Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze46.0ms (0.3%)

Memory

7.7MiB live, 106.2MiB allocated; 8ms 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)

sample8.8s (64.6%)

Memory

34.2MiB live, 6 782.2MiB allocated; 2.4s collecting garbage

Samples

3.3s	25 815×	0	invalid
3.2s	5 738×	2	valid
550.0ms	2 447×	1	valid
9.0ms	71×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-cos: 2.9s (50.2% of total)

const: 645.0ms (11.3% of total)

adjust: 470.0ms (8.3% of total)

ival-add: 321.0ms (5.6% of total)

ival-mult: 269.0ms (4.7% of total)

ival-<=: 266.0ms (4.7% of total)

ival-sub: 246.0ms (4.3% of total)

ival-fabs: 243.0ms (4.3% of total)

ival-<: 211.0ms (3.7% of total)

ival-and: 105.0ms (1.8% of total)

exact: 44.0ms (0.8% of total)

ival-assert: 12.0ms (0.2% of total)

Bogosity

explain231.0ms (1.7%)

Memory

-24.6MiB live, 106.6MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
141	-	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`(cos.f64 x)`
0	-	-	`(cos.f64 (+.f64 x eps))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	141	0

Confusion

	Predicted +	Predicted -
+	141	1
-	0	114

Precision

1.0

Recall

0.9929577464788732

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	1	0
-	0	0	114

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	115
1	141

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

138.0ms	356×	2	valid
19.0ms	154×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-cos: 88.0ms (65.1% of total)

adjust: 37.0ms (27.4% of total)

ival-sub: 6.0ms (4.4% of total)

ival-add: 4.0ms (3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess279.0ms (2.1%)

Memory

-30.2MiB live, 116.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	46	41
2	86	41
3	117	41
4	125	41
5	147	41
6	231	41
7	792	41
8	5144	41
0	6	7
0	10	7
1	22	7
2	40	7
3	65	7
4	78	7
5	100	7
6	184	7
7	742	7
8	5073	7
0	8505	7

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify178.0ms (1.3%)

Memory

-3.5MiB live, 88.4MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	22	18
2	40	18
3	65	18
4	78	18
5	100	18
6	184	18
7	742	18
8	5073	18
0	8505	18

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(cos.f64 x)

localize83.0ms (0.6%)

Memory

16.6MiB live, 63.3MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(cos.f64 x)
accuracy	0.010966230164287516	(cos.f64 (+.f64 x eps))
accuracy	31.793636259835875	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

66.0ms	178×	2	valid
10.0ms	77×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-cos: 47.0ms (72.9% of total)

adjust: 12.0ms (18.6% of total)

ival-sub: 3.0ms (4.7% of total)

ival-add: 2.0ms (3.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

4 → 33

Calls

Call 1

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

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
0.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))

simplify177.0ms (1.3%)

Memory

16.4MiB live, 158.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	296
1	308	293
2	814	293
3	2685	292
4	6556	292
0	8099	272

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 eps) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 eps)) x (sin.f64 eps)) (neg.f64 x) (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x) (sin.f64 eps)) x (cos.f64 eps))
eps
(+ eps x)
(+.f64 eps x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(cos x)
(cos.f64 x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps (cos.f64 x))
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)

rewrite201.0ms (1.5%)

Memory

-35.8MiB live, 104.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	62	16
2	615	16
0	8141	16

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

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

eval19.0ms (0.1%)

Memory: 16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 780 to 712 computations (85.1% saved)

prune9.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	151	10	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	11	162

Accuracy

99.8%

Counts

162 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	50.3%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	50.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	49.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	49.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	79.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	51.0%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
▶	49.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
▶	79.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 365 to 246 computations (32.6% saved)

simplify130.0ms (1%)

Memory

-16.8MiB live, 72.6MiB allocated; 10ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
cost-diff	3	(/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	5	(+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
cost-diff	12	(-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
cost-diff	0	(*.f64 (cos.f64 x) eps)
cost-diff	0	(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
cost-diff	0	(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(neg.f64 eps)
cost-diff	0	(*.f64 (neg.f64 eps) (sin.f64 x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x))
cost-diff	0	(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
cost-diff	1	(fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	412
0	75	400
1	142	340
2	358	332
3	1139	316
4	7860	316
0	8043	310

Stop Event

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

Calls

Call 1

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

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

localize421.0ms (3.1%)

