Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze123.0ms (1.5%)

Memory

23.0MiB live, 137.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	5
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	6
42.2%	42.1%	57.7%	0.1%	0%	0%	0%	7
49.2%	49.1%	50.7%	0.1%	0%	0%	0%	8
57.4%	57.3%	42.5%	0.1%	0%	0%	0%	9
67%	66.9%	33%	0.1%	0%	0%	0%	10
71.8%	71.7%	28.2%	0.1%	0%	0%	0%	11
76.9%	76.8%	23.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.5s (18.8%)

Memory

-16.5MiB live, 1 299.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 884.0ms

ival-mult: 481.0ms (54.4% of total)

ival-cos: 201.0ms (22.7% of total)

ival-pow2: 142.0ms (16.1% of total)

ival-div: 45.0ms (5.1% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain173.0ms (2.2%)

Memory

2.3MiB live, 240.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
67	0	-	1	(-3.811645779885128e-132 -1.5115926490118418e-155 -2.5107365485997765e+145)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
33	0	-	0	-	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
19	0	-	1	(-7.839873881611398e+170 7.141180713753702e+141 7.733452845909827e-246)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	118	(-1.3098126804257705e+303 3.243648872969433e+22 1.623441011489364e-180)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	118	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	19	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	55
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	77
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	76
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	81
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	19	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	17	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	17	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	61
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	57
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	44
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	46
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	14	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	13	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	10	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	8	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	77
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	61
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	81
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	76
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	81

Confusion

	Predicted +	Predicted -
+	99	1
-	81	75

Precision

0.55

Recall

0.99

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	99	0	1
-	81	0	75

Precision?

0.55

Recall?

0.99

Freqs

test

number	freq
0	76
1	126
2	52
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 17.0ms (42.2% of total)

ival-cos: 10.0ms (24.8% of total)

ival-pow2: 9.0ms (22.3% of total)

ival-div: 3.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess172.0ms (2.2%)

Memory

12.3MiB live, 164.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	161
1	146	147
2	480	147
3	1956	147
4	5003	147
5	7805	147
0	12	16
0	20	16
1	40	16
2	98	16
3	358	16
4	2184	16
5	4927	16
6	5653	16
7	5778	16
8	6168	16
9	7322	16
0	8288	16

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Outputs

(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify132.0ms (1.7%)

Memory

-1.6MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	40	56
2	98	56
3	358	56
4	2184	56
5	4927	56
6	5653	56
7	5778	56
8	6168	56
9	7322	56
0	8288	56

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s

Outputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s c)) (.f64 (.f64 s c) (*.f64 x x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))
(pow.f64 c #s(literal 2 binary64))
(*.f64 c c)
c
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(.f64 (.f64 (*.f64 s s) x) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(.f64 (.f64 s s) x)
(pow.f64 s #s(literal 2 binary64))
(*.f64 s s)
s

localize35.0ms (0.4%)

Memory

18.4MiB live, 56.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.29413484662483524	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy	4.375172133590644	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	7.87050849890117	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	15.086593343050511	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

27.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.6% of total)

ival-cos: 5.0ms (27.6% of total)

ival-pow2: 4.0ms (22.1% of total)

ival-div: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

-1.5MiB live, 35.7MiB allocated

Counts

6 → 14

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	s	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	x	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	c	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify233.0ms (2.9%)

Memory

-46.7MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	222
1	144	206
2	519	188
3	3912	184
0	8363	174

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) c) s)) (.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64))) (.f64 (.f64 (.f64 s c) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))

rewrite216.0ms (2.7%)

Memory

4.5MiB live, 131.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	59	46
2	261	42
0	2563	42

Stop Event

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

Counts

6 → 256

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)

Outputs
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 c c) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (*.f64 s s) x)))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 s s) x) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 c c)))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 s s) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (*.f64 c c) x)))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 c c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (.f64 (*.f64 s s) x) x)))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
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eval138.0ms (1.7%)

Memory: 3.4MiB live, 41.2MiB allocated
Compiler: Compiled 6 488 to 894 computations (86.2% saved)

prune43.0ms (0.5%)

Memory

-22.1MiB live, 60.7MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	251	19	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	252	19	271

Accuracy

98.7%

Counts

271 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s)
	78.0%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) s) (.f64 s x))
	56.3%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s))
▶	84.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
▶	69.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
	15.1%	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
	83.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x) x))
	68.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	77.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
▶	74.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	71.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	83.9%	(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
	83.9%	(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
	76.8%	(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x))))
▶	43.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
	44.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) c) s)) (.f64 x x)))
	73.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s))
	54.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))

Compiler

Compiled 876 to 572 computations (34.7% saved)

simplify132.0ms (1.7%)

Memory

15.5MiB live, 176.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 c c) x))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x))
cost-diff	2	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s)
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c))
cost-diff	2	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
cost-diff	2	(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
cost-diff	0	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
cost-diff	2	(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))
cost-diff	3	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	327
0	80	321
1	178	311
2	571	305
3	4820	305
0	8629	305

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2.1%)

Memory

-10.5MiB live, 148.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7232468285999383	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 c c) x))
accuracy	4.066766291639542	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s)
accuracy	7.731224420430167	(.f64 (.f64 c c) x)
accuracy	9.601681019914048	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x))
accuracy	3.618399816168445	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
accuracy	4.375172133590644	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	6.190152727297133	(.f64 (.f64 (.f64 (.f64 s s) x) x) c)
accuracy	7.87050849890117	(.f64 (.f64 s s) x)
accuracy	0.29413484662483524	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
accuracy	3.3837963735107364	(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
accuracy	7.87050849890117	(.f64 (.f64 s s) x)
accuracy	8.024251423899331	(.f64 (.f64 (*.f64 s s) x) c)
accuracy	7.875001053856309	(.f64 (.f64 x x) c)
accuracy	13.346772516736598	(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))
accuracy	13.549620120473346	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
accuracy	20.00563868225097	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
accuracy	0.25888470923183143	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
accuracy	0.27572250976844204	(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy	3.9305959505530392	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
accuracy	6.084274015546601	(.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)

