Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze222.0ms (2.4%)

Memory

4.6MiB live, 205.0MiB 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)

sample1.8s (19.1%)

Memory

-4.8MiB live, 1 526.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 728.0ms

ival-mult: 249.0ms (34.2% of total)

ival-pow2: 214.0ms (29.4% of total)

ival-cos: 202.0ms (27.7% of total)

ival-div: 48.0ms (6.6% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain319.0ms (3.5%)

Memory

1.0MiB live, 286.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
65	1	(1.5198731667644163e-223 93529862.3403251 3.0590065736396892e+53)	3	(-1.505702841836812e+228 1.509641657937996e-159 2.0214536424051938e-75)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
36	0	-	0	-	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
9	0	-	1	(2.1688234642971162e+166 -1.3581179812825795e-208 -3.2173393263005015e-239)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	124	(6.862904440803289e+221 -3.0572336285087734e+91 -3.0356883101805287e+299)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
1	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	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	124	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	22	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	19	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	17	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	67
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	61
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	62
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	14	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	14	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	55
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	69
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	50
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	59
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	13	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	5	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	3	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	55
↳	`(.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	61
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	62
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	oflow-rescue	1	0
↳	`(*.f64 #s(literal 2 binary64) x)`	overflow	1

Confusion

	Predicted +	Predicted -
+	91	2
-	84	79

Precision

0.52

Recall

0.978494623655914

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	0	2
-	84	0	79

Precision?

0.52

Recall?

0.978494623655914

Freqs

test

number	freq
0	81
1	119
2	54
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

158.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 12.0ms (33.4% of total)

ival-cos: 11.0ms (30.6% of total)

ival-pow2: 10.0ms (27.8% of total)

ival-div: 3.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess48.0ms (0.5%)

Memory

9.1MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	168
1	133	161
2	473	147
3	2303	147
4	6298	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

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(/.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

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	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

localize66.0ms (0.7%)

Memory

11.6MiB live, 50.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2804694063291675	(/.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	2.6609133372005846	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	6.242529115418382	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	16.07903356782274	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

58.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-mult: 6.0ms (34.2% of total)

ival-cos: 5.0ms (28.5% of total)

ival-pow2: 4.0ms (22.8% of total)

ival-div: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

-0.9MiB live, 35.6MiB allocated

Counts

6 → 14

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	s	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms	x	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	s	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify199.0ms (2.2%)

Memory

-32.2MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	222
1	117	222
2	389	208
3	1965	198
4	4758	190
5	6924	190
0	8021	178

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite232.0ms (2.5%)

Memory

1.0MiB live, 237.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	55	46
2	219	42
3	2026	36
0	8241	36

Stop Event

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

Counts

6 → 479

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)) #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 c #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (*.f64 s s) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 c #s(literal -2 binary64)) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 s x) #s(literal 2 binary64))))
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(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 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)))) #s(literal 1 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)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.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)))) (/.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)))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 x x)
(.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c))
(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
(.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s x))
(.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s))
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(.f64 (.f64 x (.f64 (.f64 c c) x)) (*.f64 s s))
(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
(.f64 (neg.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (neg.f64 x))) x)
(.f64 (neg.f64 (.f64 (neg.f64 c) c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)))) (*.f64 c c))
(.f64 (.f64 s x) (.f64 s (.f64 (*.f64 c c) x)))
(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (/.f64 c #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(.f64 (.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 c c) x) (/.f64 (.f64 (*.f64 s s) x) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s s) x))
(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)))
(.f64 (neg.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 (neg.f64 c) c))
(.f64 (.f64 (neg.f64 c) c) (neg.f64 (pow.f64 (*.f64 s 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 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (/.f64 (*.f64 c c) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 c) c)))
(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(.f64 (.f64 (.f64 s s) x) (/.f64 (.f64 (*.f64 c c) x) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))
(.f64 (.f64 s s) (pow.f64 (*.f64 x c) #s(literal 2 binary64)))
(.f64 (.f64 s s) (.f64 x (.f64 (*.f64 c c) x)))
(.f64 s (.f64 (.f64 s x) (.f64 (*.f64 c c) x)))
(.f64 (.f64 c c) (/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 c c) (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(.f64 (.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(.f64 c (/.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) #s(literal 1 binary64)))
(.f64 c (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(.f64 x (/.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(.f64 x (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (*.f64 s x) (sqrt.f64 s)) (sqrt.f64 s))
(.f64 (.f64 s x) s)
(.f64 (sqrt.f64 s) (.f64 (sqrt.f64 s) (*.f64 s x)))
(.f64 (.f64 s s) x)
(.f64 s (.f64 s x))
(.f64 x (.f64 s s))
(.f64 (.f64 (*.f64 x x) s) s)
(.f64 (.f64 x (*.f64 s x)) s)
(.f64 (.f64 s x) (*.f64 s x))
(.f64 (.f64 x x) (*.f64 s s))
(.f64 (.f64 (*.f64 s s) x) x)
(.f64 (.f64 s s) (*.f64 x x))
(.f64 s (.f64 (*.f64 s x) x))
(.f64 s (.f64 s (*.f64 x x)))
(.f64 x (.f64 (*.f64 s s) x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))

eval83.0ms (0.9%)

Memory: 2.6MiB live, 119.9MiB allocated
Compiler: Compiled 12 423 to 1 496 computations (88% saved)

prune26.0ms (0.3%)

Memory

3.7MiB live, 77.6MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	468	25	493
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	25	494

Accuracy

99.9%

Counts

494 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.3%	(pow.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	73.2%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
	83.7%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
	69.1%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x))
▶	96.5%	(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	82.2%	(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #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)))
	74.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (.f64 c c)))
▶	83.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
	82.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
▶	83.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c)))
	74.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
▶	75.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	69.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))
	79.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	95.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	43.0%	(-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	68.9%	(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 s s) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (.f64 (*.f64 c c) x)))
	96.1%	(.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)))))
	82.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (pow.f64 (/.f64 (neg.f64 x) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
	96.5%	(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
▶	59.1%	#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)))
	71.4%	#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))
	44.8%	#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 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
	39.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.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)))

Compiler

Compiled 1 006 to 714 computations (29% saved)

simplify112.0ms (1.2%)

