Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze138.0ms (1.7%)

Memory

-9.5MiB live, 153.8MiB 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)

sample1.7s (21%)

Memory

30.6MiB live, 1 487.1MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 961.0ms

ival-cos: 431.0ms (44.8% of total)

ival-mult: 309.0ms (32.1% of total)

ival-pow2: 159.0ms (16.5% of total)

ival-div: 47.0ms (4.9% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain388.0ms (4.9%)

Memory

-42.2MiB live, 268.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
60	0	-	0	-	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
38	0	-	3	(-2.557029931278795e+105 -2.121859292801229e-268 -1.3749837823440774e-157)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
13	0	-	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
2	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	123	(3.496856189630471e+244 1.0476451454214405e+99 -1.052211323237841e-171)	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	123	1
`*.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))`	*uo**	18	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	74
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	69
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	64
`*.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	52
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	81
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	60
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	16	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	16	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	9	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	8	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	5	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	2	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	69
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	52
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	74
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	64

Confusion

	Predicted +	Predicted -
+	94	0
-	83	79

Precision

0.5310734463276836

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	0
-	83	0	79

Precision?

0.5310734463276836

Recall?

1.0

Freqs

test

number	freq
0	79
1	123
2	52
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 244 to 90 computations (63.1% saved)

Precisions

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

ival-cos: 14.0ms (35% of total)

ival-mult: 12.0ms (30% of total)

ival-pow2: 10.0ms (25% of total)

ival-div: 3.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (0.8%)

Memory

-3.4MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	168
1	133	161
2	473	147
3	2282	147
4	5965	147
0	12	16
0	20	16
1	31	16
2	64	16
3	198	16
4	487	16
5	704	16
6	737	16
0	737	16

Stop Event

1×	iter limit
1×	saturated
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 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 x x)) (*.f64 s c))

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(/.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 16 to 12 computations (25% saved)

simplify11.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	6144	(pow.f64 s #s(literal 2 binary64))
cost-diff	6144	(pow.f64 c #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	31	56
2	64	56
3	198	56
4	487	56
5	704	56
6	737	56
0	737	56

Stop Event

1×	iter limit
1×	saturated
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 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s c)) (.f64 x x)) (.f64 s c))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.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 (.f64 (.f64 c x) x) s) (*.f64 s c))
(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

localize44.0ms (0.6%)

Memory

-1.8MiB live, 35.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2782001099949061	(/.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	2.9108079952705066	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	8.604317250794383	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	14.07586649036291	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

35.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow2: 11.0ms (45.2% of total)

ival-mult: 6.0ms (24.6% of total)

ival-cos: 5.0ms (20.5% of total)

ival-div: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.5%)

Memory

-2.0MiB live, 34.0MiB allocated

Counts

8 → 16

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	s	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
4.0ms	c	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms	x	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms	s	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))

simplify167.0ms (2.1%)

Memory

7.8MiB live, 196.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	228
1	117	228
2	383	214
3	1948	204
4	4752	196
5	6888	196
0	8107	184

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
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))
(/ 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))
(cos (* 2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow c 2)
(pow s 2)

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

rewrite228.0ms (2.9%)

Memory

27.2MiB live, 268.1MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42

Stop Event

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

Counts

8 → 685

Calls

Call 1

Inputs
(pow.f64 c #s(literal 2 binary64))
(pow.f64 s #s(literal 2 binary64))
(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)
(/.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 (pow.f64 (pow.f64 c #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 c))
(*.f64 (pow.f64 c #s(literal 3/2 binary64)) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (pow.f64 (pow.f64 c #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 c) (pow.f64 c #s(literal 3/2 binary64)))
(*.f64 c c)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 c))
(pow.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 c))
(pow.f64 (sqrt.f64 c) #s(literal 4 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 c)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 s #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 s))
(*.f64 (pow.f64 s #s(literal 3/2 binary64)) (sqrt.f64 s))
(*.f64 (sqrt.f64 s) (pow.f64 (pow.f64 s #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 s) (pow.f64 s #s(literal 3/2 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) x) (.f64 x (.f64 s s))) (/.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) x) (.f64 x (.f64 s s))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (.f64 x (.f64 s s))) (.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (.f64 x (.f64 s s))) (.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (.f64 x (.f64 s s))) x) (/.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (.f64 x (.f64 s s))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 c c))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 c c))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 c) c)) (neg.f64 (neg.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64))))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (neg.f64 (neg.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (neg.f64 (neg.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 c) c)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 c) c)) (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x s) #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 c) c)) (.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x s) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 c) c)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (.f64 x s) #s(literal 2 binary64)))))

eval102.0ms (1.3%)

Memory: 9.3MiB live, 233.1MiB allocated
Compiler: Compiled 21 007 to 2 488 computations (88.2% saved)

prune73.0ms (0.9%)

Memory

0.4MiB live, 128.0MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	676	25	701
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	677	25	702

