Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze163.0ms (1.8%)

Memory

-3.8MiB live, 199.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.7s (18.1%)

Memory

4.5MiB live, 1 575.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 882.0ms

ival-mult: 318.0ms (36.1% of total)

ival-cos: 281.0ms (31.9% of total)

ival-pow2: 181.0ms (20.5% of total)

ival-div: 86.0ms (9.8% of total)

ival-true: 7.0ms (0.8% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain151.0ms (1.6%)

Memory

-34.2MiB live, 249.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
60	0	-	3	(-1.721814641663289e+27 9352046274036679000.0 -3.441894223239499e-189)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
37	2	(1.1278138615798686e+210 4.376425330123356e+83 -4.14436258162798e-267)	2	(-2.3854802839713822e+117 -5.3354945932263834e+141 1.7118863660945716e-158)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
19	1	(-1.721814641663289e+27 9352046274036679000.0 -3.441894223239499e-189)	3	(-2.962036834470772e+81 4.614616753970207e-82 1.0513606655721798e-202)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	114	(-3.5205906373955136e+155 -5.856326406537851e-285 4.5698532151430464e-204)	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	114	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	22	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	53
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	75
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	60
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	63
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	19	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	18	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	15	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	10	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	59
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	65
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	60
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	10	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	9	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	8	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	65
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	53
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	67
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	60
`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 -
+	86	1
-	91	78

Precision

0.4858757062146893

Recall

0.9885057471264368

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	1
-	91	0	78

Precision?

0.4858757062146893

Recall?

0.9885057471264368

Freqs

test

number	freq
0	79
1	128
2	48
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 188 to 52 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 12.0ms (31% of total)

ival-pow2: 12.0ms (31% of total)

ival-cos: 10.0ms (25.8% of total)

ival-div: 3.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (0.5%)

Memory

28.5MiB live, 65.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.2%	(/.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)

simplify41.0ms (0.4%)

Memory

-13.9MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (0.7%)

Memory

11.8MiB live, 88.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2483738647679868	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	3.8341827658372205	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	9.74484063786854	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	11.802472391942384	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

57.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 8.0ms (38.8% of total)

ival-mult: 6.0ms (29.1% of total)

ival-pow2: 5.0ms (24.2% of total)

ival-div: 2.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-4.2MiB live, 32.9MiB allocated

Counts

7 → 11

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	x	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	s	@	inf	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms	c	@	0	((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify505.0ms (5.5%)

Memory

5.6MiB live, 212.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	76
1	57	76
2	139	76
3	380	76
4	707	76
5	843	76
6	952	76
7	1174	76
8	1609	76
9	2829	76
10	4799	76
11	5552	76
12	5686	76
13	5754	76
14	5818	76
15	5842	76
16	6532	76
17	6631	76
18	6641	76
19	6641	76
20	6641	76
21	7619	76
0	8079	70

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

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

rewrite241.0ms (2.6%)

Memory

-0.2MiB live, 313.8MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	18	36
1	44	36
2	127	34
3	682	30
4	7125	30
0	8660	30

Stop Event

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

Counts

7 → 478

Calls

Call 1

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

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

eval174.0ms (1.9%)

Memory: 5.8MiB live, 118.3MiB allocated
Compiler: Compiled 14 780 to 1 668 computations (88.7% saved)

prune96.0ms (1%)

Memory

-16.8MiB live, 108.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	474	15	489
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	15	490

Accuracy

99.9%

Counts

490 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
	85.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c) c))
	82.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 x c) #s(literal 2 binary64)) s) s))
▶	85.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	92.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
▶	93.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 s s)) c) (.f64 x c)))
	73.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 s c) c)) s))
▶	83.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x s) x) (.f64 (.f64 s c) c)))
	78.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) x) (.f64 (.f64 s c) s)))
	95.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))
▶	97.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
	74.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (sqrt.f64 c)) (.f64 (pow.f64 c #s(literal 3/2 binary64)) (.f64 x (.f64 s s)))))
▶	82.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
	62.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 510 to 376 computations (26.3% saved)

simplify26.0ms (0.3%)

Memory

-11.2MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	296
0	58	282
1	121	274
2	289	274
3	505	274
4	605	274
0	605	274

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize114.0ms (1.2%)