Memory

-2.3MiB live, 200.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c)))
cost-diff	6	(.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
cost-diff	2	(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
cost-diff	4	(.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s 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	4	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
cost-diff	0	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	1	(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
cost-diff	2	(-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	324
0	82	312
1	155	286
2	372	283
3	2577	283
0	8304	283

Stop Event

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

Calls

Call 1

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

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

localize277.0ms (3%)

Memory

-5.5MiB live, 308.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2804694063291675	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c)))
accuracy	1.729098166137724	(.f64 (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c)) (sqrt.f64 c))
accuracy	3.0226503752801674	(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (sqrt.f64 c))
accuracy	5.4374516504805595	(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)
accuracy	0.2421917667272433	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.2804694063291675	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
accuracy	4.633769790857462	(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
accuracy	5.4374516504805595	(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c)
accuracy	0.2804694063291675	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
accuracy	4.0979577978505795	(.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s x))
accuracy	6.634686747128107	(.f64 (.f64 (*.f64 c c) x) s)
accuracy	8.827439068472223	(.f64 (.f64 c c) x)
accuracy	0.12109375	(.f64 (.f64 s c) s)
accuracy	6.42477108670731	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy	13.77344513760348	#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	14.666601144771178	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (.f64 (.f64 s c) s))
accuracy	0.2578125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.26076127930532605	(-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy	0.2804694063291675	(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
accuracy	4.187160003188803	(.f64 x (.f64 c s))

Samples

246.0ms

256×

valid

Compiler

Compiled 312 to 47 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 54.0ms (51.5% of total)

ival-pow2: 15.0ms (14.3% of total)

ival-div: 14.0ms (13.3% of total)

ival-cos: 11.0ms (10.5% of total)

ival-sin: 5.0ms (4.8% of total)

ival-neg: 3.0ms (2.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

ival-sub: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (1.1%)

Memory

4.0MiB live, 90.6MiB allocated

Counts

23 → 42

Calls

Call 1

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

Outputs
-1
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(/ 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))
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(/ 1 (* c (pow x 2)))
(/ 1 (pow x 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(+ 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)
(* c (* s x))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* (pow c 2) x)
(* (pow c 2) (* s x))
(* c (* (pow s 2) (pow x 2)))
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2)))
(- (pow (sin x) 2) (pow (cos x) 2))
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(* -1 (pow (cos x) 2))
(pow (cos x) 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(pow (sin x) 2)
(* c (pow s 2))
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	s	@	0	((- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (/ (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (neg (pow (* x (* c s)) 2))) (neg (pow (cos x) 2)) (pow (cos x) 2) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (* (* (* (* c c) x) s) (* s x)) (/ (cos (* 2 x)) (* (* (* (* c c) x) s) (* s x))) (cos (* 2 x)) (* 2 x) (* (* (pow (* s x) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c))) (* x (* c s)) (pow (sin x) 2) (* (* s c) s) (* (* c c) x) (* (* (* c c) x) s) (* (pow (* s x) 2) c) (* (* (pow (* s x) 2) c) (sqrt c)))
13.0ms	s	@	inf	((- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (/ (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (neg (pow (* x (* c s)) 2))) (neg (pow (cos x) 2)) (pow (cos x) 2) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (* (* (* (* c c) x) s) (* s x)) (/ (cos (* 2 x)) (* (* (* (* c c) x) s) (* s x))) (cos (* 2 x)) (* 2 x) (* (* (pow (* s x) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c))) (* x (* c s)) (pow (sin x) 2) (* (* s c) s) (* (* c c) x) (* (* (* c c) x) s) (* (pow (* s x) 2) c) (* (* (pow (* s x) 2) c) (sqrt c)))
13.0ms	x	@	inf	((- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (/ (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (neg (pow (* x (* c s)) 2))) (neg (pow (cos x) 2)) (pow (cos x) 2) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (* (* (* (* c c) x) s) (* s x)) (/ (cos (* 2 x)) (* (* (* (* c c) x) s) (* s x))) (cos (* 2 x)) (* 2 x) (* (* (pow (* s x) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c))) (* x (* c s)) (pow (sin x) 2) (* (* s c) s) (* (* c c) x) (* (* (* c c) x) s) (* (pow (* s x) 2) c) (* (* (pow (* s x) 2) c) (sqrt c)))
9.0ms	c	@	-inf	((- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (/ (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (neg (pow (* x (* c s)) 2))) (neg (pow (cos x) 2)) (pow (cos x) 2) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (* (* (* (* c c) x) s) (* s x)) (/ (cos (* 2 x)) (* (* (* (* c c) x) s) (* s x))) (cos (* 2 x)) (* 2 x) (* (* (pow (* s x) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c))) (* x (* c s)) (pow (sin x) 2) (* (* s c) s) (* (* c c) x) (* (* (* c c) x) s) (* (pow (* s x) 2) c) (* (* (pow (* s x) 2) c) (sqrt c)))
7.0ms	c	@	0	((- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (/ (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (neg (pow (* x (* c s)) 2))) (neg (pow (cos x) 2)) (pow (cos x) 2) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (* (* (* (* c c) x) s) (* s x)) (/ (cos (* 2 x)) (* (* (* (* c c) x) s) (* s x))) (cos (* 2 x)) (* 2 x) (* (* (pow (* s x) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (pow (* s x) 2) c) (sqrt c)) (sqrt c))) (* x (* c s)) (pow (sin x) 2) (* (* s c) s) (* (* c c) x) (* (* (* c c) x) s) (* (pow (* s x) 2) c) (* (* (pow (* s x) 2) c) (sqrt c)))

simplify136.0ms (1.5%)

Memory

-13.6MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	517
1	330	516
2	1098	488
3	5239	477
0	8119	444

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

Inputs
-1
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(/ 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))
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(/ 1 (* c (pow x 2)))
(/ 1 (pow x 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(+ 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)
(* c (* s x))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* (pow c 2) x)
(* (pow c 2) (* s x))
(* c (* (pow s 2) (pow x 2)))
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2)))
(- (pow (sin x) 2) (pow (cos x) 2))
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(* -1 (pow (cos x) 2))
(pow (cos x) 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(pow (sin x) 2)
(* c (pow s 2))
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(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))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 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 x c) s) (/.f64 (/.f64 x c) s)) (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 x c) s) (/.f64 (/.f64 x c) s)) (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))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 x x #s(literal -1 binary64)))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/ 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))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)
(+ 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)
(* c (* s x))
(.f64 (.f64 s x) c)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x))
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) (* s x))
(.f64 (.f64 (*.f64 c c) x) s)
(* c (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) c) s) s)
(* (sqrt (pow c 3)) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 c #s(literal 3 binary64))) (.f64 (.f64 s x) x)) s)
(- (pow (sin x) 2) (pow (cos x) 2))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) c) s) s)) c)
(* -1 (pow (cos x) 2))
(neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(* c (pow s 2))
(.f64 (.f64 s s) c)
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) x) s) s)
(* -1 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s)
(* -1 (* (sqrt (pow c 3)) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 c #s(literal 3 binary64))) (.f64 (.f64 s x) x)) s)

rewrite183.0ms (2%)