Accuracy

100.0%

Counts

702 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.2%	(/.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64)))))
	85.0%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x s) #s(literal 2 binary64))) c) c)
	85.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
▶	66.8%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
	85.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
	85.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) c) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
	96.1%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
	23.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) x) (.f64 (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)))) (.f64 (.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)) x))
	96.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
▶	77.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
	75.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (.f64 s s)))
	85.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	85.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) (.f64 x s)) s))
	65.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (.f64 s s)))
	78.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) s) (.f64 x s)))
	76.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 x (.f64 s s)) c)))
▶	96.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	60.9%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	75.8%	(.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) (pow.f64 (.f64 x (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
	74.4%	(.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 s s)) c) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
	96.2%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))))
▶	63.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
	72.8%	#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 x x)) (.f64 (.f64 s c) c)) s))
	49.1%	#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 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))

Compiler

Compiled 986 to 704 computations (28.6% saved)

simplify45.0ms (0.6%)

Memory

-20.5MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 c s)
cost-diff	0	(pow.f64 (*.f64 c s) #s(literal -2 binary64))
cost-diff	0	(/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)
cost-diff	384	(/.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64)))))
cost-diff	0	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 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 x (.f64 s s))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 s s)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x 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)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	296
0	74	300
1	137	282
2	277	278
3	544	278
4	864	278
5	881	278
6	881	278
7	990	278
8	990	278
0	990	278

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize162.0ms (2%)

Memory

-18.6MiB live, 193.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(/.f64 x (cos.f64 (*.f64 x #s(literal 2 binary64))))
accuracy	0.197597509768442	(pow.f64 (*.f64 c s) #s(literal -2 binary64))
accuracy	4.1953332345142265	(/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)
accuracy	4.521747516407727	(/.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (/.f64 x (cos.f64 (.f64 x #s(literal 2 binary64)))))
accuracy	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.1796875	(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy	0.2782001099949061	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (.f64 c c)))
accuracy	14.07586649036291	(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c))
accuracy	0.6381385035126711	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 s s)))
accuracy	7.93887115275629	(.f64 x (.f64 c c))
accuracy	8.604317250794383	(.f64 x (.f64 s s))
accuracy	10.552108188213158	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 x (*.f64 c c)))
accuracy	0.13671875	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	7.512451610053074	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	12.372005619895994	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	12.50690933715309	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s)))
accuracy	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))
accuracy	0.17644501953688402	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.2782001099949061	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	6.960075043461371	(.f64 (.f64 x c) s)

Samples

124.0ms

256×

valid

Compiler

Compiled 556 to 88 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 30.0ms (38.2% of total)

ival-cos: 23.0ms (29.3% of total)

ival-div: 15.0ms (19.1% of total)

ival-pow2: 7.0ms (8.9% of total)

ival-pow: 2.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.6%)

Memory

29.1MiB live, 66.3MiB allocated

Counts

25 → 32

Calls

Call 1

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

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 (* c (pow x 2)))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 (* (pow s 2) x))
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(* c (* s x))
(* (pow c 2) x)
x
(* x (+ 1 (* 2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2 (* 10/3 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 10/3 (* 244/45 (pow x 2))))))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ (cos (* 2 x)) (* (pow s 2) x))
(/ x (cos (* 2 x)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (pow (* c s) -2) x) (/ x (cos (* x 2)))) (/ (pow (* c s) -2) x) (pow (* c s) -2) (* c s) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* x (* c c)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))) (/ x (cos (* x 2))))
7.0ms	c	@	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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (pow (* c s) -2) x) (/ x (cos (* x 2)))) (/ (pow (* c s) -2) x) (pow (* c s) -2) (* c s) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* x (* c c)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))) (/ x (cos (* x 2))))
5.0ms	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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (pow (* c s) -2) x) (/ x (cos (* x 2)))) (/ (pow (* c s) -2) x) (pow (* c s) -2) (* c s) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* x (* c c)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))) (/ x (cos (* x 2))))
5.0ms	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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (pow (* c s) -2) x) (/ x (cos (* x 2)))) (/ (pow (* c s) -2) x) (pow (* c s) -2) (* c s) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* x (* c c)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))) (/ x (cos (* x 2))))
5.0ms	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)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* x 2)) (* x (* s s))) (cos (* x 2)) (* x 2) (* x (* s s)) (* (pow (* x s) 2) (* c c)) (pow (* x s) 2) (/ (/ (pow (* c s) -2) x) (/ x (cos (* x 2)))) (/ (pow (* c s) -2) x) (pow (* c s) -2) (* c s) (* (* x c) s) (* (* (* x c) s) (* (* x c) s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (/ (cos (* x 2)) (* x (* s s))) (* x (* c c))) (* x (* c c)) (/ (cos (* 2 x)) (* (pow (* x s) 2) (* c c))) (/ x (cos (* x 2))))

simplify154.0ms (1.9%)

Memory

-0.2MiB live, 193.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	420
1	253	420
2	754	394
3	3190	380
4	5833	380
0	8080	356

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

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 (* c (pow x 2)))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 (* (pow s 2) x))
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(* c (* s x))
(* (pow c 2) x)
x
(* x (+ 1 (* 2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2 (* 10/3 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 10/3 (* 244/45 (pow x 2))))))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ (cos (* 2 x)) (* (pow s 2) x))
(/ x (cos (* 2 x)))
(/ 1 (* (pow c 2) (pow s 2)))
(* c s)