Memory

20.8MiB live, 178.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2483738647679868	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.25228500976844204	(pow.f64 (*.f64 s c) #s(literal 2 binary64))
accuracy	3.2994522717012114	(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
accuracy	5.388024231219487	(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
accuracy	0.2483738647679868	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	1.2504196695378171	(.f64 (.f64 (*.f64 x c) s) c)
accuracy	2.886065873278451	(.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s))
accuracy	6.533045601685071	(.f64 (.f64 x c) s)
accuracy	0.12109375	(.f64 (.f64 x s) x)
accuracy	0.1484375	(.f64 (.f64 s c) c)
accuracy	0.2483738647679868	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	10.616026469781039	(.f64 (.f64 (.f64 x s) x) (.f64 (*.f64 s c) c))
accuracy	0.10546875	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
accuracy	0.2483738647679868	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	4.761752507762957	(.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))
accuracy	8.522825127186369	(.f64 (.f64 (*.f64 x c) x) s)
accuracy	0.10546875	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c))))
accuracy	0.205410009768442	(.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))
accuracy	0.2483738647679868	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	5.4226397016521375	(.f64 x (.f64 s c))

Samples

70.0ms

256×

valid

Compiler

Compiled 570 to 70 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 29.0ms (58.5% of total)

ival-div: 7.0ms (14.1% of total)

ival-pow2: 7.0ms (14.1% of total)

ival-cos: 6.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.5%)

Memory

3.3MiB live, 86.8MiB allocated

Counts

20 → 21

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((cos (* 2 x)) (* 2 x) (* x (* s c)) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* x s) x) (* x s) (* (* (* x c) s) c) (* (* x c) s) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (* (* x (* s c)) (* x (* s c))) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* x c) x) s) (* (* (* (* x c) x) s) (* s c)) (* (* (* x s) x) (* (* s c) c)) (* (* s c) c) (* (* (* (* x c) s) c) (* x s)) (pow (* s c) 2))
7.0ms	c	@	inf	((cos (* 2 x)) (* 2 x) (* x (* s c)) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* x s) x) (* x s) (* (* (* x c) s) c) (* (* x c) s) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (* (* x (* s c)) (* x (* s c))) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* x c) x) s) (* (* (* (* x c) x) s) (* s c)) (* (* (* x s) x) (* (* s c) c)) (* (* s c) c) (* (* (* (* x c) s) c) (* x s)) (pow (* s c) 2))
5.0ms	s	@	0	((cos (* 2 x)) (* 2 x) (* x (* s c)) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* x s) x) (* x s) (* (* (* x c) s) c) (* (* x c) s) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (* (* x (* s c)) (* x (* s c))) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* x c) x) s) (* (* (* (* x c) x) s) (* s c)) (* (* (* x s) x) (* (* s c) c)) (* (* s c) c) (* (* (* (* x c) s) c) (* x s)) (pow (* s c) 2))
5.0ms	s	@	-inf	((cos (* 2 x)) (* 2 x) (* x (* s c)) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* x s) x) (* x s) (* (* (* x c) s) c) (* (* x c) s) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (* (* x (* s c)) (* x (* s c))) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* x c) x) s) (* (* (* (* x c) x) s) (* s c)) (* (* (* x s) x) (* (* s c) c)) (* (* s c) c) (* (* (* (* x c) s) c) (* x s)) (pow (* s c) 2))
4.0ms	x	@	0	((cos (* 2 x)) (* 2 x) (* x (* s c)) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* x s) x) (* x s) (* (* (* x c) s) c) (* (* x c) s) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (* (* x (* s c)) (* x (* s c))) (/ (cos (* 2 x)) (* (* x (* s c)) (* x (* s c)))) (* (* (* x c) x) s) (* (* (* (* x c) x) s) (* s c)) (* (* (* x s) x) (* (* s c) c)) (* (* s c) c) (* (* (* (* x c) s) c) (* x s)) (pow (* s c) 2))

simplify154.0ms (1.7%)

Memory

-8.8MiB live, 277.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	261
1	137	261
2	425	247
3	1827	237
4	4544	229
5	6691	229
0	8034	217

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

rewrite189.0ms (2.1%)

Memory

20.5MiB live, 213.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	179
0	52	177
1	146	141
2	492	141
3	4254	141
0	8588	141

Stop Event

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

Counts

20 → 1 127

Calls

Call 1

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

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

eval165.0ms (1.8%)

Memory: -26.1MiB live, 247.0MiB allocated
Compiler: Compiled 28 991 to 2 690 computations (90.7% saved)

prune40.0ms (0.4%)

Memory

32.6MiB live, 110.2MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1 130	22	1 152
Fresh	8	2	10
Picked	5	0	5
Done	0	0	0
Total	1 143	24	1 167