Memory

4.8MiB live, 237.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	226
0	82	238
1	265	172
2	1471	167
0	8586	167

Stop Event

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

Counts

23 → 2 171

Calls

Call 1

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

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

eval202.0ms (2.2%)

Memory: 32.2MiB live, 266.3MiB allocated
Compiler: Compiled 36 837 to 3 955 computations (89.3% saved)

prune156.0ms (1.7%)

Memory

2.4MiB live, 200.3MiB allocated

Pruning

45 alts after pruning (45 fresh and 0 done)

	Pruned	Kept	Total
New	1 367	41	1 408
Fresh	16	4	20
Picked	5	0	5
Done	0	0	0
Total	1 388	45	1 433

Accuracy

100.0%

Counts

1 433 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.7%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
▶	96.5%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	96.1%	(/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	96.3%	(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
	77.7%	(/.f64 (-.f64 (neg.f64 #s(approx (pow (cos x) 2) #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	96.4%	(/.f64 (+.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	96.4%	(/.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 s c) x))) (.f64 (*.f64 s c) x))
	75.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s x)))
	91.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (.f64 (.f64 s x) (sqrt.f64 c))) (sqrt.f64 c)) (sqrt.f64 c)))
	91.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (.f64 (*.f64 s x) (sqrt.f64 c))) c))
▶	89.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
	82.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (.f64 c x)))
	85.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) s) (.f64 s x)))
	96.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	79.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	73.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) (.f64 s (.f64 (.f64 x x) c))))
	91.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 s c) x)) (.f64 s x)))
	62.5%	(/.f64 #s(approx (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
	48.6%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s x)))
	54.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	96.1%	(.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)))))
	37.4%	#s(approx (/ (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (neg (pow (* x (* c s)) 2))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 x c) s)) (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)))
	59.5%	#s(approx (/ (- (neg (pow (cos x) 2)) (neg (pow (sin x) 2))) (neg (pow (* x (* c s)) 2))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 c c) x) x)) s) s))
	77.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64)))
	66.0%	#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)))
	62.0%	#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)))
	64.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 s #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) s) x)))
	64.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 s c)) (.f64 s c)))
	62.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (.f64 (.f64 s c) c)))
	59.1%	#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 (sqrt.f64 c) s) (*.f64 (sqrt.f64 c) s))))
	56.1%	#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 s) c)))
	61.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (neg.f64 x)) (.f64 (.f64 s c) s)))
	59.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 s c) s)))
	60.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 s c) s)) (neg.f64 c)))
▶	59.1%	#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)))
	61.5%	#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)))
	61.9%	#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 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (neg.f64 x))))
	66.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 (.f64 (.f64 s c) s) (.f64 c x)))))
▶	72.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
	44.8%	#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 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
▶	61.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 s c) s)))
	66.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 c x)))
	77.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))
	65.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (pow.f64 (.f64 s x) #s(literal -2 binary64)))))

Compiler

Compiled 2 298 to 1 592 computations (30.7% saved)

simplify179.0ms (1.9%)

Memory

-28.5MiB live, 251.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
cost-diff	4	(.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s)
cost-diff	0	(.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) c)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
cost-diff	3	(/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) c) x)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 s c) s)))
cost-diff	2	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x))
cost-diff	4	(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 s c) s))
cost-diff	0	(.f64 (.f64 x x) c)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
cost-diff	0	#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)))
cost-diff	4	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s))
cost-diff	0	(sin.f64 x)
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	1	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	340
0	83	328
1	165	298
2	448	292
3	2145	291
4	5589	291
0	8281	291

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.6%)

Memory

-11.5MiB live, 274.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2421917667272433	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.2804694063291675	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
accuracy	4.187160003188803	(.f64 (.f64 s c) x)
accuracy	4.61913949670347	(.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s)
accuracy	0.189785009768442	(pow.f64 (*.f64 s x) #s(literal 2 binary64))
accuracy	4.856815930991381	(/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64))))
accuracy	5.4374516504805595	(.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))
accuracy	13.77344513760348	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (pow.f64 (.f64 s x) #s(literal 2 binary64)))))
accuracy	0.1640625	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x))
accuracy	0.234375	(/.f64 (/.f64 #s(literal -1 binary64) c) x)
accuracy	13.77344513760348	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 s c) s)))
accuracy	14.666601144771178	(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 s c) s))
accuracy	0.42755042167353674	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
accuracy	6.236659862545264	(.f64 (.f64 x x) c)
accuracy	13.77344513760348	#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)))
accuracy	14.666601144771178	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c)) (.f64 (.f64 s c) s))
accuracy	0.2578125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.26076127930532605	(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.2804694063291675	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
accuracy	4.187160003188803	(.f64 x (.f64 c s))

Samples

105.0ms

256×

valid

Compiler

Compiled 299 to 47 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 26.0ms (31.5% of total)

ival-div: 21.0ms (25.4% of total)

ival-pow2: 17.0ms (20.6% of total)

ival-cos: 9.0ms (10.9% of total)

ival-sin: 6.0ms (7.3% of total)

ival-neg: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory

36.9MiB live, 75.1MiB allocated

Counts

23 → 35

Calls

Call 1

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

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
-1
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ 1 (* c (pow x 2)))
(* c (pow x 2))
(/ -1 (* c x))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* (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)
(* c (* s x))
(* (pow s 2) (pow x 2))
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(- (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -1 c)