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) x) 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)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x 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))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) s) c) (/.f64 x c)) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.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))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 x s) s) c) (/.f64 x c)) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64))) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c))) (.f64 x 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 (fma.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 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #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 (.f64 (*.f64 c c) x) x) s) s)
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* (pow s 2) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 s s) x))
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) x)
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) x)
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 x s) s) x) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) x)
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x s) s) (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) (/.f64 #s(literal -2 binary64) (.f64 s s))) (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 s s))) x)
(* (pow s 2) x)
(.f64 (.f64 s s) x)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) x) s)
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) s) (.f64 (.f64 s c) c))
(* c (* s x))
(.f64 (.f64 s x) c)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
x
(* x (+ 1 (* 2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 2 (* 10/3 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 10/3 (* 244/45 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 244/45 binary64) (.f64 x x) #s(literal 10/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) x)) (.f64 (*.f64 s c) c))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (cos (* 2 x)) (* (pow s 2) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 s s) x))
(/ x (cos (* 2 x)))
(/.f64 x (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(/ 1 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)
(* c s)
(*.f64 s c)

rewrite275.0ms (3.5%)

Memory

-10.1MiB live, 148.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	238
0	74	222
1	252	202
2	1304	188
0	8215	188

Stop Event

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

Counts

25 → 1 692

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (sin.f64 x)))
(.f64 (pow.f64 (/.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (.f64 (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))) (fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))))
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 x) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x)) #s(literal -1 binary64)))

eval216.0ms (2.7%)

Memory: 17.7MiB live, 258.7MiB allocated
Compiler: Compiled 29 962 to 3 382 computations (88.7% saved)

prune77.0ms (1%)

Memory

-11.2MiB live, 148.1MiB allocated

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	1 188	37	1 225
Fresh	16	4	20
Picked	5	0	5
Done	0	0	0
Total	1 209	41	1 250

Accuracy

100.0%

Counts

1 250 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
	73.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 (*.f64 c x) c))
	78.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (.f64 (.f64 (*.f64 c c) x) s))
	74.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (.f64 (.f64 (neg.f64 c) x) c) (*.f64 (neg.f64 s) s)))
	96.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	96.2%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
	82.4%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (neg.f64 c) x) c) (.f64 (.f64 (neg.f64 s) x) s)))
	89.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (.f64 s c)))
	80.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 (.f64 (neg.f64 c) x) x)))
	65.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (.f64 s s)))
	72.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
	94.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 s x)) (sqrt.f64 c)) (.f64 (sqrt.f64 (.f64 s x)) (sqrt.f64 c))) (.f64 (.f64 x c) s))))
	94.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s x) c))))
	93.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	46.5%	(/.f64 #s(approx (/ (cos (* x 2)) (* x (* s s))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s s))) x)) (.f64 x (*.f64 c c)))
	59.4%	(/.f64 #s(approx (/ (cos (* x 2)) (* x (* s s))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s s) x))) (.f64 x (.f64 c c)))
	63.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	71.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c)))
▶	77.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	73.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (.f64 s s) x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 c) x) c)))
▶	96.9%	(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
	76.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) #s(literal -1 binary64)) c))
	70.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 c c) x) s)))
	71.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 c c)))
	67.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) (.f64 x x)))
	63.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 c x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 s s) x) c)))
	74.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x) x))
▶	60.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 s #s(literal -2 binary64)) x) (.f64 (.f64 c c) x)))
▶	65.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) x) s) s))
	72.8%	#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 x x)) (.f64 (.f64 s c) c)) s))
	69.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (.f64 (.f64 (*.f64 s c) s) (neg.f64 x))))
	63.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (neg.f64 (pow.f64 s #s(literal -2 binary64))) x) (.f64 (.f64 (neg.f64 c) x) c)))
▶	81.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) x)) (.f64 (*.f64 s c) c)))
	62.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	65.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 c) x) x)) (.f64 (.f64 s c) s)))
	65.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
	69.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
	43.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x)))
	67.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))))
	62.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 (neg.f64 s) c) s))))

Compiler

Compiled 2 090 to 1 442 computations (31% saved)

simplify25.0ms (0.3%)

Memory

2.1MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	348
0	78	348
1	133	348
2	262	348
3	518	348
4	829	348
5	849	348
6	849	348
7	990	348
8	990	348
0	990	348

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize160.0ms (2%)

Memory

5.3MiB live, 233.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 (.f64 s c) c)
accuracy	0.1171875	(.f64 (.f64 s x) x)
accuracy	0.3120468910937124	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 s x) x))
accuracy	11.85767549600706	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) x)) (.f64 (*.f64 s c) c))
accuracy	7.93887115275629	(.f64 (.f64 c c) x)
accuracy	8.730873404057874	(/.f64 (pow.f64 s #s(literal -2 binary64)) x)
accuracy	10.551786374432437	(/.f64 (/.f64 (pow.f64 s #s(literal -2 binary64)) x) (.f64 (.f64 c c) x))
accuracy	12.50690933715309	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 s #s(literal -2 binary64)) x) (.f64 (.f64 c c) x)))
accuracy	4.031372314649028	(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) x) s)
accuracy	4.955109799061142	(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) x) s) s)
accuracy	7.5184992441044365	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x)
accuracy	12.50690933715309	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) x) s) s))
accuracy	0.17644501953688402	(.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))
accuracy	0.2782001099949061	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
accuracy	6.960075043461371	(.f64 (.f64 x c) s)
accuracy	27.592527590224876	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0703125	(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))
accuracy	0.19207001953688402	(pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))
accuracy	6.960075043461371	(.f64 (.f64 c x) s)