Samples

120.0ms

256×

valid

Compiler

Compiled 312 to 47 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-pow2: 41.0ms (43.1% of total)

ival-mult: 30.0ms (31.6% of total)

ival-div: 13.0ms (13.7% of total)

ival-cos: 10.0ms (10.5% of total)

ival-add: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series74.0ms (0.9%)

Memory

13.4MiB live, 89.2MiB allocated

Counts

25 → 48

Calls

Call 1

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

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ 1 (* (pow c 2) x))
(/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* c (* (pow s 2) x))
(* (pow s 2) x)
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(* (pow c 2) x)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(cos (* -2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	c	@	-inf	((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* (* s s) x) c) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* c c) x))
13.0ms	x	@	-inf	((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* (* s s) x) c) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* c c) x))
7.0ms	x	@	inf	((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* (* s s) x) c) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* c c) x))
7.0ms	c	@	0	((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* (* s s) x) c) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* c c) x))
6.0ms	s	@	inf	((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* (* s s) x) c) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* c c) x))

simplify328.0ms (4.1%)

Memory

-10.4MiB live, 260.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	866
1	385	786
2	1364	716
3	7638	716
0	9155	680

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ 1 (* (pow c 2) x))
(/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* c (* (pow s 2) x))
(* (pow s 2) x)
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(* (pow c 2) x)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(cos (* -2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) x) (.f64 s s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (*.f64 s x)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 s c) (.f64 s c))) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) x) (.f64 s s)))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 c c) s)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 c c) s))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s s) x)) c) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 c c) x) s) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (.f64 s c))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 c c) s)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 c c) s))) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 s c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 s s) c)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) c)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 s c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 s c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) c) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 c c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 c c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) s) c) c))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 c c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 c c))) (*.f64 x x))
(/ 1 (* (pow c 2) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)
(/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 c x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 c c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) c) c) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) c)) x)
(* (pow c 2) (* (pow s 2) x))
(.f64 (.f64 (.f64 (.f64 c c) x) s) s)
(* c (pow x 2))
(.f64 (.f64 x x) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s s) c) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* c (* (pow s 2) (pow x 2)))
(.f64 (.f64 c (.f64 s x)) (.f64 s x))
(* (pow s 2) (pow x 2))
(.f64 (.f64 s x) (*.f64 s x))
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 s x)) (.f64 s x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) c) x)) c)
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (*.f64 s x)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 s x)) (.f64 s x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) c) x)) x)
(/ (cos (* -2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) s) x)) x)
(/ (cos (* -2 x)) (* (pow c 2) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 c c) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (*.f64 s x)))
(* (pow c 2) (pow s 2))
(.f64 (.f64 s c) (*.f64 s c))

rewrite61.0ms (0.8%)

Memory

40.8MiB live, 75.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	257
0	80	251
1	240	235
0	1195	235

Stop Event

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

Counts

25 → 460

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 s s) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 s s)) (.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) c) (.f64 (.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x))) (neg.f64 (.f64 (.f64 (*.f64 s s) x) c)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (.f64 (neg.f64 x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 (*.f64 s s) x) c))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) x) s)) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)) (neg.f64 c))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 (neg.f64 s) x)) (neg.f64 s))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (.f64 (neg.f64 c) (.f64 c x)) (.f64 (*.f64 s s) x)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (neg.f64 x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (neg.f64 x)) (.f64 (.f64 (neg.f64 s) x) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (neg.f64 x)) (neg.f64 (.f64 (.f64 s s) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) (neg.f64 (neg.f64 s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) (neg.f64 (neg.f64 c)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) x) s) x) s))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 (neg.f64 s) x)) s))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)) c))
(neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (neg.f64 x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) (neg.f64 s)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) (neg.f64 c)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (pow.f64 (.f64 s c) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (.f64 (neg.f64 x) (pow.f64 (.f64 s c) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) x)
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (neg.f64 x) (pow.f64 (.f64 s c) #s(literal 2 binary64))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (.f64 x #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 x #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(neg.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) (*.f64 s c)) s)
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) s) (*.f64 s c))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) c) s) c)) s)
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 s c) s)) (.f64 (*.f64 x x) c))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)))) (.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))) (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))) (-.f64 (.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x))) (neg.f64 (.f64 (.f64 s c) s)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))) (neg.f64 (.f64 (neg.f64 x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) (.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) (.f64 (.f64 s c) s))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) c) s) c)) (/.f64 #s(literal -2 binary64) s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -2 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) c)) (/.f64 x s) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 (.f64 s c) s)) (/.f64 x (.f64 (.f64 x x) c)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 (.f64 x x) c)) (/.f64 x (.f64 (.f64 s c) s)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x)) (/.f64 x (pow.f64 (.f64 s c) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
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(.f64 (.f64 (*.f64 s s) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 s) (neg.f64 x)) (*.f64 (neg.f64 s) (neg.f64 x)))
(.f64 (.f64 (neg.f64 s) (fabs.f64 x)) (*.f64 (neg.f64 s) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 s) (neg.f64 x)) (*.f64 (fabs.f64 s) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 s) (fabs.f64 x)) (*.f64 (fabs.f64 s) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 s) x) (*.f64 (fabs.f64 s) x))
(.f64 (.f64 s (fabs.f64 x)) (*.f64 s (fabs.f64 x)))
(.f64 (.f64 (neg.f64 s) x) (*.f64 (neg.f64 s) x))
(.f64 (neg.f64 s) (.f64 (neg.f64 s) (*.f64 x x)))
(.f64 (fabs.f64 s) (.f64 (fabs.f64 s) (*.f64 x x)))
(.f64 (.f64 s x) (*.f64 s x))
(.f64 (.f64 (*.f64 s s) x) x)
(.f64 (.f64 s s) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 s s))
(.f64 s (.f64 (*.f64 s x) x))
(.f64 s (.f64 s (*.f64 x x)))
(.f64 x (.f64 (*.f64 s s) x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(.f64 (.f64 x (neg.f64 c)) (neg.f64 c))
(.f64 (.f64 x (fabs.f64 c)) (fabs.f64 c))
(.f64 (neg.f64 c) (.f64 (neg.f64 c) x))
(.f64 (fabs.f64 c) (.f64 (fabs.f64 c) x))
(.f64 (.f64 c c) x)
(.f64 (.f64 c x) c)
(.f64 c (.f64 c x))
(.f64 x (.f64 c c))