Accuracy

100.0%

Counts

1 167 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (neg.f64 c)) (.f64 (neg.f64 c) (.f64 s x)))
	69.2%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 (.f64 s s) x)) (.f64 c c))
	74.4%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 s s)) (.f64 (.f64 c x) c))
	82.5%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c x) x) s)) (*.f64 c s))
▶	94.3%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c s) x) c)) (*.f64 s x))
	93.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s)))
	97.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	82.5%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
	92.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
	77.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) s) s) x) x))
	87.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) s) (.f64 x s)))
	94.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) (.f64 c s)) x))
	95.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))
	87.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) (.f64 c c)) (.f64 x s)))
▶	85.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) x) c) (*.f64 s c))))
	62.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
	52.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
	78.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s)))
	77.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x s) x) (.f64 (*.f64 s c) c)))
	81.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
▶	69.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
▶	61.6%	#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 c s) s)))
	46.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))

Compiler

Compiled 990 to 690 computations (30.3% saved)

simplify151.0ms (1.6%)

Memory

-26.0MiB live, 145.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (*.f64 c s) x) c)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c s) x) c)) (*.f64 s x))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) x) c) (*.f64 s c)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 s x) x) c) (*.f64 s c))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c)
cost-diff	0	#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 c s) s)))
cost-diff	384	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 c s) s))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c)))
cost-diff	0	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x))
cost-diff	0	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (neg.f64 c))
cost-diff	256	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (neg.f64 c)) (.f64 (neg.f64 c) (.f64 s x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	369
0	78	371
1	159	371
2	374	367
3	1187	367
4	2984	367
5	5857	367
6	7379	367
7	7779	367
0	8042	367

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.8%)

Memory

-8.5MiB live, 185.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5280001312241078	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c s) x) c))
accuracy	1.2504196695378171	(.f64 (.f64 (*.f64 c s) x) c)
accuracy	2.6259398425910483	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 c s) x) c)) (*.f64 s x))
accuracy	5.4226397016521375	(.f64 (.f64 c s) x)
accuracy	0.12109375	(.f64 (.f64 s x) x)
accuracy	0.2483738647679868	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	4.761752507762957	(.f64 (.f64 (.f64 (.f64 s x) x) c) (*.f64 s c))
accuracy	6.479300985580326	(.f64 (.f64 (*.f64 s x) x) c)
accuracy	0.6474671755040623	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	5.0535891317907415	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c)
accuracy	10.822369432112207	#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 c s) s)))
accuracy	13.323741070582503	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) c) (.f64 (*.f64 c s) s))
accuracy	0.10546875	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
accuracy	4.761752507762957	(.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))
accuracy	8.522825127186369	(.f64 (.f64 (*.f64 x c) x) s)
accuracy	26.03625899360949	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.2483738647679868	(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.7718544042718389	(/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x))
accuracy	2.365489941499235	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (neg.f64 c))
accuracy	2.508810328699308	(.f64 (neg.f64 c) (.f64 s x))

Samples

131.0ms

256×

valid

Compiler

Compiled 674 to 89 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pow2: 44.0ms (40.5% of total)

ival-mult: 36.0ms (33.1% of total)

ival-cos: 14.0ms (12.9% of total)

ival-div: 13.0ms (12% of total)

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

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

exact: 0.0ms (0% of total)

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

series71.0ms (0.8%)