Samples

127.0ms

256×

valid

Compiler

Compiled 627 to 91 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-cos: 33.0ms (38.6% of total)

ival-mult: 27.0ms (31.6% of total)

ival-div: 15.0ms (17.6% of total)

ival-pow: 5.0ms (5.9% of total)

ival-pow2: 4.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series193.0ms (2.4%)

Memory

1.6MiB live, 87.7MiB allocated

Counts

26 → 26

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
146.0ms	s	@	inf	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (/ (/ (/ 1 c) c) x) x) s) s) (/ (/ (/ (/ (/ 1 c) c) x) x) s) (/ (/ (/ (/ 1 c) c) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow s -2) x) (pow s -2) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* (* s x) x)) (* (* s c) c)) (/ (cos (* 2 x)) (* (* s x) x)) (cos (* 2 x)) (cos (* x 2)) (* (* x c) s) (/ (/ (/ 1 c) c) x) (/ (/ (pow s -2) x) (* (* c c) x)) (* (* s x) x) (* (* s c) c))
12.0ms	s	@	-inf	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (/ (/ (/ 1 c) c) x) x) s) s) (/ (/ (/ (/ (/ 1 c) c) x) x) s) (/ (/ (/ (/ 1 c) c) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow s -2) x) (pow s -2) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* (* s x) x)) (* (* s c) c)) (/ (cos (* 2 x)) (* (* s x) x)) (cos (* 2 x)) (cos (* x 2)) (* (* x c) s) (/ (/ (/ 1 c) c) x) (/ (/ (pow s -2) x) (* (* c c) x)) (* (* s x) x) (* (* s c) c))
9.0ms	c	@	0	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (/ (/ (/ 1 c) c) x) x) s) s) (/ (/ (/ (/ (/ 1 c) c) x) x) s) (/ (/ (/ (/ 1 c) c) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow s -2) x) (pow s -2) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* (* s x) x)) (* (* s c) c)) (/ (cos (* 2 x)) (* (* s x) x)) (cos (* 2 x)) (cos (* x 2)) (* (* x c) s) (/ (/ (/ 1 c) c) x) (/ (/ (pow s -2) x) (* (* c c) x)) (* (* s x) x) (* (* s c) c))
5.0ms	x	@	-inf	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (/ (/ (/ 1 c) c) x) x) s) s) (/ (/ (/ (/ (/ 1 c) c) x) x) s) (/ (/ (/ (/ 1 c) c) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow s -2) x) (pow s -2) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* (* s x) x)) (* (* s c) c)) (/ (cos (* 2 x)) (* (* s x) x)) (cos (* 2 x)) (cos (* x 2)) (* (* x c) s) (/ (/ (/ 1 c) c) x) (/ (/ (pow s -2) x) (* (* c c) x)) (* (* s x) x) (* (* s c) c))
4.0ms	x	@	0	((* (pow (* (* c x) s) -2) (cos (* x 2))) (pow (* (* c x) s) -2) (* (* c x) s) (* c x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* x c) s) (* (* x c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (/ (/ (/ 1 c) c) x) x) s) s) (/ (/ (/ (/ (/ 1 c) c) x) x) s) (/ (/ (/ (/ 1 c) c) x) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow s -2) x) (pow s -2) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (cos (* 2 x)) (* (* s x) x)) (* (* s c) c)) (/ (cos (* 2 x)) (* (* s x) x)) (cos (* 2 x)) (cos (* x 2)) (* (* x c) s) (/ (/ (/ 1 c) c) x) (/ (/ (pow s -2) x) (* (* c c) x)) (* (* s x) x) (* (* s c) c))

simplify221.0ms (2.8%)

Memory

3.9MiB live, 234.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	355
1	198	355
2	580	339
3	2192	327
4	3975	319
0	8223	301

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

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

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

rewrite202.0ms (2.5%)

Memory

-22.0MiB live, 229.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	301
0	78	277
1	241	247
2	1297	231
0	8009	231

Stop Event

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

Counts

26 → 1 935

Calls

Call 1

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

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

eval211.0ms (2.7%)

Memory: 9.4MiB live, 326.3MiB allocated
Compiler: Compiled 32 644 to 4 007 computations (87.7% saved)

prune91.0ms (1.1%)

Memory

-2.4MiB live, 156.3MiB allocated

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	1 188	29	1 217
Fresh	17	19	36
Picked	3	2	5
Done	0	0	0
Total	1 208	50	1 258