eval68.0ms (0.9%)

Memory: -13.0MiB live, 78.1MiB allocated
Compiler: Compiled 10 458 to 1 481 computations (85.8% saved)

prune53.0ms (0.7%)

Memory

2.3MiB live, 73.6MiB allocated

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	373	38	411
Fresh	11	3	14
Picked	5	0	5
Done	0	0	0
Total	389	41	430

Accuracy

100.0%

Counts

430 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.7%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) x) x)
	49.2%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 c c) x)) (.f64 s x)) s)
▶	66.0%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (*.f64 s x)) s)
	68.9%	(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (.f64 (neg.f64 c) (.f64 c x)) (.f64 s x))) s)
	74.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) (*.f64 c x))
	80.8%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s c) s) c) x)) x)
	93.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (*.f64 s c))) x)
	91.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (.f64 (.f64 s x) (*.f64 c x)))) c)
	53.3%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* (* c c) x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 c x))) (*.f64 s x)) s)
▶	40.4%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
	69.5%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)) x)
	61.1%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) x) c)) c)
	74.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	83.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	84.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s c) s) x)))
▶	92.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
	92.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 s (.f64 (.f64 s x) c))))
▶	94.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
	75.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) #s(approx ( (* (* s s) x) c) (.f64 (.f64 (*.f64 s s) c) x))))
	71.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	65.2%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) c) c)) s)
	40.7%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (.f64 s c))) x)) x)
	51.3%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 c c) x) s) s))) x)
	61.9%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s s) x)) c) c)) x)
	65.1%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s)) c)
	71.8%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) c) x)) x)) c)
	62.8%	#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (*.f64 s x))))
	52.3%	#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) x) (.f64 s s)))
	57.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (.f64 c c))))
	48.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c))))
	45.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (.f64 c x))))
	44.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x))))
	42.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 c x) (.f64 c x)))))
	49.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 c x) (.f64 (.f64 s c) s)))))
	62.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(approx ( (* (* x x) c) (* (* s c) s)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
	42.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 s c) s)) (.f64 (*.f64 x x) c)))
	44.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) c) s)) (.f64 x x)))
	41.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) (.f64 (.f64 s c) s)))
	54.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
	16.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
▶	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))

Compiler

Compiled 2 234 to 1 510 computations (32.4% saved)

simplify148.0ms (1.9%)

Memory

-8.5MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c))
cost-diff	0	(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
cost-diff	0	#s(approx (cos (* -2 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x))
cost-diff	0	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (*.f64 s x))
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (*.f64 s x)) s)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 s c))
cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))
cost-diff	0	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c)))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))
cost-diff	0	(.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x))))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	402
0	91	402
1	210	402
2	666	394
3	2711	394
4	7874	394
0	8471	394

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (2.1%)

Memory

-24.4MiB live, 217.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.29413484662483524	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
accuracy	2.270729603076924	(.f64 (.f64 s c) (*.f64 s x))
accuracy	3.3837963735107364	(.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x)))
accuracy	4.375172133590644	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	6.190152727297133	(.f64 (.f64 (.f64 (.f64 s s) x) x) c)
accuracy	7.87050849890117	(.f64 (.f64 s s) x)
accuracy	28.915940654326544	#s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	4.066766291639542	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (*.f64 s x)) s)
accuracy	7.731224420430167	(.f64 (.f64 c c) x)
accuracy	9.601681019914048	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (*.f64 s x))
accuracy	27.046735166371985	#s(approx (cos (* -2 x)) #s(literal 1 binary64))
accuracy	0.1796875	(/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))
accuracy	0.7120408463498094	(/.f64 #s(literal -2 binary64) (*.f64 s c))
accuracy	20.00563868225097	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))
accuracy	28.944700245677218	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c)))
accuracy	0.29413484662483524	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
accuracy	1.86328448087817	(.f64 s (.f64 s (*.f64 c x)))
accuracy	3.3837963735107364	(.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x))))
accuracy	4.322189074726337	(.f64 s (.f64 c x))

Samples

133.0ms

256×

valid

Compiler

Compiled 318 to 54 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 56.0ms (50.7% of total)

ival-cos: 28.0ms (25.3% of total)

ival-div: 14.0ms (12.7% of total)

const: 4.0ms (3.6% of total)

ival-pow2: 4.0ms (3.6% of total)

ival-add: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.7%)