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	s	@	0	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* x (* c s)) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (/ (/ 1 (* (* x x) c)) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x x) c)) (* (* x x) c) (/ (* (/ (/ -1 c) x) (/ -1 x)) (* (* s c) s)) (* (/ (/ -1 c) x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (/ -1 c) (* (neg c) (pow (* s x) 2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (neg c) (pow (* s x) 2)) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* 2 x) (* x (* c s)) (pow (* s x) 2) (* (* s c) x))
5.0ms	c	@	inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* x (* c s)) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (/ (/ 1 (* (* x x) c)) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x x) c)) (* (* x x) c) (/ (* (/ (/ -1 c) x) (/ -1 x)) (* (* s c) s)) (* (/ (/ -1 c) x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (/ -1 c) (* (neg c) (pow (* s x) 2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (neg c) (pow (* s x) 2)) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* 2 x) (* x (* c s)) (pow (* s x) 2) (* (* s c) x))
5.0ms	c	@	-inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* x (* c s)) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (/ (/ 1 (* (* x x) c)) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x x) c)) (* (* x x) c) (/ (* (/ (/ -1 c) x) (/ -1 x)) (* (* s c) s)) (* (/ (/ -1 c) x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (/ -1 c) (* (neg c) (pow (* s x) 2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (neg c) (pow (* s x) 2)) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* 2 x) (* x (* c s)) (pow (* s x) 2) (* (* s c) x))
5.0ms	c	@	0	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* x (* c s)) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (/ (/ 1 (* (* x x) c)) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x x) c)) (* (* x x) c) (/ (* (/ (/ -1 c) x) (/ -1 x)) (* (* s c) s)) (* (/ (/ -1 c) x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (/ -1 c) (* (neg c) (pow (* s x) 2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (neg c) (pow (* s x) 2)) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* 2 x) (* x (* c s)) (pow (* s x) 2) (* (* s c) x))
4.0ms	x	@	inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* x (* c s)) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (/ (/ 1 (* (* x x) c)) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* x x) c)) (* (* x x) c) (/ (* (/ (/ -1 c) x) (/ -1 x)) (* (* s c) s)) (* (/ (/ -1 c) x) (/ -1 x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 c) x) (/ (/ -1 c) (* (neg c) (pow (* s x) 2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 c) (* (neg c) (pow (* s x) 2)) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* 2 x) (* x (* c s)) (pow (* s x) 2) (* (* s c) x))

simplify175.0ms (1.9%)

Memory

-0.7MiB live, 276.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	429
1	307	429
2	929	403
3	4333	392
4	7539	392
0	8327	362

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

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
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ 1 (* c (pow x 2)))
(* c (pow x 2))
(/ -1 (* c x))
(* -1 (* c (* (pow s 2) (pow x 2))))
(* (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)
(* c (* s x))
(* (pow s 2) (pow x 2))
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(- (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -1 c)

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) c) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (.f64 (fma.f64 #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 x c) s) (/.f64 (/.f64 x c) s)) (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 x c) s) (/.f64 (/.f64 x c) s)) (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)
(- (* 2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(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 x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) c))
(* c (pow x 2))
(.f64 (.f64 x x) c)
(/ -1 (* c x))
(/.f64 #s(literal -1 binary64) (*.f64 c x))
(* -1 (* c (* (pow s 2) (pow x 2))))
(.f64 (.f64 (neg.f64 c) x) (.f64 (.f64 s x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)
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)
(* c (* s x))
(.f64 (.f64 s x) c)
(* (pow s 2) (pow x 2))
(.f64 (.f64 (*.f64 s x) s) x)
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 c (.f64 (.f64 (.f64 s c) s) x))) x)
(- (pow (sin x) 2) (pow (cos x) 2))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ -1 c)
(/.f64 #s(literal -1 binary64) c)

rewrite190.0ms (2.1%)

Memory

2.6MiB live, 199.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	250
0	83	244
1	287	192
2	1689	176
0	8783	176

Stop Event

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

Counts

23 → 1 667

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 c 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 (.f64 c x) s) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 s x) #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))))
(.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (.f64 c x) s) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 s #s(literal -1 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) s)))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))) (.f64 (*.f64 s s) x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))) x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 s s) x)))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 s x) #s(literal -2 binary64))) (pow.f64 c #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -1 binary64)))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) s) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 s c) c)))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (neg.f64 (pow.f64 (.f64 (*.f64 c x) s) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 (*.f64 c x) s) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 c x) s) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (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 (.f64 (.f64 c x) s) #s(literal 2 binary64))))))))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (neg.f64 c) c)) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 s x) #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (neg.f64 s))) (/.f64 #s(literal -1 binary64) s))
(.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))) (pow.f64 (.f64 s x) #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 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 s c) c)) (pow.f64 (/.f64 s (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 c 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 (.f64 c x) s) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (*.f64 c x) s) #s(literal -2 binary64))))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (.f64 c 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 (.f64 c x) s) #s(literal 2 binary64))))
(.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x))) (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))))
(pow.f64 (/.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (.f64 (*.f64 c x) s) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 8 binary64))) (neg.f64 (pow.f64 (.f64 (*.f64 c x) s) #s(literal -2 binary64)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (pow.f64 (cos.f64 x) #s(literal 12 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))) (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 8 binary64))) (pow.f64 (.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) c)
(/.f64 (.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 s x) #s(literal -2 binary64))) (.f64 (neg.f64 c) c))
(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) (*.f64 s c))) (pow.f64 s #s(literal -1 binary64))) x)
(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c x)) (pow.f64 s #s(literal -1 binary64))) (.f64 (*.f64 c x) s))
(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s c)) (pow.f64 s #s(literal -1 binary64))) (.f64 (*.f64 x x) c))
(/.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (pow.f64 s #s(literal -1 binary64))) (*.f64 c x))
(/.f64 (.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) (.f64 s x)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 s x))
(/.f64 (.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) (.f64 s s)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 x x))
(/.f64 (.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal -1 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 c x) s))
(/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) x)
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 s c) s)) (cos.f64 (.f64 #s(literal 2 binary64) x))) c)
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (neg.f64 x) x) c))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (neg.f64 x) c)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 s c))
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 c (.f64 (.f64 s c) s)) #s(literal -1 binary64)) x) (cos.f64 (*.f64 #s(literal 2 binary64) x))) x)
(/.f64 (.f64 (pow.f64 (.f64 c (.f64 (.f64 s c) s)) #s(literal -1 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 x x))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) (.f64 c x)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 c x))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (cos.f64 (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) c))
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(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 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 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (cos.f64 x) (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(fma.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))))
(-.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(+.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(+.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 x #s(literal 1 binary64) x)
(+.f64 x x)
(.f64 (exp.f64 (log.f64 (.f64 c x))) s)
(.f64 (exp.f64 (log.f64 x)) (.f64 s c))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 c x) s)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c x) s)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (.f64 (*.f64 c x) s)))
(.f64 (.f64 c x) s)
(.f64 (.f64 s x) c)
(.f64 (.f64 s c) (exp.f64 (log.f64 x)))
(.f64 (.f64 s c) x)
(.f64 s (exp.f64 (log.f64 (.f64 c x))))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 x (.f64 s c))
(pow.f64 (sqrt.f64 (.f64 (.f64 c x) s)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 c x) s) #s(literal 1 binary64))
(exp.f64 (log.f64 (.f64 (.f64 c x) s)))
(.f64 (pow.f64 (.f64 (*.f64 s x) x) #s(literal 1 binary64)) s)
(.f64 (.f64 (*.f64 s x) x) s)
(.f64 (.f64 s x) (*.f64 s x))
(.f64 (.f64 (*.f64 s s) x) x)
(.f64 (.f64 s s) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 s s))
(.f64 s (pow.f64 (.f64 x (*.f64 s x)) #s(literal 1 binary64)))
(.f64 s (pow.f64 (.f64 s (*.f64 x x)) #s(literal 1 binary64)))
(.f64 s (.f64 x (*.f64 s x)))
(.f64 s (.f64 s (*.f64 x x)))
(.f64 x (.f64 (*.f64 s s) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 s x)))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (.f64 s x)) (log.f64 (.f64 s x))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 s x)) #s(literal 2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 c x))) s)
(.f64 (exp.f64 (log.f64 x)) (.f64 s c))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 c x) s)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c x) s)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 c x) s)) (sqrt.f64 (.f64 (*.f64 c x) s)))
(.f64 (.f64 c x) s)
(.f64 (.f64 s x) c)
(.f64 (.f64 s c) (exp.f64 (log.f64 x)))
(.f64 (.f64 s c) x)
(.f64 s (exp.f64 (log.f64 (.f64 c x))))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 x (.f64 s c))
(pow.f64 (sqrt.f64 (.f64 (.f64 c x) s)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 c x) s) #s(literal 1 binary64))
(exp.f64 (log.f64 (.f64 (.f64 c x) s)))