Memory

20.8MiB live, 302.7MiB allocated; 61ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
accuracy	0.15234375	(*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
accuracy	59.61200058568603	(-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
accuracy	59.80435589045094	(cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
accuracy	0.0	(cos.f64 x)
accuracy	0.0078125	(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
accuracy	0.14453125	(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
accuracy	0.0	(sin.f64 x)
accuracy	0.0	(neg.f64 eps)
accuracy	0.0078125	(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy	13.33173264648414	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
accuracy	0.0	(cos.f64 eps)
accuracy	30.928363504963883	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
accuracy	31.428997652220268	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
accuracy	0.12439871388375309	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
accuracy	0.1484375	(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
accuracy	0.3359375	(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
accuracy	0.34765625	(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))

Samples

287.0ms	180×	2	valid
86.0ms	75×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 378 to 44 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-cos: 100.0ms (30.4% of total)

adjust: 83.0ms (25.3% of total)

const: 48.0ms (14.6% of total)

ival-mult: 44.0ms (13.4% of total)

ival-add: 18.0ms (5.5% of total)

ival-sub: 11.0ms (3.3% of total)

ival-div: 10.0ms (3% of total)

ival-sin: 9.0ms (2.7% of total)

ival-pi: 2.0ms (0.6% of total)

ival-neg: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

25 → 157

Calls

Call 1

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

Outputs
(- (* 1/24 (pow eps 2)) 1/2)
(- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)
(- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)
(- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ eps (PI))
(+ eps (+ (PI) (* 2 x)))
(* 1/2 (+ eps (PI)))
(+ x (* 1/2 (+ eps (PI))))
(* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))
(+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))
(* 1/24 eps)
(+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))
(+ (* 1/24 eps) (* 1/6 x))
(+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))
(+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos (* 1/2 (+ eps (PI))))
(+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))
(+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))
(+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))
(* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))
(+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
(- (cos (+ eps x)) (cos x))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))
(* -1 (* eps (sin x)))
(sin x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(* 2 x)
(* x (+ 2 (+ (/ eps x) (/ (PI) x))))
(* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))
(* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))
(* 1/24 (* eps (cos x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(cos x)
(cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))
(* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))
(* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))
(* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))
(cos (* 1/2 (- (+ eps (PI)) (* -2 x))))
(* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* -1/2 (cos x))
(+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 eps)
(+ (PI) (* 2 x))
(* 1/2 (+ (PI) (* 2 x)))
(+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))
(* eps (cos (* 1/2 (+ (PI) (* 2 x)))))
(* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))
(* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))
(* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
(* 1/6 (sin x))
(cos (* 1/2 (+ (PI) (* 2 x))))
(+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))
(+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))
(+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))
(* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))
(* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))
(* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))
(* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))
(* 1/24 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
(cos eps)
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))
(* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))
(* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))
(* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))
(* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (* 2 (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)))) (* (* (cos x) eps) 1/24) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (cos x) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (+ (/ (PI) 2) x))
6.0ms	x	@	inf	((+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (* 2 (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)))) (* (* (cos x) eps) 1/24) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (cos x) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (+ (/ (PI) 2) x))
5.0ms	eps	@	0	((+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (* 2 (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)))) (* (* (cos x) eps) 1/24) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (cos x) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (+ (/ (PI) 2) x))
5.0ms	eps	@	inf	((+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (* 2 (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)))) (* (* (cos x) eps) 1/24) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (cos x) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (+ (/ (PI) 2) x))
5.0ms	x	@	0	((+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (* 2 (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)))) (* (* (cos x) eps) 1/24) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (cos x) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (* (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (+ (/ (PI) 2) x))

simplify147.0ms (1.1%)

Memory

14.5MiB live, 58.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	2569
1	1992	2458
2	7806	2445
0	8089	2233

Stop Event

1×	iter limit
1×	node limit

Counts

157 → 155

Calls

Call 1

Inputs
(- (* 1/24 (pow eps 2)) 1/2)
(- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)
(- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)
(- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ eps (PI))
(+ eps (+ (PI) (* 2 x)))
(* 1/2 (+ eps (PI)))
(+ x (* 1/2 (+ eps (PI))))
(* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))
(+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))
(* 1/24 eps)
(+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))
(+ (* 1/24 eps) (* 1/6 x))
(+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))
(+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos (* 1/2 (+ eps (PI))))
(+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))
(+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))
(+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))
(* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))
(+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
(- (cos (+ eps x)) (cos x))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))
(* -1 (* eps (sin x)))
(sin x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(* 2 x)
(* x (+ 2 (+ (/ eps x) (/ (PI) x))))
(* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))
(* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))
(* 1/24 (* eps (cos x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(cos x)
(cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))
(* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))
(* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))
(* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))
(cos (* 1/2 (- (+ eps (PI)) (* -2 x))))
(* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* -1/2 (cos x))
(+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 eps)
(+ (PI) (* 2 x))
(* 1/2 (+ (PI) (* 2 x)))
(+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))
(* eps (cos (* 1/2 (+ (PI) (* 2 x)))))
(* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))
(* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))
(* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
(* 1/6 (sin x))
(cos (* 1/2 (+ (PI) (* 2 x))))
(+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))
(+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))
(+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))
(* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))
(* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))
(* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))
(* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))
(* 1/24 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
(cos eps)
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))
(* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))
(* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))
(* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))
(* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))