Memory

7.8MiB live, 84.7MiB allocated

Counts

25 → 42

Calls

Call 1

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

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ 1 (* (pow c 2) x))
(/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(* c (* s x))
(* c (* (pow s 2) x))
(* (pow c 2) x)
(* (pow s 2) x)
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) x))
(cos (* -2 x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(* 2/3 (pow x 4))
(* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c s))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	c	@	0	((/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (/ (cos (* 2 x)) (* (* x c) (* (* s c) (* s x)))) (* (* x c) (* (* s c) (* s x))) (* s (* c x)) (* s (* s (* c x))) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s c) (* s x)))
7.0ms	s	@	inf	((/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (/ (cos (* 2 x)) (* (* x c) (* (* s c) (* s x)))) (* (* x c) (* (* s c) (* s x))) (* s (* c x)) (* s (* s (* c x))) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s c) (* s x)))
6.0ms	c	@	inf	((/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (/ (cos (* 2 x)) (* (* x c) (* (* s c) (* s x)))) (* (* x c) (* (* s c) (* s x))) (* s (* c x)) (* s (* s (* c x))) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s c) (* s x)))
6.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (/ (cos (* 2 x)) (* (* x c) (* (* s c) (* s x)))) (* (* x c) (* (* s c) (* s x))) (* s (* c x)) (* s (* s (* c x))) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s c) (* s x)))
5.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) s) (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/ (cos (* -2 x)) (* (* c c) x)) (cos (* -2 x)) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (/ (cos (* 2 x)) (* (* x c) (* (* s c) (* s x)))) (* (* x c) (* (* s c) (* s x))) (* s (* c x)) (* s (* s (* c x))) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s c) (* s x)))

simplify222.0ms (2.8%)

Memory

16.4MiB live, 204.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	727
1	395	663
2	1383	609
3	7494	609
0	9023	579

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/ 1 (* (pow c 2) x))
(/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(* c (* s x))
(* c (* (pow s 2) x))
(* (pow c 2) x)
(* (pow s 2) x)
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* s (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) x))
(cos (* -2 x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(* 2/3 (pow x 4))
(* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c s))

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) s)) x) (*.f64 s x))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 (.f64 c x) x) (*.f64 s s)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 s c) (.f64 s c))) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) s)) x) (*.f64 s x)))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 c c) s)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (.f64 c c) s))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 c c) s) x) (*.f64 s x))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) c) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) s))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 c c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) s))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 c c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) s) c) c))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) s))) (* 2/3 (/ 1 (* (pow c 2) s))))) (* 2 (/ 1 (* (pow c 2) s))))) (/ 1 (* (pow c 2) s))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 c c)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 c c))) (*.f64 x x))
(/ 1 (* (pow c 2) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)
(/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 c x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 c c)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) c) c) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) c)) x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 s c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 s s) c)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 c x) x)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 s c)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 s c))) (*.f64 x x))
(* c (* s x))
(.f64 (.f64 s x) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s x) s) c)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow s 2) x)
(.f64 (.f64 s x) s)
(* c (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 c x) x) (.f64 s s))
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) s) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) s)) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) c) s)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 (.f64 c x) x) (*.f64 s s)))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) s)) x)
(/ (cos (* -2 x)) (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (*.f64 s x)) x)
(/ (cos (* -2 x)) (* (pow c 2) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 c c) x))
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) s) c)) x)
(* 2/3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64))
(* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 (.f64 c x) x) (*.f64 s s)))
(/ -2 (* c s))
(/.f64 #s(literal -2 binary64) (*.f64 s c))

rewrite234.0ms (2.9%)

Memory

-3.1MiB live, 236.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	332
0	91	332
1	293	284
2	1516	284
0	8224	282

Stop Event

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

Counts

25 → 607

Calls

Call 1

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

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

eval112.0ms (1.4%)

Memory: -1.4MiB live, 156.4MiB allocated
Compiler: Compiled 16 730 to 1 869 computations (88.8% saved)

prune78.0ms (1%)

Memory

-2.9MiB live, 116.0MiB allocated

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	559	29	588
Fresh	22	14	36
Picked	4	1	5
Done	0	0	0
Total	585	44	629

Accuracy

100.0%

Counts

629 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (*.f64 c x)) x) s) s)
	83.7%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) x) x)
	93.4%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c x)) (.f64 s (.f64 c x))) s)
	71.0%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c x) c)) (*.f64 s x)) s)
	59.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (.f64 c x)) (.f64 (*.f64 s s) x))
	69.4%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (.f64 c x)) (neg.f64 (.f64 (*.f64 (neg.f64 s) x) s)))
	92.1%	(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal 2 binary64))))) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
	74.0%	(/.f64 (/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) x) c) c) x)) s)
	74.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) (*.f64 c x))
	94.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s (.f64 c x)) s)) (*.f64 c x))
▶	98.2%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
	51.5%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (*.f64 s x) s) x) c)) c)
	58.3%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (.f64 (.f64 s x) (sqrt.f64 c)))) c)
	36.6%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s s) (.f64 (*.f64 c x) x))) c)
	69.5%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)) x)
	61.1%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) x) c)) c)
	66.1%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) s) x)) s)
	67.5%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) x) s)) (.f64 s x))
	74.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	92.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x))))
▶	94.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x)))))
	83.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (.f64 s c)))
	84.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s c) s) x)))
	97.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x))))
	93.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) (.f64 x (.f64 s (.f64 c x)))))
▶	65.1%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s)) c)
	67.1%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) x)) s) s)) c)
	53.7%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
	54.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
	58.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
	75.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x))))
	75.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x)))))
	79.1%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s (.f64 c x)) #s(literal 2 binary64)))
	62.8%	#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (*.f64 s x))))
	48.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c))))
▶	44.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x))))
	42.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 c x) (.f64 c x)))))
	62.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(approx ( (* (* x x) c) (* (* s c) s)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
	42.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 s c) s)) (.f64 (*.f64 x x) c)))
	41.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) (.f64 (.f64 s c) s)))
	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) c) s)))
✓	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))
▶	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c)))))
	66.5%	#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) s)) x) (*.f64 s x)))

Compiler

Compiled 2 142 to 1 472 computations (31.3% saved)

simplify124.0ms (1.6%)