eval120.0ms (1.3%)

Memory: -26.4MiB live, 208.0MiB allocated
Compiler: Compiled 28 245 to 3 143 computations (88.9% saved)

prune53.0ms (0.6%)

Memory

-6.3MiB live, 121.9MiB allocated

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	1 005	37	1 042
Fresh	28	12	40
Picked	4	1	5
Done	0	0	0
Total	1 037	50	1 087

Accuracy

100.0%

Counts

1 087 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
	95.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
▶	96.3%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
	89.9%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
	77.7%	(/.f64 (-.f64 (neg.f64 #s(approx (pow (cos x) 2) #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	82.6%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 c x))
	82.4%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s)))
	89.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
	75.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s x)))
	91.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s x) (sqrt.f64 c)) (.f64 (.f64 s x) (sqrt.f64 c))) (sqrt.f64 c)) (sqrt.f64 c)))
	91.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (.f64 c x)))
	85.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) s) (.f64 s x)))
	96.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
▶	79.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	73.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) (.f64 (.f64 (.f64 x x) c) s)))
	91.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 s c) x)) (.f64 s x)))
	62.5%	(/.f64 #s(approx (- (pow (sin x) 2) (pow (cos x) 2)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 x (*.f64 c s)) #s(literal 2 binary64))))
	49.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
	56.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
	54.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
▶	71.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
	37.4%	#s(approx (/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* x (* c s)) 2))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 x c) s)) (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)))
▶	77.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64)))
	75.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
	66.0%	#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)))
	64.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 s #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) s) x)))
	72.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (neg.f64 c)) (neg.f64 c)))
	62.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 s c) c)) s))
	65.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) x) (neg.f64 c)))
	71.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (neg.f64 x) c)) (.f64 s c)))
	66.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (*.f64 (neg.f64 x) c)))
	73.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s c)) (.f64 c x)) (*.f64 s (neg.f64 x))))
▶	73.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 s c) (*.f64 (neg.f64 x) c))))
	61.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 c) x) (.f64 (sqrt.f64 c) x))) (.f64 (*.f64 s c) s)))
✓	59.1%	#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)))
	61.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c x) x)) (.f64 (.f64 s c) s)))
	66.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 s c) s) (neg.f64 x))) (.f64 c x)))
	59.3%	#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 x) x) c)))
	69.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (neg.f64 x))))
	66.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s))))
	75.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (.f64 (neg.f64 s) c) x) (.f64 s x))))
	73.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (.f64 (.f64 c x) s) (.f64 s (neg.f64 x)))))
	70.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (.f64 (.f64 (.f64 s x) x) s))))
	60.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (.f64 s (.f64 s (.f64 x x))))))
	70.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) #s(approx (pow ( s x) 2) (.f64 (.f64 (*.f64 s x) s) x)))))
	71.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (/.f64 (/.f64 #s(literal -1 binary64) c) x)) (.f64 s c)))
	60.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s))) (.f64 x x)))
	75.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
	74.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) s) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) s)))
	65.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 (.f64 s c) s)))))

Compiler

Compiled 2 582 to 1 764 computations (31.7% saved)

simplify180.0ms (1.9%)

Memory

1.1MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
cost-diff	4	(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
cost-diff	0	(*.f64 s c)
cost-diff	0	(.f64 (.f64 s c) x)
cost-diff	0	(pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) s)
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 s c) (*.f64 (neg.f64 x) c))))
cost-diff	5	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 s c) (*.f64 (neg.f64 x) c)))
cost-diff	0	(.f64 (.f64 (.f64 s c) x) (.f64 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)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
cost-diff	4	(.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s)
cost-diff	0	(sin.f64 x)
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	1	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	298
0	81	290
1	155	274
2	404	266
3	1912	263
4	4865	263
0	8548	263

Stop Event

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

Calls

Call 1

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

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

localize201.0ms (2.2%)

