory

-7.4MiB live, 186.9MiB allocated; 17ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 1

7 → 1

10 → 1

13 → 1

14 → 1

21 → 1

23 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))

Call 3

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

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

Call 4

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))

Call 5

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

Outputs

(*.f64 #s(approx (* (sin (* 1/2 (- eps 0))) 2) (*.f64 #s(approx (+ (* (* -1/24 eps) eps) 1) #s(literal 1 binary64)) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))

Call 6

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

Outputs
(.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(approx ( (sin (* 1/2 (- eps 0))) 2) (fma.f64 (.f64 eps #s(literal -1/24 binary64)) (.f64 eps eps) eps)))

Call 7

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

Outputs

(*.f64 #s(approx (* (sin (* 1/2 (- eps 0))) 2) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1 binary64)) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))

Call 8

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

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

Calls

24 calls:

27.0ms	x
7.0ms	x
6.0ms	eps
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.5%	1	`x`
98.5%	1	`eps`
98.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
99.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 544 to 237 computations (56.4% saved)

derivations75.0ms (1.4%)

Memory

-39.3MiB live, 65.6MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 159 to 68 computations (57.2% saved)

preprocess69.0ms (1.3%)

Memory: 30.1MiB live, 170.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 207 to 107 computations (48.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze37.0ms (0.7%)

sample4.0s (73.6%)

preprocess37.0ms (0.7%)

series19.0ms (0.3%)

rewrite110.0ms (2%)

eval24.0ms (0.4%)

prune7.0ms (0.1%)

series40.0ms (0.7%)

rewrite132.0ms (2.4%)

eval80.0ms (1.5%)

prune16.0ms (0.3%)

series39.0ms (0.7%)

rewrite163.0ms (3%)

eval127.0ms (2.4%)

prune18.0ms (0.3%)

series32.0ms (0.6%)

rewrite179.0ms (3.3%)

eval94.0ms (1.7%)

prune13.0ms (0.2%)

regimes117.0ms (2.2%)

derivations75.0ms (1.4%)

preprocess69.0ms (1.3%)

end0.0ms (0%)

Profiling