Memory

9.4MiB live, 91.7MiB allocated

Counts

26 → 34

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	s	@	0	((/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s x))) (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/ (cos (* x 2)) (* s x)) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* x c) x) s) (* s c)) (/ (/ (/ 1 (* x x)) c) (* (* c s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* x x)) c) (/ 1 (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ (cos (* x 2)) (* (* (* c s) x) c)) (* s x)) (* x 2) (* (* (* c s) x) c) (* (neg c) (* s x)) (* (* (* x c) x) s) (* (* (* s x) x) c) (* (* (* (* s x) x) c) (* s c)) (* (* s x) x) (* (* c s) x) (/ (cos (* x 2)) (* (* (* c s) x) c)))
8.0ms	c	@	0	((/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s x))) (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/ (cos (* x 2)) (* s x)) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* x c) x) s) (* s c)) (/ (/ (/ 1 (* x x)) c) (* (* c s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* x x)) c) (/ 1 (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ (cos (* x 2)) (* (* (* c s) x) c)) (* s x)) (* x 2) (* (* (* c s) x) c) (* (neg c) (* s x)) (* (* (* x c) x) s) (* (* (* s x) x) c) (* (* (* (* s x) x) c) (* s c)) (* (* s x) x) (* (* c s) x) (/ (cos (* x 2)) (* (* (* c s) x) c)))
5.0ms	x	@	inf	((/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s x))) (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/ (cos (* x 2)) (* s x)) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* x c) x) s) (* s c)) (/ (/ (/ 1 (* x x)) c) (* (* c s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* x x)) c) (/ 1 (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ (cos (* x 2)) (* (* (* c s) x) c)) (* s x)) (* x 2) (* (* (* c s) x) c) (* (neg c) (* s x)) (* (* (* x c) x) s) (* (* (* s x) x) c) (* (* (* (* s x) x) c) (* s c)) (* (* s x) x) (* (* c s) x) (/ (cos (* x 2)) (* (* (* c s) x) c)))
5.0ms	x	@	-inf	((/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s x))) (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/ (cos (* x 2)) (* s x)) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* x c) x) s) (* s c)) (/ (/ (/ 1 (* x x)) c) (* (* c s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* x x)) c) (/ 1 (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ (cos (* x 2)) (* (* (* c s) x) c)) (* s x)) (* x 2) (* (* (* c s) x) c) (* (neg c) (* s x)) (* (* (* x c) x) s) (* (* (* s x) x) c) (* (* (* (* s x) x) c) (* s c)) (* (* s x) x) (* (* c s) x) (/ (cos (* x 2)) (* (* (* c s) x) c)))
5.0ms	s	@	-inf	((/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s x))) (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/ (cos (* x 2)) (* s x)) (cos (* x 2)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* x c) x) s) (* s c)) (/ (/ (/ 1 (* x x)) c) (* (* c s) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* x x)) c) (/ 1 (* x x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (/ (/ (cos (* x 2)) (* (* (* c s) x) c)) (* s x)) (* x 2) (* (* (* c s) x) c) (* (neg c) (* s x)) (* (* (* x c) x) s) (* (* (* s x) x) c) (* (* (* (* s x) x) c) (* s c)) (* (* s x) x) (* (* c s) x) (/ (cos (* x 2)) (* (* (* c s) x) c)))

simplify171.0ms (1.9%)

Memory

26.3MiB live, 172.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	547
1	330	547
2	1055	513
3	3904	493
4	6395	491
0	8786	461

Stop Event

1×	iter limit
1×	node limit

Counts

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

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

rewrite200.0ms (2.2%)

Memory

-30.3MiB live, 260.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	303
0	78	305
1	255	293
2	1336	237
0	8362	237

Stop Event

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

Counts

26 → 1 724

Calls

Call 1

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

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

eval163.0ms (1.8%)

Memory: 16.7MiB live, 356.7MiB allocated
Compiler: Compiled 34 216 to 3 976 computations (88.4% saved)

prune96.0ms (1%)

Memory

19.0MiB live, 226.3MiB allocated

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	1 283	23	1 306
Fresh	5	14	19
Picked	5	0	5
Done	0	0	0
Total	1 293	37	1 330

Accuracy

100.0%

Counts

1 330 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 s s)) (.f64 (.f64 c x) c))
	65.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s x)) (neg.f64 c)) (.f64 (neg.f64 c) (.f64 s x)))
	95.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s x) c) c)) (*.f64 s x))
	79.9%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) c)) (.f64 s x))
▶	93.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s)))
▶	97.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	82.5%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
	92.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
	77.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 c c) s) s) x) x))
	87.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) s) (.f64 x s)))
	94.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c s) x) (.f64 c s)) x))
	95.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))
	70.3%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 c s)) x (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c))) (.f64 (neg.f64 c) (.f64 s x)))
▶	82.8%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (neg.f64 c) (*.f64 s x)))
	61.4%	(/.f64 #s(approx (/ (cos (* x 2)) (* (* (* c s) x) c)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c s)) c)) x)) (.f64 s x))
	80.7%	(/.f64 #s(approx (/ (cos (* x 2)) (* (* (* c s) x) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) c))) (.f64 s x))
	62.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
	52.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
▶	78.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s)))
	81.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) c) (sqrt.f64 s)) (sqrt.f64 s)) (.f64 s c))))
	62.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))
	75.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x) c) s) s) (*.f64 (neg.f64 x) c))))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))))
	78.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 s c))))
	80.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c s) x) c) (*.f64 s x))))
	60.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (neg.f64 x) c) (.f64 (neg.f64 x) c)) (*.f64 s s))))
	79.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (neg.f64 x) c) s) (.f64 (*.f64 (neg.f64 x) c) s))))
	68.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) s) (.f64 (*.f64 c s) c))))
	62.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c x) c))))
	54.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s))))
▶	76.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* (* x c) x) s) (.f64 (.f64 (.f64 s x) x) c)) (.f64 s c))))
	82.0%	#s(approx (/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s x))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) s)) (.f64 (*.f64 c x) c)))
	41.9%	#s(approx (/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s 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) s) c) c)) (*.f64 x x)))
	74.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 c x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 c s) x) s)))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 c (*.f64 (neg.f64 x) c)) s)))