Accuracy

100.0%

Counts

1 258 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.7%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) x)) c) (.f64 s c))
	85.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
	73.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 (*.f64 c x) c))
	96.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) s)) (.f64 (*.f64 x c) s))
	84.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s x)) (.f64 (.f64 (*.f64 s c) c) x))
	96.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	82.4%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (neg.f64 c) x) c) (.f64 (.f64 (neg.f64 s) x) s)))
	89.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (.f64 s c)))
	80.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 (.f64 (neg.f64 c) x) x)))
▶	65.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (.f64 s s)))
	72.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
	94.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s x) c))))
	93.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x))))
	46.5%	(/.f64 #s(approx (/ (cos (* x 2)) (* x (* s s))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s s))) x)) (.f64 x (*.f64 c c)))
	63.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	60.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (/.f64 (.f64 s s) (/.f64 #s(literal -1 binary64) c)) (.f64 x (.f64 (neg.f64 c) x)))))
	65.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))))
	75.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) s) s) (*.f64 x c))))
	62.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s s) x) (*.f64 (neg.f64 c) x)) (neg.f64 c))))
	75.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))))
	70.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (neg.f64 c) x) c) (.f64 s (*.f64 (neg.f64 s) x)))))
	68.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) (.f64 s c)) (*.f64 s c))))
	57.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 c (*.f64 s s)))))
✓	77.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	74.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) x) (.f64 (*.f64 s c) c))))
	59.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))))
▶	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))))
	75.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 s (.f64 (.f64 (*.f64 s c) c) (neg.f64 x))) (neg.f64 x))))
	56.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c c) (/.f64 (*.f64 x x) (pow.f64 s #s(literal -2 binary64))))))
	73.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (.f64 s s) x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 c) x) c)))
▶	97.0%	(.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))
✓	96.9%	(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 x c) s) #s(literal -2 binary64)))
	74.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 x c) s) #s(literal -1 binary64)) (*.f64 x c)) s))
	74.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x) x))
	68.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 c) x) c)) s) s))
▶	68.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x)) (.f64 x c)) s) s))
	59.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) x) (.f64 (*.f64 c c) x)))
	68.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (/.f64 (/.f64 #s(literal -1 binary64) x) c)) s) s))
	60.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) s) (/.f64 #s(literal -1 binary64) s)) x) (.f64 (*.f64 c c) x)))
	62.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	65.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 c) x) x)) (.f64 (.f64 s c) s)))
	65.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
	69.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
	43.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x)))
▶	67.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))) (.f64 (.f64 c c) x)))
	59.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* s x) x)) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) s) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) s)) x) x)) (.f64 (*.f64 s c) c)))
	74.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* s x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) x))) (.f64 (.f64 s c) c)))
	74.7%	#s(approx (* (pow (* (* c x) s) -2) (cos (* x 2))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) x)) s) c) c))
	82.5%	#s(approx (* (pow (* (* c x) s) -2) (cos (* x 2))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) s)) (.f64 (*.f64 x c) c)))

Compiler

Compiled 2 680 to 1 801 computations (32.8% saved)

simplify224.0ms (2.8%)

Memory

8.4MiB live, 83.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x (*.f64 c c)) x)
cost-diff	0	(.f64 (.f64 (.f64 x (.f64 c c)) x) (*.f64 s 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 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x)) (.f64 x c)) s)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x)) (.f64 x c)) s) s))
cost-diff	704	(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x))
cost-diff	768	(/.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x)) (.f64 x c)) s) s)
cost-diff	0	(.f64 (.f64 s x) s)
cost-diff	0	#s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s)))
cost-diff	0	(/.f64 #s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))) (.f64 (.f64 c c) x))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))) (.f64 (.f64 c c) x)))
cost-diff	0	(.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x)))
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)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))))
cost-diff	0	(*.f64 s x)
cost-diff	0	(.f64 (.f64 s x) c)
cost-diff	0	(pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	371
0	83	371
1	150	361
2	329	361
3	773	361
4	1576	361
5	2245	361
6	3144	361
7	3653	361
8	4396	361
9	5401	361
10	6104	361
11	6448	361
12	6520	361
13	6633	361
14	6649	361
15	7017	361
16	7032	361
17	7037	361
18	7037	361
19	7342	361
20	7343	361
21	7359	361
22	7365	361
0	7365	361

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (1.8%)

Memory

24.5MiB live, 266.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2782001099949061	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (.f64 s s)))
accuracy	3.2059949894133704	(.f64 (.f64 x (*.f64 c c)) x)
accuracy	7.93887115275629	(.f64 x (.f64 c c))
accuracy	14.97520355926146	(.f64 (.f64 (.f64 x (.f64 c c)) x) (*.f64 s s))
accuracy	0.2421875	(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x))
accuracy	4.031372314649028	(/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x)) (.f64 x c)) s)
accuracy	4.955109799061142	(/.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x)) (.f64 x c)) s) s)
accuracy	12.50690933715309	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) x)) (.f64 x c)) s) s))
accuracy	0.6489405115748622	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))
accuracy	7.93887115275629	(.f64 (.f64 c c) x)
accuracy	10.551786374432437	(/.f64 #s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))) (.f64 (.f64 c c) x))
accuracy	12.50690933715309	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))) (.f64 (.f64 c c) x)))
accuracy	0.12890625	(.f64 (.f64 s c) s)
accuracy	0.2782001099949061	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))))
accuracy	12.636525143244274	(.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))
accuracy	27.592527590224876	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0703125	(.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))
accuracy	0.19207001953688402	(pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64))
accuracy	4.602262166535078	(.f64 (.f64 s x) c)

Samples

98.0ms

256×

valid

Compiler

Compiled 664 to 100 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 38.0ms (51.7% of total)

ival-div: 14.0ms (19.1% of total)

ival-cos: 10.0ms (13.6% of total)

ival-pow2: 6.0ms (8.2% of total)

ival-pow: 5.0ms (6.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series66.0ms (0.8%)