Outputs
(- (* 1/24 (pow eps 2)) 1/2)
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)
(fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64))) x (.f64 #s(literal 1/6 binary64) eps)) x (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
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(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps)
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) eps) x))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
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(* eps (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
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(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 x) eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
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x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
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(* -1/2 (pow eps 2))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
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(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
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(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
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eps
(+ eps (* -1/2 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) eps eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
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(+ eps (PI))
(+.f64 (PI.f64) eps)
(+ eps (+ (PI) (* 2 x)))
(fma.f64 #s(literal 2 binary64) x (+.f64 (PI.f64) eps))
(* 1/2 (+ eps (PI)))
(*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))
(+ x (* 1/2 (+ eps (PI))))
(fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)
(* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal -1/2 binary64))))
(+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
(.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal -1/2 binary64))))))
(+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))
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(+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))
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(* 1/24 eps)
(*.f64 #s(literal 1/24 binary64) eps)
(+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (*.f64 #s(literal 1/24 binary64) eps))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) x) x (*.f64 #s(literal 1/24 binary64) eps))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))
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(+ (* 1/24 eps) (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
(+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) x #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps))
(+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(cos (* 1/2 (+ eps (PI))))
(cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal -1/2 binary64)))
(+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))
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(+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))
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(* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))
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(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))
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(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+ x (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
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(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))
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(* -1 (* eps (sin x)))
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(sin x)
(sin.f64 x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
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(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (/ eps x) (/ (PI) x))))
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rewrite91.0ms (0.7%)

Memory

-15.0MiB live, 31.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	321
0	75	297
1	302	257
0	2818	253

Stop Event

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

Counts

25 → 281

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) eps) #s(literal -1/2 binary64)) (cos.f64 x)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) eps))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal -1/2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) eps))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))) eps))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) #s(literal 2 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) (.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal -1/2 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
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(.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)
(.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x))
(.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)))
(.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (neg.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 1/24 binary64)) (*.f64 eps (cos.f64 x))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (neg.f64 (.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (neg.f64 (.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (.f64 eps (cos.f64 x))))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))))
(-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))
(-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) eps)))
(-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (neg.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)))
(-.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64)))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64))) (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (/.f64 (+.f64 (+.f64 #s(literal 0 binary64) eps) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) eps) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64)))) (sin.f64 (+.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (/.f64 (+.f64 (+.f64 #s(literal 0 binary64) eps) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) eps) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 (/.f64 (sin.f64 (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) eps) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (sin.f64 (/.f64 (+.f64 (+.f64 #s(literal 0 binary64) eps) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))

eval90.0ms (0.7%)

Memory: 5.9MiB live, 55.9MiB allocated; 18ms collecting garbage
Compiler: Compiled 21 555 to 2 809 computations (87% saved)

prune22.0ms (0.2%)

Memory

-20.1MiB live, 28.0MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	506	17	523
Fresh	3	2	5
Picked	4	1	5
Done	0	1	1
Total	513	21	534

Accuracy

100.0%

Counts

534 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	50.3%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	50.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	51.0%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)))))
	51.0%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 #s(approx (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
	10.4%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
▶	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
	49.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	79.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
	50.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
	79.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
▶	78.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 1 174 to 754 computations (35.8% saved)

simplify125.0ms (0.9%)

Memory

-8.7MiB live, 37.5MiB allocated; 2ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
cost-diff	0	(fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
cost-diff	0	#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps)))
cost-diff	0	(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
cost-diff	2	(fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) eps)
cost-diff	0	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
cost-diff	0	(*.f64 eps (cos.f64 x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
cost-diff	3	(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	396
0	81	396
1	163	389
2	412	382
3	1070	382
4	2546	382
5	7139	382
0	8009	379