Memory

21.3MiB live, 143.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2804694063291675	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
accuracy	5.128076704898951	(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
accuracy	5.764237140986505	(.f64 (.f64 (*.f64 s s) x) c)
accuracy	6.242529115418382	(.f64 (.f64 s s) x)
accuracy	0.0	(*.f64 s c)
accuracy	0.20054628907376806	(pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64))
accuracy	4.187160003188803	(.f64 (.f64 s c) x)
accuracy	13.77344513760348	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64)))
accuracy	0.2265625	(/.f64 (/.f64 #s(literal -1 binary64) x) s)
accuracy	3.710518694384423	(.f64 (.f64 s c) (*.f64 (neg.f64 x) c))
accuracy	3.8635099499591212	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 s c) (*.f64 (neg.f64 x) c)))
accuracy	13.77344513760348	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 s c) (*.f64 (neg.f64 x) c))))
accuracy	0.2804694063291675	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
accuracy	4.187160003188803	(.f64 (.f64 s c) x)
accuracy	4.61913949670347	(.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s)
accuracy	28.822935011317803	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.2578125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.26076127930532605	(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.2804694063291675	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
accuracy	6.692293079810577	(.f64 (.f64 s x) c)

Samples

117.0ms

256×

valid

Compiler

Compiled 273 to 46 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-cos: 29.0ms (33.6% of total)

ival-mult: 24.0ms (27.8% of total)

ival-pow2: 11.0ms (12.7% of total)

ival-div: 10.0ms (11.6% of total)

ival-sin: 6.0ms (6.9% of total)

ival-pow: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory

-7.1MiB live, 65.5MiB allocated

Counts

24 → 36

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
(.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s)
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
(.f64 (.f64 (.f64 s c) x) (.f64 c x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 s c) (*.f64 (neg.f64 x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 s c) (*.f64 (neg.f64 x) c))))
(/.f64 (/.f64 #s(literal -1 binary64) x) s)
(/.f64 #s(literal -1 binary64) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64)))
(pow.f64 (.f64 (.f64 s c) x) #s(literal -2 binary64))
(.f64 (.f64 s c) x)
(*.f64 s c)
(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 s x) c)
(.f64 (.f64 s c) (*.f64 (neg.f64 x) c))
(.f64 (.f64 s s) x)
(.f64 (.f64 (*.f64 s s) x) 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))
-1
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (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)))
(* (pow c 2) (* s (pow x 2)))
(/ -1 (* s x))
(/ -1 x)
(* c (* s x))
(* 2 x)
(* -1 (* (pow c 2) (* s x)))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(- (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(* c s)

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	s	@	inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* (* s x) c) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* (* (* s c) x) (* c x)) (/ (/ (/ -1 x) s) (* (* s c) (* (neg x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) s) (/ -1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* s c) x) -2) (* (* s c) x) (* s c) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* s c) (* (neg x) c)) (* (* s s) x) (* (* (* s s) x) c))
10.0ms	x	@	-inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* (* s x) c) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* (* (* s c) x) (* c x)) (/ (/ (/ -1 x) s) (* (* s c) (* (neg x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) s) (/ -1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* s c) x) -2) (* (* s c) x) (* s c) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* s c) (* (neg x) c)) (* (* s s) x) (* (* (* s s) x) c))
5.0ms	c	@	-inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* (* s x) c) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* (* (* s c) x) (* c x)) (/ (/ (/ -1 x) s) (* (* s c) (* (neg x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) s) (/ -1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* s c) x) -2) (* (* s c) x) (* s c) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* s c) (* (neg x) c)) (* (* s s) x) (* (* (* s s) x) c))
5.0ms	s	@	-inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* (* s x) c) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* (* (* s c) x) (* c x)) (/ (/ (/ -1 x) s) (* (* s c) (* (neg x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) s) (/ -1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* s c) x) -2) (* (* s c) x) (* s c) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* s c) (* (neg x) c)) (* (* s s) x) (* (* (* s s) x) c))
5.0ms	c	@	inf	((/ (- (pow (sin x) 2) (pow (cos x) 2)) (neg (pow (* (* s x) c) 2))) (- (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (sin x) (* (* (* (* s c) x) (* c x)) s) (/ (cos (* 2 x)) (* (* (* (* s c) x) (* c x)) s)) (cos (* 2 x)) (* (* (* s c) x) (* c x)) (/ (/ (/ -1 x) s) (* (* s c) (* (neg x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ -1 x) s) (/ -1 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow (* (* s c) x) -2) (* (* s c) x) (* s c) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* s c) (* (neg x) c)) (* (* s s) x) (* (* (* s s) x) c))

simplify195.0ms (2.1%)

Memory

16.1MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	432
1	313	432
2	950	406
3	4253	395
4	7429	395
0	8209	365

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

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
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (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)))
(* (pow c 2) (* s (pow x 2)))
(/ -1 (* s x))
(/ -1 x)
(* c (* s x))
(* 2 x)
(* -1 (* (pow c 2) (* s x)))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(- (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(* c s)

Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 c x) c) 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 x c) s) (/.f64 (/.f64 x c) s)) (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 x c) s) (/.f64 (/.f64 x c) s)) (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)
(- (* 2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)
(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 x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 c s) s))
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) (* s (pow x 2)))
(.f64 (.f64 (.f64 x x) c) (.f64 c s))
(/ -1 (* s x))
(/.f64 #s(literal -1 binary64) (*.f64 s x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* c (* s x))
(.f64 (.f64 s x) c)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* (pow c 2) (* s x)))
(.f64 (.f64 (neg.f64 s) c) (*.f64 c x))
(* (pow s 2) x)
(.f64 (.f64 s x) s)
(* c (* (pow s 2) x))
(.f64 (.f64 (*.f64 s x) s) c)
(* -1 (/ (- (pow (sin x) 2) (pow (cos x) 2)) (* (pow c 2) (* (pow s 2) (pow x 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) s)) c)
(- (pow (sin x) 2) (pow (cos x) 2))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) s)) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* c s)
(*.f64 c s)

rewrite206.0ms (2.2%)

Memory

-22.0MiB live, 210.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	228
0	81	244
1	257	224
2	1408	178
0	8685	178

Stop Event

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

Counts

24 → 1 638

Calls

Call 1

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

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

eval229.0ms (2.5%)

Memory: 34.6MiB live, 267.7MiB allocated
Compiler: Compiled 29 722 to 3 208 computations (89.2% saved)

prune220.0ms (2.4%)

Memory

-47.2MiB live, 164.5MiB allocated

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	1 066	32	1 098
Fresh	25	19	44
Picked	5	0	5
Done	1	0	1
Total	1 097	51	1 148