Memory

-8.2MiB live, 67.1MiB allocated

Counts

26 → 21

Calls

Call 1

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

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))
(* c (* s x))
(* 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)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow s 2) x))
(* (pow s 2) x)
(/ 1 (* c x))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(* 2 x)
(* (pow c 2) (pow x 2))
(* (pow c 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(* c (pow s 2))

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	s	@	0	((* (pow (* (* s x) c) -2) (cos (* x 2))) (pow (* (* s x) c) -2) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) s) (* (* x c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow s -2) x) (* (* c c) x)) (/ (pow s -2) x) (* (* s x) s) (/ (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) s) (* (/ -1 c) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) (cos (* 2 x)) (* 2 x) (* (* (* x (* c c)) x) (* s s)) (* (* x (* c c)) x) (cos (* x 2)) (* (* s c) s) (* (* c c) x) (/ 1 (* (* s x) s)) (* x (* c c)) (/ (cos (* 2 x)) (* (* (* x (* c c)) x) (* s s))))
5.0ms	x	@	inf	((* (pow (* (* s x) c) -2) (cos (* x 2))) (pow (* (* s x) c) -2) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) s) (* (* x c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow s -2) x) (* (* c c) x)) (/ (pow s -2) x) (* (* s x) s) (/ (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) s) (* (/ -1 c) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) (cos (* 2 x)) (* 2 x) (* (* (* x (* c c)) x) (* s s)) (* (* x (* c c)) x) (cos (* x 2)) (* (* s c) s) (* (* c c) x) (/ 1 (* (* s x) s)) (* x (* c c)) (/ (cos (* 2 x)) (* (* (* x (* c c)) x) (* s s))))
4.0ms	x	@	-inf	((* (pow (* (* s x) c) -2) (cos (* x 2))) (pow (* (* s x) c) -2) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) s) (* (* x c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow s -2) x) (* (* c c) x)) (/ (pow s -2) x) (* (* s x) s) (/ (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) s) (* (/ -1 c) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) (cos (* 2 x)) (* 2 x) (* (* (* x (* c c)) x) (* s s)) (* (* x (* c c)) x) (cos (* x 2)) (* (* s c) s) (* (* c c) x) (/ 1 (* (* s x) s)) (* x (* c c)) (/ (cos (* 2 x)) (* (* (* x (* c c)) x) (* s s))))
4.0ms	c	@	-inf	((* (pow (* (* s x) c) -2) (cos (* x 2))) (pow (* (* s x) c) -2) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) s) (* (* x c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow s -2) x) (* (* c c) x)) (/ (pow s -2) x) (* (* s x) s) (/ (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) s) (* (/ -1 c) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) (cos (* 2 x)) (* 2 x) (* (* (* x (* c c)) x) (* s s)) (* (* x (* c c)) x) (cos (* x 2)) (* (* s c) s) (* (* c c) x) (/ 1 (* (* s x) s)) (* x (* c c)) (/ (cos (* 2 x)) (* (* (* x (* c c)) x) (* s s))))
4.0ms	s	@	-inf	((* (pow (* (* s x) c) -2) (cos (* x 2))) (pow (* (* s x) c) -2) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* s c) s) (* (* x c) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow s -2) x) (* (* c c) x)) (/ (pow s -2) x) (* (* s x) s) (/ (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) s) (* (/ -1 c) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (* (/ -1 c) (/ -1 x)) (* x c)) s) (cos (* 2 x)) (* 2 x) (* (* (* x (* c c)) x) (* s s)) (* (* x (* c c)) x) (cos (* x 2)) (* (* s c) s) (* (* c c) x) (/ 1 (* (* s x) s)) (* x (* c c)) (/ (cos (* 2 x)) (* (* (* x (* c c)) x) (* s s))))

simplify198.0ms (2.5%)

Memory

-8.9MiB live, 201.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	263
1	145	263
2	438	249
3	1798	239
4	4050	231
5	6329	231
0	8077	219

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

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))
(* c (* s x))
(* 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)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow s 2) x))
(* (pow s 2) x)
(/ 1 (* c x))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(* 2 x)
(* (pow c 2) (pow x 2))
(* (pow c 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(* c (pow s 2))

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

rewrite152.0ms (1.9%)

Memory

18.5MiB live, 212.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	304
0	83	286
1	253	274
2	1262	234
3	7145	234
0	8026	234

Stop Event

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

Counts

26 → 1 569

Calls

Call 1

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

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

eval112.0ms (1.4%)

Memory: 13.0MiB live, 242.4MiB allocated
Compiler: Compiled 28 328 to 3 469 computations (87.8% saved)

prune93.0ms (1.2%)

Memory

-14.0MiB live, 239.5MiB allocated

Pruning

53 alts after pruning (50 fresh and 3 done)

	Pruned	Kept	Total
New	1 037	22	1 059
Fresh	15	28	43
Picked	3	2	5
Done	1	1	2
Total	1 056	53	1 109