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))
#s(literal 1/2 binary64)
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(neg.f64 eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
(fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(neg.f64 x)
x
eps
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
#s(literal -1/2 binary64)
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
#s(literal -1/4 binary64)
eps
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
eps
#s(literal 1/2 binary64)
(sin.f64 x)
(neg.f64 eps)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
eps
(cos.f64 x)
x
(neg.f64 eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (*.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (neg.f64 eps))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (*.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (neg.f64 eps)))
(fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (neg.f64 eps))
(neg.f64 x)
x
eps
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
#s(literal -1/4 binary64)
eps
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(.f64 (fma.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (neg.f64 eps))
(fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x))
(fma.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
eps
#s(literal 1/2 binary64)
(sin.f64 x)
(neg.f64 eps)

localize249.0ms (1.8%)

Memory

-1.1MiB live, 94.4MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x))
accuracy	0.140625	(.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
accuracy	0.36561744942116153	#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.21875	(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
accuracy	0.3359375	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.3698373865810514	#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps)))
accuracy	0.0	(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
accuracy	0.0	(neg.f64 x)
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
accuracy	0.5982110468152129	#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
accuracy	0.0	(*.f64 (neg.f64 x) eps)
accuracy	0.0	(neg.f64 x)
accuracy	0.5999778335084056	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
accuracy	12.944676905397861	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
accuracy	0.0	(cos.f64 x)
accuracy	0.0078125	(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy	0.1796875	(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))

Samples

167.0ms	177×	2	valid
41.0ms	75×	1	valid
4.0ms	3×	5	exit
0.0ms	1×	0	valid

Compiler

Compiled 240 to 40 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

adjust: 47.0ms (27.8% of total)

ival-mult: 47.0ms (27.8% of total)

ival-cos: 44.0ms (26% of total)

ival-add: 16.0ms (9.5% of total)

const: 7.0ms (4.1% of total)

ival-sub: 3.0ms (1.8% of total)

ival-sin: 3.0ms (1.8% of total)

ival-neg: 2.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

25 → 71

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
(.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
(fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(cos.f64 x)
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Outputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* 1/2 eps)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 x)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/6 x)
(* -1/4 eps)
(+ (* -1/4 eps) (* -1/6 x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(* 1/2 (* eps (cos x)))
(* eps (cos x))
(* -1 (* eps (sin x)))
(* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(cos x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 x) (* -1/2 eps)))
(sin x)
(* x (+ 1 (* -1/6 (pow x 2))))
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(* eps (- (* -1/6 (/ x eps)) 1/4))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* eps (cos x)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (neg x) eps) (* -1/2 (* eps eps))) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (neg eps) (sin x)) (cos x) (* -1/2 (* eps eps)) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (cos x))
3.0ms	eps	@	inf	((+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* eps (cos x)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (neg x) eps) (* -1/2 (* eps eps))) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (neg eps) (sin x)) (cos x) (* -1/2 (* eps eps)) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (cos x))
3.0ms	x	@	inf	((+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* eps (cos x)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (neg x) eps) (* -1/2 (* eps eps))) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (neg eps) (sin x)) (cos x) (* -1/2 (* eps eps)) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (cos x))
3.0ms	eps	@	-inf	((+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* eps (cos x)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (neg x) eps) (* -1/2 (* eps eps))) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (neg eps) (sin x)) (cos x) (* -1/2 (* eps eps)) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (cos x))
3.0ms	eps	@	0	((+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* eps (cos x)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (neg x) eps) (* -1/2 (* eps eps))) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (neg eps) (sin x)) (cos x) (* -1/2 (* eps eps)) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (cos x))

simplify134.0ms (1%)

Memory

24.5MiB live, 106.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	856
1	915	816
2	3372	788
0	8166	728

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

Calls

Call 1

Inputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* 1/2 eps)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 x)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/6 x)
(* -1/4 eps)
(+ (* -1/4 eps) (* -1/6 x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(* 1/2 (* eps (cos x)))
(* eps (cos x))
(* -1 (* eps (sin x)))
(* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(cos x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 x) (* -1/2 eps)))
(sin x)
(* x (+ 1 (* -1/6 (pow x 2))))
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(* eps (- (* -1/6 (/ x eps)) 1/4))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))