Accuracy

100.0%

Counts

1 148 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.2%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s s) x) c)) (.f64 c x))
	95.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c x) s)) (.f64 (*.f64 c x) s))
	77.5%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c s) x)) (.f64 (.f64 c s) x))
	79.5%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	77.7%	(/.f64 (-.f64 (neg.f64 #s(approx (pow (cos x) 2) #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
	82.4%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (neg.f64 x) c) (.f64 (.f64 s c) s)))
	88.4%	(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x))) (.f64 s (.f64 (.f64 (neg.f64 s) x) c)))
	89.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
	75.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 s x)))
	79.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	91.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (.f64 c x)))
	85.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) s) (.f64 s x)))
	84.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s x) s) c)))
	73.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s c) (.f64 (.f64 (.f64 x x) c) s)))
	63.2%	(/.f64 #s(approx (- (pow (sin x) 2) (pow (cos x) 2)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
	49.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s c) x) (*.f64 c x)) s))
	56.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s))
	69.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
	71.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 s) (sqrt.f64 c)) (.f64 (sqrt.f64 s) (sqrt.f64 c))) x) (*.f64 c x)) s))
	71.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) c) x) s))
	75.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c s) x) c) s) x))
	68.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c s) c) (neg.f64 x)) (neg.f64 x)) s))
	64.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 c x)))
	71.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) (*.f64 s x)) c) s))
	72.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 c x)) s))
	74.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 c s)))
	76.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c s) x) c) (*.f64 s x)))
	77.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c)))
	77.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	61.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 c s)) (.f64 (*.f64 c x) x)))
	64.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 s (.f64 (*.f64 c x) x))) s))
	61.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* (* s c) x) (* c x)) (.f64 (.f64 (.f64 x x) c) (.f64 c s))) s))
	77.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 c s) x) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c s) x))))
	77.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (/.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) s)) x) #s(literal -2 binary64)))
	77.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
	75.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))
	76.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (.f64 (.f64 c s) x))))
	65.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) x) (neg.f64 c)))
	66.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 s c) s)) x) (*.f64 (neg.f64 x) c)))
	70.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 (*.f64 (neg.f64 x) c) c) s)))
	76.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 (*.f64 c s) x) (neg.f64 c))))
	61.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 c) x) (.f64 (sqrt.f64 c) x))) (.f64 (*.f64 s c) s)))
	59.3%	#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 x) x) c)))
	60.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) (.f64 s (.f64 s (.f64 x x))))))
	70.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (.f64 (neg.f64 c) #s(approx (pow ( s x) 2) (.f64 (.f64 (*.f64 s x) s) x)))))
	73.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) c) (/.f64 #s(literal -1 binary64) x)) (.f64 c s)))
	64.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) c) #s(literal -1 binary64)) (.f64 (.f64 (.f64 s s) x) c)))
	75.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
	76.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (neg.f64 s) x) c) (*.f64 c s)) x)))
	77.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) c) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) c)))
	74.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) s) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) s)))

Compiler

Compiled 4 481 to 1 346 computations (70% saved)

regimes237.0ms (2.6%)

Memory

23.4MiB live, 177.4MiB allocated

Counts

136 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

57.0ms	s
45.0ms	(pow.f64 c #s(literal 2 binary64))
37.0ms	x
35.0ms	c
30.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.2%	2	`x`
98.6%	2	`c`
99.0%	2	`s`
98.8%	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)))`
96.5%	1	`(pow.f64 c #s(literal 2 binary64))`
98.8%	2	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes74.0ms (0.8%)

Memory

-13.7MiB live, 69.0MiB allocated

Counts

101 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

39.0ms	s
31.0ms	x

Results

Accuracy	Segments	Branch
98.7%	2	`s`
98.9%	2	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes190.0ms (2.1%)

Memory

24.5MiB live, 183.7MiB allocated

Counts

84 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

53.0ms	s
37.0ms	c
35.0ms	x
25.0ms	(/.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)))
19.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.8%	2	`(pow.f64 c #s(literal 2 binary64))`
91.8%	2	`c`
95.0%	3	`s`
89.7%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
94.1%	3	`(pow.f64 s #s(literal 2 binary64))`
96.4%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes79.0ms (0.9%)

Memory

-20.2MiB live, 94.9MiB allocated

Counts

83 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

31.0ms	s
24.0ms	x
21.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.5%	2	`(pow.f64 s #s(literal 2 binary64))`
92.5%	2	`s`
92.4%	2	`x`

Compiler

Compiled 5 to 11 computations (-120% saved)

regimes216.0ms (2.3%)

Memory

8.2MiB live, 171.7MiB allocated

Counts

81 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

68.0ms	(/.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)))
42.0ms	x
33.0ms	s
32.0ms	(pow.f64 c #s(literal 2 binary64))
19.0ms	c

Results

Accuracy	Segments	Branch
82.3%	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)))`
77.8%	1	`c`
77.8%	1	`(pow.f64 c #s(literal 2 binary64))`
80.7%	2	`x`
77.8%	1	`(pow.f64 s #s(literal 2 binary64))`
77.8%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes13.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

(/.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
82.3%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes142.0ms (1.5%)

Memory

-6.7MiB live, 77.8MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

6 calls:

58.0ms	c
53.0ms	(/.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)))
8.0ms	x
8.0ms	s
7.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
77.8%	1	`s`
77.8%	1	`(pow.f64 s #s(literal 2 binary64))`
77.8%	1	`c`
77.8%	1	`(pow.f64 c #s(literal 2 binary64))`
77.8%	1	`x`
77.8%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes73.0ms (0.8%)

Memory

-7.1MiB live, 31.8MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

53.0ms	(/.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)))
4.0ms	s
4.0ms	c
4.0ms	x
4.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
77.6%	1	`s`
77.6%	1	`(pow.f64 s #s(literal 2 binary64))`
77.6%	1	`x`
77.6%	1	`c`
77.6%	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)))`
77.6%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes19.0ms (0.2%)

Memory

-10.1MiB live, 29.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
64.9%	1	`x`
64.9%	1	`c`
64.9%	1	`s`
64.9%	1	`(pow.f64 c #s(literal 2 binary64))`
64.9%	1	`(pow.f64 s #s(literal 2 binary64))`
64.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
61.5%	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)))`
61.5%	1	`(pow.f64 s #s(literal 2 binary64))`
61.5%	1	`s`
61.5%	1	`x`
61.5%	1	`c`
61.5%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch35.0ms (0.4%)