Accuracy

100.0%

Counts

1 109 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.6%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 s s))) (.f64 (*.f64 c x) c))
	81.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c x) x) s) s)) c)
	96.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) s)) (.f64 (*.f64 x c) s))
	84.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s x)) (.f64 (.f64 (*.f64 s c) c) x))
	96.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 x s))) (.f64 c (*.f64 x s)))
	84.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (.f64 (.f64 (*.f64 x s) s) c))
	65.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x (.f64 c c)) x) (*.f64 s s)))
	96.6%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	82.4%	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (neg.f64 c) x) c) (.f64 (.f64 (neg.f64 s) x) s)))
	73.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) x) c) (.f64 s s)))
	89.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) x) (.f64 s c)))
	75.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (.f64 s s)))
	94.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s x) c))))
	46.5%	(/.f64 #s(approx (/ (cos (* x 2)) (* x (* s s))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s s))) x)) (.f64 x (*.f64 c c)))
	51.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))))
	63.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	80.0%	(/.f64 #s(approx (cos (* 2 x)) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))))
	63.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (/.f64 (/.f64 (*.f64 s s) (/.f64 (/.f64 #s(literal -1 binary64) x) c)) (/.f64 (/.f64 #s(literal -1 binary64) x) c))))
	63.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (/.f64 (.f64 s s) (/.f64 (/.f64 #s(literal -1 binary64) x) c)) (*.f64 (neg.f64 x) c))))
	62.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x x) s) s) (*.f64 c c))))
	71.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x s) s) c) (*.f64 c x))))
	62.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s s) x) (*.f64 (neg.f64 c) x)) (neg.f64 c))))
	75.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s c) c) x) (*.f64 s x))))
	68.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 c s))))
	70.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 x s))))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (sqrt.f64 c) s) (.f64 (sqrt.f64 c) s)) (.f64 (.f64 x c) x))))
	68.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) (.f64 s c)) (*.f64 s c))))
	57.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 c (*.f64 s s)))))
✓	77.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s))))
	74.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) x) (.f64 (*.f64 s c) c))))
✓	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s c) s) (.f64 (*.f64 x c) x))))
	75.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 s (.f64 (.f64 (*.f64 s c) c) (neg.f64 x))) (neg.f64 x))))
	80.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (*.f64 x s))))))
	73.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (.f64 s s) x) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 c) x) c)))
	92.6%	(.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) (.f64 s (.f64 (.f64 (neg.f64 x) c) s))) (cos.f64 (*.f64 x #s(literal 2 binary64))))
	74.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x) x))
	72.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (neg.f64 x)) c) s))
	68.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 c) x) c)) s) s))
	68.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 c x) x) s)) c) s))
	59.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) x) (.f64 (*.f64 c c) x)))
	69.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 (.f64 (*.f64 c c) x) s))) s))
	60.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) s) (/.f64 #s(literal -1 binary64) s)) x) (.f64 (*.f64 c c) x)))
	62.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s)))
	65.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 c) x) x)) (.f64 (.f64 s c) s)))
	65.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 (.f64 (neg.f64 c) x) x)))
	69.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 (neg.f64 s) c) s) (.f64 c x))))
	43.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) c)) (.f64 x x)))
	70.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))) (.f64 (.f64 (*.f64 c x) (sqrt.f64 c)) (sqrt.f64 c))))
✓	67.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (pow s -2) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) s))) (.f64 (.f64 c c) x)))
	59.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* s x) x)) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) s) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) s)) x) x)) (.f64 (*.f64 s c) c)))
	74.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (cos (* 2 x)) (* (* s x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) x))) (.f64 (.f64 s c) c)))
	60.6%	#s(approx (* (pow (* (* s x) c) -2) (cos (* x 2))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) c) (.f64 (*.f64 c x) x)))
	74.7%	#s(approx (* (pow (* (* c x) s) -2) (cos (* x 2))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) x)) s) c) c))

Compiler

Compiled 4 410 to 1 475 computations (66.6% saved)

regimes178.0ms (2.2%)

Memory

-29.4MiB live, 286.6MiB allocated

Counts

114 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

30.0ms	c
30.0ms	x
29.0ms	s
28.0ms	(pow.f64 s #s(literal 2 binary64))
28.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
97.0%	1	`c`
98.7%	2	`s`
98.9%	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)))`
97.0%	1	`(pow.f64 c #s(literal 2 binary64))`
97.0%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes27.0ms (0.3%)

Memory

36.3MiB live, 36.3MiB allocated

Counts

94 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.4%)

Memory

-7.9MiB live, 30.3MiB allocated

Counts

83 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x c) s) (*.f64 (*.f64 x c) s))))

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes173.0ms (2.2%)

Memory

-25.4MiB live, 104.6MiB allocated

Counts

62 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

57.0ms	s
46.0ms	(pow.f64 c #s(literal 2 binary64))
23.0ms	x
16.0ms	c
15.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.1%	1	`(pow.f64 c #s(literal 2 binary64))`
80.1%	1	`c`
80.1%	1	`(pow.f64 s #s(literal 2 binary64))`
80.1%	1	`s`
82.7%	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)))`
80.1%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes13.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total -16.5b remaining (-129.7%)

Threshold costs -16.5b (-129.7%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(pow.f64 c #s(literal 2 binary64))
6.0ms	(/.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
80.1%	1	`(pow.f64 c #s(literal 2 binary64))`
80.1%	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 19 to 17 computations (10.5% saved)

bsearch5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	3.733657427551923e-43	5.2835523630969495e-43