Outputs
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps)
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(.f64 eps (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))) (.f64 x x) eps)
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) x)
(* -1 x)
(neg.f64 x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/4 eps)
(*.f64 #s(literal -1/4 binary64) eps)
(+ (* -1/4 eps) (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal -1/4 binary64) eps))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* 1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))
(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) (neg.f64 eps)) x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(+ (sin x) (* 1/2 (* eps (cos x))))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(*.f64 (-.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(cos x)
(cos.f64 x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/4 binary64)) #s(literal 1/6 binary64)) x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) (neg.f64 eps)) x)
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64)) x)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (+ (* -1 x) (* -1/2 eps)))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps)
(sin x)
(sin.f64 x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) eps) eps)
(* (pow eps 2) (- (* -1 (/ x eps)) 1/2))
(.f64 (.f64 (-.f64 (/.f64 x (neg.f64 eps)) #s(literal 1/2 binary64)) eps) eps)
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)) eps)
(* eps (- (* -1/6 (/ x eps)) 1/4))
(.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 eps))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(.f64 (-.f64 (.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64)) (neg.f64 eps))
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) eps)

rewrite191.0ms (1.4%)

Memory

-39.3MiB live, 110.1MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	341
0	81	341
1	295	334
2	2306	334
0	8126	324

Stop Event

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

Counts

25 → 214

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
(.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
(fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(cos.f64 x)
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Outputs
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps (sin.f64 x))) eps)
(.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps (sin.f64 x)) (neg.f64 eps))
(.f64 (neg.f64 eps) (fma.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps (sin.f64 x)))
(/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64))))) (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 eps)) (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) (sin.f64 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 eps)) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps)) (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 eps) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) (sin.f64 x)))
(/.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps)) (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (sin.f64 x) eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (.f64 (neg.f64 eps) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) (sin.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64) (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (.f64 (neg.f64 eps) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps) (sin.f64 x))))
(/.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64) (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (sin.f64 x) (neg.f64 eps))))))
(/.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64) (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64))))))
(neg.f64 (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) eps)))
(neg.f64 (fma.f64 (sin.f64 x) eps (.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 (cos.f64 x) eps))))
(neg.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) eps (sin.f64 x)) eps))
(fma.f64 (.f64 (neg.f64 eps) (.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))
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(+.f64 (sin.f64 x) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 eps #s(literal 1/2 binary64))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
(.f64 eps #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal -1/2 binary64) eps) eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(neg.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 #s(literal 1/16 binary64) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/4 binary64) eps) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 #s(literal 1/36 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 (.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal -1/6 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal -1/4 binary64) eps))
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 x #s(literal -1/6 binary64) (*.f64 #s(literal -1/4 binary64) eps))
(fma.f64 eps #s(literal -1/4 binary64) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))))
(-.f64 (.f64 #s(literal -1/4 binary64) eps) (.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(-.f64 (.f64 #s(literal -1/4 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
(-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (neg.f64 eps) #s(literal -1/4 binary64)))
(-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))) (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))))
(+.f64 (.f64 #s(literal -1/4 binary64) eps) (.f64 #s(literal -1/6 binary64) x))
(+.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))

eval30.0ms (0.2%)

Memory: 37.5MiB live, 37.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 10 374 to 1 311 computations (87.4% saved)

prune27.0ms (0.2%)

Memory

-14.1MiB live, 31.6MiB allocated; 6ms collecting garbage

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	268	11	279
Fresh	5	9	14
Picked	1	4	5
Done	0	2	2
Total	274	26	300

Accuracy

100.0%

Counts

300 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	50.3%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	50.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	51.0%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)))))
	51.0%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 #s(approx (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
	10.4%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
	49.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
▶	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	79.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))))
▶	50.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
▶	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))))
	79.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
✓	78.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 1 445 to 931 computations (35.6% saved)

simplify147.0ms (1.1%)

Memory

-12.1MiB live, 88.6MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) eps)
cost-diff	0	#s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
cost-diff	2	(fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
cost-diff	0	(fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)))
cost-diff	0	(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
cost-diff	0	(*.f64 (neg.f64 x) eps)
cost-diff	0	#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
cost-diff	3	(-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
cost-diff	0	(*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)
cost-diff	0	(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	409
0	77	407
1	157	393
2	385	389
3	994	386
4	2396	386
5	6902	386
0	8025	383

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
eps
#s(literal 1/2 binary64)
(sin.f64 x)
x
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
x
eps
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))
eps
#s(literal 1/2 binary64)
(.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(literal 1 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
(fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(neg.f64 eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(sin.f64 x)
x