Memory

16.7MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x))))
cost-diff	0	(+.f64 x x)
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x)))))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s)
cost-diff	0	#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s))
cost-diff	0	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s)) c)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x))))
cost-diff	3	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))
cost-diff	0	(/.f64 #s(literal -2 binary64) s)
cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c)))
cost-diff	0	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c))))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c)))))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (*.f64 c x)))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	383
0	93	383
1	213	383
2	725	371
3	3008	371
0	8564	371

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (2%)

Memory

-19.2MiB live, 240.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.29413484662483524	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x)))))
accuracy	1.86328448087817	(.f64 s (.f64 s (*.f64 c x)))
accuracy	3.3837963735107364	(.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x))))
accuracy	4.322189074726337	(.f64 s (.f64 c x))
accuracy	3.618399816168445	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s)) c)
accuracy	7.875001053856309	(.f64 (.f64 x x) c)
accuracy	7.94837131445201	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s)
accuracy	9.875561684139894	#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s))
accuracy	7.87050849890117	(.f64 (.f64 s s) x)
accuracy	12.087278812974521	(.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))
accuracy	13.549620120473346	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))
accuracy	20.00563868225097	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x))))
accuracy	0.10546875	(.f64 c (.f64 s c))
accuracy	3.0464095388826977	(/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c)))
accuracy	20.00563868225097	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c)))))
accuracy	28.944700245677218	#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c))))
accuracy	0.0	(cos.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.125	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
accuracy	0.30536998453611974	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (*.f64 c x)))
accuracy	4.322189074726337	(.f64 s (.f64 c x))

Samples

129.0ms

256×

valid

Compiler

Compiled 306 to 52 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-cos: 34.0ms (34.4% of total)

ival-mult: 34.0ms (34.4% of total)

ival-div: 20.0ms (20.3% of total)

ival-add: 7.0ms (7.1% of total)

ival-pow2: 4.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series61.0ms (0.8%)

Memory

35.1MiB live, 152.8MiB allocated

Counts

26 → 40

Calls

Call 1

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

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* c (* s x)))
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(pow x 2)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ 1 (* c (* s (pow x 2))))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow s 2) x)
(* c (pow x 2))
(* c (* (pow s 2) x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* s x)))
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(/ -2 s)

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	s	@	0	((/ (/ (cos (* -2 x)) (* s (* c x))) (* s (* c x))) (/ (cos (* -2 x)) (* s (* c x))) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* s c))) (/ -2 s) (/ (+ (* -2 (* x x)) 1) (* (* (* s s) x) (* (* c c) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (+ x x)) (* (* x c) (* s (* s (* c x))))) (cos (+ x x)) (+ x x) (* (* x c) (* s (* s (* c x)))) (* s (* c x)) (* c (* s c)) (* (* (* s s) x) (* (* c c) x)) (* (* s s) x) (* (* x x) c) (* s (* s (* c x))))
9.0ms	c	@	-inf	((/ (/ (cos (* -2 x)) (* s (* c x))) (* s (* c x))) (/ (cos (* -2 x)) (* s (* c x))) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* s c))) (/ -2 s) (/ (+ (* -2 (* x x)) 1) (* (* (* s s) x) (* (* c c) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (+ x x)) (* (* x c) (* s (* s (* c x))))) (cos (+ x x)) (+ x x) (* (* x c) (* s (* s (* c x)))) (* s (* c x)) (* c (* s c)) (* (* (* s s) x) (* (* c c) x)) (* (* s s) x) (* (* x x) c) (* s (* s (* c x))))
8.0ms	x	@	-inf	((/ (/ (cos (* -2 x)) (* s (* c x))) (* s (* c x))) (/ (cos (* -2 x)) (* s (* c x))) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* s c))) (/ -2 s) (/ (+ (* -2 (* x x)) 1) (* (* (* s s) x) (* (* c c) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (+ x x)) (* (* x c) (* s (* s (* c x))))) (cos (+ x x)) (+ x x) (* (* x c) (* s (* s (* c x)))) (* s (* c x)) (* c (* s c)) (* (* (* s s) x) (* (* c c) x)) (* (* s s) x) (* (* x x) c) (* s (* s (* c x))))
6.0ms	c	@	inf	((/ (/ (cos (* -2 x)) (* s (* c x))) (* s (* c x))) (/ (cos (* -2 x)) (* s (* c x))) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* s c))) (/ -2 s) (/ (+ (* -2 (* x x)) 1) (* (* (* s s) x) (* (* c c) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (+ x x)) (* (* x c) (* s (* s (* c x))))) (cos (+ x x)) (+ x x) (* (* x c) (* s (* s (* c x)))) (* s (* c x)) (* c (* s c)) (* (* (* s s) x) (* (* c c) x)) (* (* s s) x) (* (* x x) c) (* s (* s (* c x))))
6.0ms	s	@	-inf	((/ (/ (cos (* -2 x)) (* s (* c x))) (* s (* c x))) (/ (cos (* -2 x)) (* s (* c x))) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* s c))) (/ -2 s) (/ (+ (* -2 (* x x)) 1) (* (* (* s s) x) (* (* c c) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (+ x x)) (* (* x c) (* s (* s (* c x))))) (cos (+ x x)) (+ x x) (* (* x c) (* s (* s (* c x)))) (* s (* c x)) (* c (* s c)) (* (* (* s s) x) (* (* c c) x)) (* (* s s) x) (* (* x x) c) (* s (* s (* c x))))

simplify170.0ms (2.1%)

Memory

-24.2MiB live, 206.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	602
1	327	550
2	1156	510
3	7182	510
0	8817	486

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* c (* s x)))
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(pow x 2)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ 1 (* c (* s (pow x 2))))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow s 2) x)
(* c (pow x 2))
(* c (* (pow s 2) x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* s x)))
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(/ -2 s)