Samples

2.0ms

32×

valid

Compiler

Compiled 103 to 82 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (59.5% of total)

ival-pow2: 1.0ms (59.5% 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)

bsearch9.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.92815583662187e-10	4.753434516645422e-10

Samples

5.0ms

64×

valid

Compiler

Compiled 203 to 142 computations (30% saved)

Precisions

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

ival-cos: 1.0ms (29% of total)

ival-mult: 1.0ms (29% of total)

ival-pow2: 1.0ms (29% of total)

ival-div: 0.0ms (0% 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.92815583662187e-10	4.753434516645422e-10

Compiler

Compiled 251 to 166 computations (33.9% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.065748703530146e-142	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify43.0ms (0.5%)

Memory

-10.7MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	272
1	73	272

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (.f64 x s)))))) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (.f64 x s)))))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) s)) (.f64 (.f64 x c) s)))
(if (<=.f64 x #s(literal 1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (.f64 x s)))))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x 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 -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (*.f64 x s)))))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (*.f64 x s))))))

Outputs
(if (<=.f64 x #s(literal 5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (.f64 x s)))))) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 s x)) c))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c x) s) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (.f64 x s)))))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) s)) (.f64 (.f64 x c) s)))
(if (<=.f64 x #s(literal 1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 s x)) c))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (.f64 c x) s)))
(if (<=.f64 x #s(literal 1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (.f64 x s)))))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 x c) s)))))
(if (<=.f64 x #s(literal 1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (.f64 s x)) c))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) 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 -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (*.f64 x s)))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s)))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s x)) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 x s) (.f64 c (*.f64 x s))))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s x)) c)))

soundness1.3s (16%)

Memory

2.5MiB live, 519.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	304
0	83	286
1	253	274
2	1262	234
3	7145	234
0	8026	234
0	50	228
1	117	228
2	383	214
3	1948	204
4	4752	196
5	6888	196
0	8107	184
0	48	301
0	78	277
1	241	247
2	1297	231
0	8009	231
0	84	355
1	198	355
2	580	339
3	2192	327
4	3975	319
0	8223	301
0	12	52
0	20	52
1	55	52
2	217	48
3	1946	42
0	8396	42
0	45	238
0	74	222
1	252	202
2	1304	188
0	8215	188
0	99	420
1	253	420
2	754	394
3	3190	380
4	5833	380
0	8080	356

Stop Event

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

Compiler

Compiled 879 to 442 computations (49.7% saved)

preprocess185.0ms (2.3%)

Memory: 7.8MiB live, 166.1MiB allocated
Compiler: Compiled 1 312 to 612 computations (53.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	45	296
0	74	300
1	137	282
2	277	278
3	544	278
4	864	278
5	881	278
6	881	278
7	990	278
8	990	278
0	990	278

Iter	Nodes	Cost
0	48	348
0	78	348
1	133	348
2	262	348
3	518	348
4	829	348
5	849	348
6	849	348
7	990	348
8	990	348
0	990	348

Iter	Nodes	Cost
0	45	296
0	74	300
1	137	282
2	277	278
3	544	278
4	864	278
5	881	278
6	881	278
7	990	278
8	990	278
0	990	278

Iter	Nodes	Cost
0	48	348
0	78	348
1	133	348
2	262	348
3	518	348
4	829	348
5	849	348
6	849	348
7	990	348
8	990	348
0	990	348

start0.0ms (0%)

analyze138.0ms (1.7%)

sample1.7s (21%)

explain388.0ms (4.9%)

preprocess62.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.1%)

localize44.0ms (0.6%)

series40.0ms (0.5%)

simplify167.0ms (2.1%)

rewrite228.0ms (2.9%)

eval102.0ms (1.3%)

prune73.0ms (0.9%)

simplify45.0ms (0.6%)

localize162.0ms (2%)

series47.0ms (0.6%)

simplify154.0ms (1.9%)

rewrite275.0ms (3.5%)

eval216.0ms (2.7%)

prune77.0ms (1%)

simplify25.0ms (0.3%)

localize160.0ms (2%)

series193.0ms (2.4%)

simplify221.0ms (2.8%)

rewrite202.0ms (2.5%)

eval211.0ms (2.7%)

prune91.0ms (1.1%)

simplify224.0ms (2.8%)

localize140.0ms (1.8%)

series66.0ms (0.8%)

simplify198.0ms (2.5%)

rewrite152.0ms (1.9%)

eval112.0ms (1.4%)

prune93.0ms (1.2%)

regimes178.0ms (2.2%)

regimes27.0ms (0.3%)

regimes28.0ms (0.4%)

regimes173.0ms (2.2%)

regimes13.0ms (0.2%)

bsearch5.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify43.0ms (0.5%)

soundness1.3s (16%)

preprocess185.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	45	296
0	74	300
1	137	282
2	277	278
3	544	278
4	864	278
5	881	278
6	881	278
7	990	278
8	990	278
0	990	278

Iter	Nodes	Cost
0	48	348
0	78	348
1	133	348
2	262	348
3	518	348
4	829	348
5	849	348
6	849	348
7	990	348
8	990	348
0	990	348