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x))))
(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x)))
(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
eps
#s(literal 1/2 binary64)
(sin.f64 x)
x
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(*.f64 eps eps)
eps
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps x) (neg.f64 eps))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps x) (neg.f64 eps)))
(-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) eps x) (neg.f64 eps))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
x
eps
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(*.f64 eps eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) (fma.f64 #s(literal 1/2 binary64) eps x))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) (fma.f64 #s(literal 1/2 binary64) eps x))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) (fma.f64 #s(literal 1/2 binary64) eps x)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) (fma.f64 #s(literal 1/2 binary64) eps x))
eps
#s(literal 1/2 binary64)
(.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(literal 1 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (+.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (neg.f64 eps)))
(fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 (+.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (neg.f64 eps))
#s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(neg.f64 eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(sin.f64 x)
x

localize236.0ms (1.7%)

Memory

33.3MiB live, 126.9MiB allocated; 6ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy	0.1796875	(fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
accuracy	0.6516652062462602	#s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))
accuracy	0.21875	(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
accuracy	0.3359375	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.3698373865810514	#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)))
accuracy	0.0	(neg.f64 x)
accuracy	0.1328125	(-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
accuracy	13.625850838218089	#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
accuracy	0.0	(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
accuracy	30.974992979125954	#s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.0078125	(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x))
accuracy	0.140625	(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
accuracy	0.25838292687803055	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
accuracy	0.6589634238964956	#s(approx (cos x) #s(literal 1 binary64))

Samples

158.0ms	177×	2	valid
42.0ms	75×	1	valid
4.0ms	3×	5	exit
0.0ms	1×	0	valid

Compiler

Compiled 252 to 38 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-cos: 45.0ms (27.7% of total)

adjust: 42.0ms (25.9% of total)

ival-mult: 41.0ms (25.3% of total)

ival-add: 14.0ms (8.6% of total)

const: 10.0ms (6.2% of total)

ival-sub: 5.0ms (3.1% of total)

ival-sin: 3.0ms (1.8% of total)

ival-neg: 2.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

-31.4MiB live, 14.8MiB allocated; 3ms collecting garbage

Counts

25 → 74

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
(-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 x) eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))
(fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(approx (cos x) #s(literal 1 binary64))
(neg.f64 x)
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (neg.f64 eps) (sin.f64 x))

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* 1/2 (pow eps 2))
(- (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(* -1 (* eps x))
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1 x)
(* -1/6 x)
(* -1/4 eps)
(+ (* -1/4 eps) (* -1/6 x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* x (+ (* -1 eps) (* 1/2 (/ (pow eps 2) x))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(* 1/2 (* eps (cos x)))
(cos x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(* -1 (* eps (sin x)))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ eps (* -1/2 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(sin x)
(pow eps 2)
(* eps (+ (* -1 x) (* 1/2 eps)))
(* x (+ 1 (* -1/6 (pow x 2))))
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* (pow eps 2) (+ 1/2 (* -1 (/ x eps))))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(* eps (- (* -1/6 (/ x eps)) 1/4))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) (- (* (neg x) eps) (* (* eps eps) -1/2)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (* (neg x) eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* eps 1/2) (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* 1/2 eps) (cos x) (neg x) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (* (neg eps) (sin x)))
3.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) (- (* (neg x) eps) (* (* eps eps) -1/2)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (* (neg x) eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* eps 1/2) (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* 1/2 eps) (cos x) (neg x) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (* (neg eps) (sin x)))
3.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) (- (* (neg x) eps) (* (* eps eps) -1/2)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (* (neg x) eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* eps 1/2) (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* 1/2 eps) (cos x) (neg x) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (* (neg eps) (sin x)))
3.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) (- (* (neg x) eps) (* (* eps eps) -1/2)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (* (neg x) eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* eps 1/2) (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* 1/2 eps) (cos x) (neg x) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (* (neg eps) (sin x)))
2.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) (- (* (neg x) eps) (* (* eps eps) -1/2)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (* (neg x) eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* eps 1/2) (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x)) (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* 1/2 (* eps (cos x))) (* 1/2 eps) (cos x) (neg x) (* -1/6 x) (+ (* -1/4 eps) (* -1/6 x)) (* (neg eps) (sin x)))

simplify140.0ms (1%)

Memory

-5.5MiB live, 48.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	866
1	928	832
2	3428	816
0	8237	760

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* 1/2 (pow eps 2))
(- (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(* -1 (* eps x))
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1 x)
(* -1/6 x)
(* -1/4 eps)
(+ (* -1/4 eps) (* -1/6 x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* x (+ (* -1 eps) (* 1/2 (/ (pow eps 2) x))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(* 1/2 (* eps (cos x)))
(cos x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(* -1 (* eps (sin x)))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ eps (* -1/2 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(sin x)
(pow eps 2)
(* eps (+ (* -1 x) (* 1/2 eps)))
(* x (+ 1 (* -1/6 (pow x 2))))
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* (pow eps 2) (+ 1/2 (* -1 (/ x eps))))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(* eps (- (* -1/6 (/ x eps)) 1/4))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))