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) c) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 c x) (.f64 (*.f64 s x) s)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 (.f64 c s) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) c) c)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) c) (.f64 (.f64 c s) s)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 (.f64 c s) c))) (*.f64 x x))
(/ 1 (* c (* s x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (*.f64 s x) c))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 c s)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) c) s) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(pow x 2)
(*.f64 x x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s x) x) c)) s)
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 c s)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 c s) s)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) x) c)) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) c) (.f64 s s)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (.f64 c s))) (*.f64 x x))
(/ 1 (* c (* s (pow x 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s x) x) c))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)
(* c (* s x))
(.f64 (.f64 s x) c)
(* (pow s 2) x)
(.f64 (.f64 s x) s)
(* c (pow x 2))
(.f64 (.f64 x x) c)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s x) s) c)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) s)) x)
(/ (cos (* -2 x)) (* c (* s x)))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 s x) c))
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) s)) x)
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 c x) (.f64 (*.f64 s x) s)))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s x) c)) (.f64 s x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) s)) x)
(cos (neg (* -2 x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 (.f64 c x) (.f64 (*.f64 s x) s)))
(* (pow c 2) s)
(.f64 (.f64 c s) c)
(/ -2 s)
(/.f64 #s(literal -2 binary64) s)

rewrite60.0ms (0.8%)

Memory

34.2MiB live, 71.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	326
0	93	326
1	282	274
0	1505	274

Stop Event

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

Counts

26 → 396

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) c) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) x) c)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c s)) x) (*.f64 c x)) s)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c s)) x) (*.f64 c s)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 s s)) (.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) x) (.f64 (.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) c) c)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 s s)) (.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 s x) c)) s)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) x) (.f64 (.f64 (.f64 (*.f64 s s) x) c) c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c))) (neg.f64 (*.f64 c x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x))) (neg.f64 (.f64 (.f64 (*.f64 s s) x) c)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) s) (.f64 (.f64 c x) (.f64 (*.f64 s x) c)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 (*.f64 s s) x) c))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (.f64 s x) c)) (.f64 (neg.f64 s) (.f64 c x)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c s)) x) (neg.f64 (.f64 (neg.f64 s) (.f64 c x))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c s)) x) (.f64 (.f64 s x) c))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (.f64 s x) c)) (.f64 (.f64 s x) c)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c s)) x) (.f64 (neg.f64 s) (.f64 c x))))
(neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) c) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) x) c)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c s)) x)
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) s)) (neg.f64 (.f64 c x)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (.f64 (neg.f64 s) (.f64 c x))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) s) (.f64 c x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) s)
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (neg.f64 s) (.f64 c x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 s x) c))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (.f64 s x) c)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
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eval71.0ms (0.9%)

Memory: -36.4MiB live, 93.9MiB allocated
Compiler: Compiled 10 601 to 1 340 computations (87.4% saved)

prune51.0ms (0.6%)

Memory

14.6MiB live, 99.8MiB allocated

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	338	21	359
Fresh	13	25	38
Picked	4	1	5
Done	0	1	1
Total	355	48	403

Accuracy

100.0%

Counts

403 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.1%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 s x) c)) s)
	71.0%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c x) c)) (*.f64 s x)) s)
	59.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (.f64 c x)) (.f64 (*.f64 s s) x))
	69.4%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (.f64 c x)) (neg.f64 (.f64 (*.f64 (neg.f64 s) x) s)))
	92.1%	(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal 2 binary64))))) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
	74.0%	(/.f64 (/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) x) c) c) x)) s)
	98.2%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	74.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) (*.f64 c x))
	94.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s (.f64 c x)) s)) (*.f64 c x))
	96.8%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c s) x)) (.f64 s (*.f64 c x)))
	58.3%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (.f64 (.f64 s x) (sqrt.f64 c)))) c)
	36.6%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s s) (.f64 (*.f64 c x) x))) c)
	69.5%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)) x)
	61.1%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) x) c)) c)
	66.1%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) s) x)) s)
	67.5%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) x) s)) (.f64 s x))
	79.1%	(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	91.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 c s)) x))
	92.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s x) c) s)))
	77.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 s s) (*.f64 c x))))
	92.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x))))
	94.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 (*.f64 c s) x))))
	83.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) #s(approx (* s (* s (* c x))) (.f64 (.f64 (*.f64 s x) s) c))))
	74.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 (.f64 c x) (.f64 (*.f64 s s) c))))
	81.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 (*.f64 c s) c) s))))
	84.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s c) s) x)))
	76.4%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s x) x) c)) s)) c)
	65.1%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) c) s) s))) c)
	60.6%	(/.f64 #s(approx (/ (cos (* -2 x)) (* s (* c x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 s x) c))) (.f64 s (*.f64 c x)))
	77.8%	(/.f64 #s(approx (/ (cos (* -2 x)) (* s (* c x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c s)) x)) (.f64 s (*.f64 c x)))
	53.7%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
	54.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
	58.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
	75.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x))))
	75.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x)))))
	79.1%	(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s (.f64 c x)) #s(literal 2 binary64)))
	62.8%	#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (*.f64 s x))))
	48.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c))))
	53.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) s) (.f64 (.f64 c c) x))))
	62.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(approx ( (* (* x x) c) (* (* s c) s)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
	40.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 s s)) (.f64 (.f64 (*.f64 c c) x) x)))
	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) c) s)))
	25.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
✓	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))
	23.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 (.f64 c c) s))))
✓	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c)))))
	23.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) c) s))))
	66.5%	#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) s)) x) (*.f64 s x)))

Compiler

Compiled 3 915 to 1 307 computations (66.6% saved)

regimes201.0ms (2.5%)