Memory

-21.2MiB live, 20.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	5.926363899720636e-102	4.6993157656878064e-99

Samples

28.0ms

128×

valid

Compiler

Compiled 307 to 218 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 21.0ms (85.2% of total)

ival-pow2: 2.0ms (8.1% of total)

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

ival-cos: 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)

bsearch3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	5.926363899720636e-102	4.6993157656878064e-99

Samples

1.0ms

16×

valid

Compiler

Compiled 259 to 178 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

ival-pow2: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory

-4.3MiB live, 34.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.132120727126965e-22	4.397909748833942e-21

Samples

22.0ms

96×

valid

Compiler

Compiled 235 to 174 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-pow2: 16.0ms (81.7% of total)

ival-mult: 2.0ms (10.2% of total)

ival-div: 1.0ms (5.1% of total)

ival-cos: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.283350597214783e+139	6.598633462690439e+140

Samples

9.0ms

96×

valid

Compiler

Compiled 235 to 174 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 2.0ms (30.3% of total)

ival-mult: 2.0ms (30.3% of total)

ival-pow2: 2.0ms (30.3% of total)

ival-div: 1.0ms (15.1% 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

3.0MiB live, 3.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-33989692430.22779	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch13.0ms (0.1%)

Memory

-35.1MiB live, 3.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-33989692430.22779	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify76.0ms (0.8%)

Memory

23.4MiB live, 62.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	392
1	123	392
2	196	380
3	379	380
4	586	380
5	758	380
6	862	380
7	1266	380
8	5803	380

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 8471431332224813/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (.f64 (neg.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 1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (.f64 (neg.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 c x) s) (.f64 (*.f64 c x) s)))))
(if (<=.f64 x #s(literal 1894149893993505/664613997892457936451903530140172288 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (.f64 (neg.f64 s) x) c))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s)))
(if (<=.f64 s #s(literal 339999999999999982079668619558736512971310719120342224024380514499600333821040926411105632915728104004217572279197094802727157714604141838336 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c))))
(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 -20000000000 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) c) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) c))))
(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 -20000000000 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 s (.f64 (*.f64 c x) x))) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* (* s c) x) (* c x)) (.f64 (.f64 (.f64 x x) c) (.f64 c s))) s))

Outputs
(if (<=.f64 x #s(literal 8471431332224813/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (.f64 (neg.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 8471431332224813/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) c) (.f64 (.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 1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (.f64 (neg.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 c x) s) (.f64 (*.f64 c x) s)))))
(if (<=.f64 x #s(literal 1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) c) (.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 c x) s) (.f64 (*.f64 c x) s)))))
(if (<=.f64 x #s(literal 1894149893993505/664613997892457936451903530140172288 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (.f64 (neg.f64 s) x) c))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s)))
(if (<=.f64 x #s(literal 1894149893993505/664613997892457936451903530140172288 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s c) x) (.f64 c x)) s)))
(if (<=.f64 s #s(literal 339999999999999982079668619558736512971310719120342224024380514499600333821040926411105632915728104004217572279197094802727157714604141838336 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c))))
(if (<=.f64 s #s(literal 339999999999999982079668619558736512971310719120342224024380514499600333821040926411105632915728104004217572279197094802727157714604141838336 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c))) (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
(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 -20000000000 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) c) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) c))))
(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 -20000000000 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c))))
(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 -20000000000 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 s (.f64 (*.f64 c x) x))) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* (* s c) x) (* c x)) (.f64 (.f64 (.f64 x x) c) (.f64 c s))) s))

soundness1.6s (16.8%)

Memory

14.3MiB live, 1 206.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	250
0	83	244
1	287	192
2	1689	176
0	8783	176
0	12	46
0	20	46
1	55	46
2	219	42
3	2026	36
0	8241	36
0	120	432
1	313	432
2	950	406
3	4253	395
4	7429	395
0	8209	365
0	130	517
1	330	516
2	1098	488
3	5239	477
0	8119	444
0	50	222
1	117	222
2	389	208
3	1965	198
4	4758	190
5	6924	190
0	8021	178
0	118	429
1	307	429
2	929	403
3	4333	392
4	7539	392
0	8327	362
0	49	228
0	81	244
1	257	224
2	1408	178
0	8685	178
0	48	226
0	82	238
1	265	172
2	1471	167
0	8586	167

Stop Event

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

Compiler

Compiled 1 510 to 768 computations (49.1% saved)

preprocess89.0ms (1%)

Memory: -16.1MiB live, 141.9MiB allocated
Compiler: Compiled 1 400 to 568 computations (59.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze222.0ms (2.4%)

sample1.8s (19.1%)

explain319.0ms (3.5%)

preprocess48.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.1%)

localize66.0ms (0.7%)

series25.0ms (0.3%)

simplify199.0ms (2.2%)

rewrite232.0ms (2.5%)

eval83.0ms (0.9%)

prune26.0ms (0.3%)

simplify112.0ms (1.2%)

localize277.0ms (3%)

series102.0ms (1.1%)

simplify136.0ms (1.5%)

rewrite183.0ms (2%)

eval202.0ms (2.2%)

prune156.0ms (1.7%)

simplify179.0ms (1.9%)

localize151.0ms (1.6%)

series43.0ms (0.5%)

simplify175.0ms (1.9%)

rewrite190.0ms (2.1%)

eval120.0ms (1.3%)

prune53.0ms (0.6%)

simplify180.0ms (1.9%)

localize201.0ms (2.2%)

series62.0ms (0.7%)

simplify195.0ms (2.1%)

rewrite206.0ms (2.2%)

eval229.0ms (2.5%)

prune220.0ms (2.4%)

regimes237.0ms (2.6%)

regimes74.0ms (0.8%)

regimes190.0ms (2.1%)

regimes79.0ms (0.9%)

regimes216.0ms (2.3%)

regimes13.0ms (0.1%)

regimes142.0ms (1.5%)

regimes73.0ms (0.8%)

regimes19.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch35.0ms (0.4%)

bsearch3.0ms (0%)

bsearch28.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

simplify76.0ms (0.8%)

soundness1.6s (16.8%)

preprocess89.0ms (1%)

end0.0ms (0%)

Profiling