Outputs
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 eps) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) eps eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(* 1/2 (pow eps 2))
(.f64 (.f64 #s(literal 1/2 binary64) eps) eps)
(- (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps)
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps (.f64 (*.f64 #s(literal 1/48 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/48 binary64) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/4 eps)
(*.f64 #s(literal -1/4 binary64) eps)
(+ (* -1/4 eps) (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal -1/4 binary64) eps))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 x) eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) x) x (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 x) eps))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(+ (sin x) (* 1/2 (* eps (cos x))))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(* x (+ (* -1 eps) (* 1/2 (/ (pow eps 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/2 binary64) (neg.f64 eps)) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(*.f64 (-.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))
(cos x)
(cos.f64 x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/4 binary64)) #s(literal 1/6 binary64)) x)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* x (+ eps (* -1/2 (/ (pow eps 2) x)))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/2 binary64) (neg.f64 eps)) x)
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/4 binary64) #s(literal -1/6 binary64)) x)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(sin x)
(sin.f64 x)
(pow eps 2)
(*.f64 eps eps)
(* eps (+ (* -1 x) (* 1/2 eps)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) eps) eps)
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)
(* (pow eps 2) (+ 1/2 (* -1 (/ x eps))))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) eps)
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) eps)) #s(literal 1/2 binary64)) eps)
(* eps (- (* -1/6 (/ x eps)) 1/4))
(.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 eps))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(.f64 (fma.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) eps)) eps)
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) eps)

rewrite171.0ms (1.3%)

Memory

-3.3MiB live, 88.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	353
0	77	351
1	289	337
2	2270	337
0	8593	330

Stop Event

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

Counts

25 → 201

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
(-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 x) eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
(.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps))
#s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))
(fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(approx (cos x) #s(literal 1 binary64))
(neg.f64 x)
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (neg.f64 eps) (sin.f64 x))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x))) eps)
(.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x)) (neg.f64 eps))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 eps)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 eps)) (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))))
(/.f64 (.f64 (neg.f64 eps) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x)))
(/.f64 (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))))
(neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x)) eps))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (neg.f64 eps)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (neg.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (neg.f64 eps)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (neg.f64 eps)) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (neg.f64 eps)))
(+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))) (.f64 (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))) (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps (sin.f64 x))
(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) eps (sin.f64 x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) (sin.f64 x))
(fma.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))
(fma.f64 eps (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sin.f64 x))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x))))
(-.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)))
(-.f64 (sin.f64 x) (.f64 (neg.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)))
(-.f64 (sin.f64 x) (.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps)
(*.f64 eps #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal -1/2 binary64) eps) eps)
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (neg.f64 eps) eps)
(*.f64 eps (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 eps eps))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)) (.f64 (neg.f64 eps) (-.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) (.f64 (.f64 (neg.f64 eps) (-.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 eps) (-.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))) (.f64 (neg.f64 eps) (-.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64))) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) (.f64 (sin.f64 x) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (.f64 (neg.f64 eps) (-.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (.f64 (neg.f64 eps) (-.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) (sin.f64 x)) (neg.f64 eps)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps (.f64 (sin.f64 x) eps)))
(neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps)))
(fma.f64 (neg.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps))) eps (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)) (.f64 (neg.f64 eps) (-.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) (/.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (neg.f64 eps) (-.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))))
(-.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps)))
(-.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) (.f64 (sin.f64 x) eps))
(-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
(-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps))) (pow.f64 (.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx ( 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 #s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
#s(approx (* 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (cos x) #s(literal 1 binary64))
(neg.f64 x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) (.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/4 binary64) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/4 binary64) eps) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 (.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal -1/6 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps)))))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal -1/4 binary64) eps))
(fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 eps #s(literal -1/4 binary64) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 x #s(literal -1/6 binary64) (*.f64 #s(literal -1/4 binary64) eps))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))))
(-.f64 (.f64 #s(literal -1/4 binary64) eps) (.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(-.f64 (.f64 #s(literal -1/4 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
(-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (neg.f64 eps) #s(literal -1/4 binary64)))
(-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))) (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))))))
(+.f64 (.f64 #s(literal -1/4 binary64) eps) (.f64 #s(literal -1/6 binary64) x))
(+.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/4 binary64) eps))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) eps))

eval32.0ms (0.2%)