Memory

9.8MiB live, 236.9MiB allocated

Counts

108 → 1

Calls

Call 1

Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 c (.f64 s c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 (.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) c) s)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) c) s) s))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) x) s)) (.f64 s x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) s) x)) s)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) x) c)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
(/.f64 (/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) x) c) c) x)) s)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(approx ( (* (* x x) c) (* (* s c) s)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 c x) (.f64 (.f64 s c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 s s) (.f64 (.f64 c x) (.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) s) (.f64 (.f64 c c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) s)) x) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* s (* c x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c s)) x)) (.f64 s (*.f64 c x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 s x) x) c)) s)) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (.f64 c x)) (.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (*.f64 s x)) s)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (.f64 c x) c)) (*.f64 s x)) s)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (.f64 c x)) (neg.f64 (.f64 (*.f64 (neg.f64 s) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 s s)) (.f64 (.f64 (*.f64 c c) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 s c) s)) (.f64 (*.f64 x x) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (*.f64 s x))))
(/.f64 #s(approx (/ (cos (* -2 x)) (* s (* c x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 s x) c))) (.f64 s (*.f64 c x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 c c) x) s) s))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) x) (.f64 s s)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) x)) s) s)) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) s) s)) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s s) x)) c) c)) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) (.f64 (.f64 s c) s)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* (* c c) x)) (* s x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) c) c)) s)
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (*.f64 c x)) x) s) s)
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* (* c c) x)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 c x))) (*.f64 s x)) s)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s s) (.f64 (*.f64 c x) x))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (*.f64 s x) s) x) c)) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 c c) x)) (.f64 s x)) s)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) c) s)) (.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (.f64 (.f64 s x) (sqrt.f64 c)))) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (.f64 (.f64 s c) (.f64 s c))) (.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) s) (.f64 s c))) x)) x)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 s (.f64 c x)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 (*.f64 c s) c) s))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 (.f64 c x) (.f64 (*.f64 s s) c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) #s(approx (* s (* s (* c x))) (.f64 (.f64 (*.f64 s x) s) c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x)))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 s s) (*.f64 c x))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s x) c) s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 c s)) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) (.f64 x (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) #s(approx ( (* (* s s) x) c) (.f64 (.f64 (*.f64 s s) c) x))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 s (.f64 (.f64 s x) c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s c) s) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (.f64 s c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s (.f64 (.f64 s x) (*.f64 c x)))) c)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c s) x)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s (.f64 c x)) s)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (*.f64 s c))) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s c) s) c) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (.f64 (.f64 (neg.f64 c) (.f64 c x)) (.f64 s x))) s)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) c) x)) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c x)) (.f64 s (.f64 c x))) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) s) (.f64 s x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 s x)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 s x) c)) s)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) x) x)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x))))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal 2 binary64))))) (.f64 (.f64 x c) (.f64 (.f64 s c) (.f64 s x))))

Outputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))

Calls

6 calls:

42.0ms	(pow.f64 c #s(literal 2 binary64))
39.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
32.0ms	s
28.0ms	x
28.0ms	c

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`c`
98.2%	1	`s`
98.2%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
98.2%	1	`(pow.f64 c #s(literal 2 binary64))`
98.2%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes155.0ms (1.9%)

Memory

-35.9MiB live, 216.4MiB allocated

Counts

81 → 1

Calls

Call 1

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

Outputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x))))

Calls

6 calls:

36.0ms	(pow.f64 s #s(literal 2 binary64))
31.0ms	c
23.0ms	s
22.0ms	x
17.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.9%	1	`s`
97.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.9%	1	`x`
97.9%	1	`c`
97.9%	1	`(pow.f64 c #s(literal 2 binary64))`
97.9%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes134.0ms (1.7%)

Memory

23.9MiB live, 178.2MiB allocated

Counts

70 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 c s) x))))

Calls

6 calls:

39.0ms	s
25.0ms	c
19.0ms	x
18.0ms	(pow.f64 s #s(literal 2 binary64))
15.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.6%	2	`s`
94.4%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
94.4%	1	`(pow.f64 s #s(literal 2 binary64))`
99.0%	2	`x`
96.1%	2	`c`
96.1%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes50.0ms (0.6%)

Memory

18.4MiB live, 54.8MiB allocated

Counts

62 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))

Calls

1 calls:

47.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes171.0ms (2.1%)

Memory

-26.3MiB live, 170.6MiB allocated

Counts

61 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 c s) c) s))))

(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) c))))

Calls

6 calls:

41.0ms	(pow.f64 s #s(literal 2 binary64))
40.0ms	s
29.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
24.0ms	(pow.f64 c #s(literal 2 binary64))
16.0ms	x

Results

Accuracy	Segments	Branch
87.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
91.5%	2	`(pow.f64 s #s(literal 2 binary64))`
89.6%	2	`c`
89.6%	2	`(pow.f64 c #s(literal 2 binary64))`
91.5%	2	`s`
96.2%	3	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes18.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

59 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 c s) c) s))))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
91.9%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes171.0ms (2.2%)

Memory

-3.4MiB live, 114.7MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

54.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
47.0ms	s
25.0ms	(pow.f64 c #s(literal 2 binary64))
15.0ms	x
14.0ms	c

Results

Accuracy	Segments	Branch
81.9%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
79.1%	1	`c`
79.1%	1	`(pow.f64 c #s(literal 2 binary64))`
79.1%	1	`(pow.f64 s #s(literal 2 binary64))`
79.1%	1	`s`
81.2%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes28.0ms (0.3%)

Memory

-1.0MiB live, 36.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

12.0ms	(pow.f64 s #s(literal 2 binary64))
3.0ms	s
3.0ms	x
3.0ms	c
3.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
75.9%	1	`s`
75.9%	1	`(pow.f64 s #s(literal 2 binary64))`
75.9%	1	`c`
75.9%	1	`(pow.f64 c #s(literal 2 binary64))`
75.9%	1	`x`
78.7%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes12.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	s
2.0ms	x
2.0ms	c
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
23.8%	1	`s`
23.8%	1	`(pow.f64 s #s(literal 2 binary64))`
23.8%	1	`c`
23.8%	1	`(pow.f64 c #s(literal 2 binary64))`
23.8%	1	`x`
23.8%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes19.0ms (0.2%)