Memory: 34.2MiB live, 34.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 11 210 to 1 361 computations (87.9% saved)

prune26.0ms (0.2%)

Memory

-21.6MiB live, 25.6MiB allocated; 2ms collecting garbage

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	285	5	290
Fresh	2	13	15
Picked	2	3	5
Done	0	6	6
Total	289	27	316

Accuracy

100.0%

Counts

316 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	50.3%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	50.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	51.0%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)))))
	51.0%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 #s(approx (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
	10.4%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) #s(approx ( (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))))
	49.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)))))
✓	79.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))))
✓	50.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
✓	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps))))
	50.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps))))
	79.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
✓	78.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 2 092 to 828 computations (60.4% saved)

regimes30.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) #s(approx ( (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 #s(approx (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))

Outputs

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

Calls

3 calls:

10.0ms	eps
10.0ms	x
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes54.0ms (0.4%)

Memory

-27.3MiB live, 26.6MiB allocated; 3ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) #s(approx ( (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 #s(approx (/ (+ (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (PI.f64)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))

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

Calls

3 calls:

31.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
11.0ms	x
9.0ms	eps

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) #s(approx ( (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))

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

Calls

3 calls:

7.0ms	eps
7.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory

-29.1MiB live, 16.1MiB allocated; 4ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) #s(approx ( (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* -1/4 eps) (* -1/6 x)) x) 1) x) (* 1/2 eps)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* (cos x) -1/2)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))

Calls

3 calls:

8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* eps (cos x))) (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 eps) #s(approx ( (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (+ (* (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))

Calls

3 calls:

5.0ms	eps
5.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

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

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) #s(approx (- (* (neg x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (-.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* eps (cos x))) (neg eps)) (* (neg eps) (sin x))) (fma.f64 (fma.f64 (.f64 (.f64 x eps) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))

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

Calls

3 calls:

4.0ms	eps
4.0ms	x
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

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

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`eps`
98.8%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Accuracy

Total -19.3b remaining (-142.9%)

Threshold costs -19.3b (-142.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	eps
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
78.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
78.9%	1	`eps`
78.9%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify33.0ms (0.2%)

Memory

-33.8MiB live, 12.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	230
1	119	230
2	195	230
3	354	230
4	658	230
5	1444	230

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) #s(approx ( 1/2 (* eps (cos x))) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

derivations840.0ms (6.2%)

Memory

47.3MiB live, 239.1MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	353
0	77	351
1	289	337
2	2270	337
0	8593	330
0	261	856
1	915	816
2	3372	788
0	8166	728
0	535	2569
1	1992	2458
2	7806	2445
0	8089	2233
0	50	341
0	81	341
1	295	334
2	2306	334
0	8126	324
0	44	321
0	75	297
1	302	257
0	2818	253
0	105	296
1	308	293
2	814	293
3	2685	292
4	6556	292
0	8099	272

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 230 to 73 computations (68.3% saved)

preprocess48.0ms (0.4%)

Memory: 0.0MiB live, 45.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 508 to 188 computations (63% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze46.0ms (0.3%)

sample8.8s (64.6%)

explain231.0ms (1.7%)

preprocess279.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify178.0ms (1.3%)

localize83.0ms (0.6%)

series4.0ms (0%)

simplify177.0ms (1.3%)

rewrite201.0ms (1.5%)

eval19.0ms (0.1%)

prune9.0ms (0.1%)

simplify130.0ms (1%)

localize421.0ms (3.1%)

series34.0ms (0.2%)

simplify147.0ms (1.1%)

rewrite91.0ms (0.7%)

eval90.0ms (0.7%)

prune22.0ms (0.2%)

simplify125.0ms (0.9%)

localize249.0ms (1.8%)

series23.0ms (0.2%)

simplify134.0ms (1%)

rewrite191.0ms (1.4%)

eval30.0ms (0.2%)

prune27.0ms (0.2%)

simplify147.0ms (1.1%)

localize236.0ms (1.7%)

series19.0ms (0.1%)

simplify140.0ms (1%)

rewrite171.0ms (1.3%)

eval32.0ms (0.2%)

prune26.0ms (0.2%)

regimes30.0ms (0.2%)

regimes54.0ms (0.4%)

regimes19.0ms (0.1%)

regimes22.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

simplify33.0ms (0.2%)

derivations840.0ms (6.2%)

preprocess48.0ms (0.4%)

end0.0ms (0%)

Profiling