Memory

-15.5MiB live, 22.9MiB allocated

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

11.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	c
2.0ms	s
2.0ms	x
1.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
23.8%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
23.8%	1	`(pow.f64 c #s(literal 2 binary64))`
23.8%	1	`s`
23.8%	1	`c`
23.8%	1	`(pow.f64 s #s(literal 2 binary64))`
23.8%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch9.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.1631155737316886e-89	4.979864651721715e-89

Samples

5.0ms

64×

valid

Compiler

Compiled 215 to 158 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (31.4% of total)

ival-pow2: 1.0ms (31.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.1631155737316886e-89	4.979864651721715e-89

Compiler

Compiled 215 to 158 computations (26.5% saved)

bsearch57.0ms (0.7%)

Memory

-18.9MiB live, 32.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0251997346925909e+120	2.3383567660877385e+121
38.0ms	3.7361874120883164e-17	2.644135241534723e-16

Samples

46.0ms

208×

valid

Compiler

Compiled 537 to 396 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 4.0ms (29.2% of total)

ival-mult: 4.0ms (29.2% of total)

ival-pow2: 3.0ms (21.9% of total)

ival-div: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.7361874120883164e-17	2.644135241534723e-16

Compiler

Compiled 313 to 228 computations (27.2% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1159821903182142e-175	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1159821903182142e-175	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify50.0ms (0.6%)

Memory

3.5MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	522
1	155	506
2	392	498
3	3266	498

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x))))
(if (<=.f64 x #s(literal 3511919755734797/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 (.f64 c s) x)))))
(if (<=.f64 x #s(literal 3511919755734797/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x))))))
(if (<=.f64 x #s(literal 4867778304876401/81129638414606681695789005144064 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (if (<=.f64 x #s(literal 4800000000000000018691578866995741252551309691009987927133761355201763777091099851577133092088204114323852816375454105600 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 (.f64 c s) c) s)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 (.f64 c x) (.f64 (*.f64 s s) c))))))
(if (<=.f64 x #s(literal 4867778304876401/81129638414606681695789005144064 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 (.f64 c s) c) s)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 c s) c) s)))) (/.f64 (/.f64 #s(approx (cos ( -2 x)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 c s) c) s)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) c) s))))

Outputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x))))
(if (<=.f64 x #s(literal 3511919755734797/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 (.f64 c s) x)))))
(if (<=.f64 x #s(literal 3511919755734797/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 s (.f64 s (.f64 c x))))))
(if (<=.f64 x #s(literal 4867778304876401/81129638414606681695789005144064 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (if (<=.f64 x #s(literal 4800000000000000018691578866995741252551309691009987927133761355201763777091099851577133092088204114323852816375454105600 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 (.f64 c s) c) s)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 (.f64 c x) (.f64 (*.f64 s s) c))))))
(if (<=.f64 x #s(literal 4867778304876401/81129638414606681695789005144064 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 c (.f64 s x)) (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 (.f64 c s) c) s)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 c s) c) s)))) (/.f64 (/.f64 #s(approx (cos ( -2 x)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 c s) c) s)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 s (.f64 s (*.f64 c x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 c s) c) s))))

soundness1.3s (16.5%)

Memory

0.8MiB live, 719.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	59	46
2	261	42
0	2563	42
0	50	222
1	144	206
2	519	188
3	3912	184
0	8363	174
0	62	326
0	93	326
1	282	274
0	1505	274
0	116	602
1	327	550
2	1156	510
3	7182	510
0	8817	486
0	136	866
1	385	786
2	1364	716
3	7638	716
0	9155	680
0	59	332
0	91	332
1	293	284
2	1516	284
0	8224	282
0	47	257
0	80	251
1	240	235
0	1195	235
0	141	727
1	395	663
2	1383	609
3	7494	609
0	9023	579

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×	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

Compiler

Compiled 2 312 to 985 computations (57.4% saved)

preprocess183.0ms (2.3%)

Memory: 8.5MiB live, 129.5MiB allocated
Compiler: Compiled 1 500 to 494 computations (67.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze123.0ms (1.5%)

sample1.5s (18.8%)

explain173.0ms (2.2%)

preprocess172.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify132.0ms (1.7%)

localize35.0ms (0.4%)

series24.0ms (0.3%)

simplify233.0ms (2.9%)

rewrite216.0ms (2.7%)

eval138.0ms (1.7%)

prune43.0ms (0.5%)

simplify132.0ms (1.7%)

localize171.0ms (2.1%)

series74.0ms (0.9%)

simplify328.0ms (4.1%)

rewrite61.0ms (0.8%)

eval68.0ms (0.9%)

prune53.0ms (0.7%)

simplify148.0ms (1.9%)

localize169.0ms (2.1%)

series58.0ms (0.7%)

simplify222.0ms (2.8%)

rewrite234.0ms (2.9%)

eval112.0ms (1.4%)

prune78.0ms (1%)

simplify124.0ms (1.6%)

localize159.0ms (2%)

series61.0ms (0.8%)

simplify170.0ms (2.1%)

rewrite60.0ms (0.8%)

eval71.0ms (0.9%)

prune51.0ms (0.6%)

regimes201.0ms (2.5%)

regimes155.0ms (1.9%)

regimes134.0ms (1.7%)

regimes50.0ms (0.6%)

regimes171.0ms (2.1%)

regimes18.0ms (0.2%)

regimes171.0ms (2.2%)

regimes28.0ms (0.3%)

regimes12.0ms (0.1%)

regimes19.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch57.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.6%)

soundness1.3s (16.5%)

preprocess183.0ms (2.3%)

end0.0ms (0%)

Profiling