Compiler

Compiled 1 920 to 1 282 computations (33.2% saved)

simplify187.0ms (2%)

Memory

10.7MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	360
0	72	360
1	151	360
2	356	360
3	824	360
4	1020	360
5	1173	360
6	1357	360
7	1478	360
8	1638	360
9	2135	360
10	2423	360
11	2442	360
12	3235	360
13	6505	360
0	8347	360

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (1.9%)

Memory

-26.6MiB live, 172.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2483738647679868	(cos.f64 (+.f64 x x))
accuracy	1.2504196695378171	(.f64 (.f64 (*.f64 x c) s) c)
accuracy	2.886065873278451	(.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s))
accuracy	6.533045601685071	(.f64 (.f64 x c) s)
accuracy	0.764008291534854	(/.f64 #s(literal -1 binary64) (*.f64 s x))
accuracy	2.321063931536657	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)
accuracy	2.508810328699308	(.f64 (neg.f64 c) (.f64 s x))
accuracy	17.368683071224098	#s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
accuracy	1.2504196695378171	(.f64 (.f64 (*.f64 x c) s) c)
accuracy	2.886065873278451	(.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s))
accuracy	6.533045601685071	(.f64 (.f64 x c) s)
accuracy	26.03625899360949	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.12109375	(.f64 (.f64 s x) x)
accuracy	4.761752507762957	(.f64 #s(approx ( (* (* x c) x) s) (.f64 (.f64 (.f64 s x) x) c)) (.f64 s c))
accuracy	6.479300985580326	(.f64 (.f64 (*.f64 s x) x) c)
accuracy	26.03625899360949	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.10546875	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
accuracy	0.205410009768442	(.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))
accuracy	0.2483738647679868	(cos.f64 (+.f64 x x))
accuracy	5.4226397016521375	(.f64 x (.f64 s c))

Samples

111.0ms

256×

valid

Compiler

Compiled 642 to 93 computations (85.5% saved)

Precisions

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

ival-mult: 34.0ms (39.7% of total)

ival-div: 29.0ms (33.9% of total)

ival-cos: 14.0ms (16.4% of total)

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

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

ival-neg: 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)

series40.0ms (0.4%)

Memory

15.9MiB live, 58.5MiB allocated

Counts

19 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

simplify146.0ms (1.6%)

Memory

9.6MiB live, 171.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	364
1	233	364
2	763	342
3	2920	330
4	5284	326
0	8132	309

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite53.0ms (0.6%)

Memory

3.4MiB live, 78.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	231
0	68	219
1	216	211
0	946	211

Stop Event

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

Counts

19 → 265

Calls

Call 1

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

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

eval39.0ms (0.4%)

Memory: -2.8MiB live, 74.7MiB allocated
Compiler: Compiled 7 097 to 854 computations (88% saved)

prune90.0ms (1%)

Memory

-22.0MiB live, 217.3MiB allocated

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	270	17	287
Fresh	13	19	32
Picked	1	4	5
Done	0	0	0
Total	284	40	324

Accuracy

100.0%

Counts

324 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) x) (.f64 s s)) (.f64 (.f64 c x) c))
	65.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 s x)) (neg.f64 c)) (.f64 (neg.f64 c) (.f64 s x)))
	95.4%	(/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 s x) c) c)) (*.f64 s x))
	80.7%	(/.f64 (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (neg.f64 c)) (.f64 s x))
	79.9%	(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c s) x) c)) (.f64 s x))
	72.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) c))
	87.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c x) c) s) (*.f64 x s)))
	89.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c s) x) s) (*.f64 c x)))
	96.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s x) c) (.f64 x (*.f64 s c))))
	73.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
✓	97.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	89.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) (.f64 (.f64 c s) (*.f64 s x))))
	92.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 (sqrt.f64 s) x)) (sqrt.f64 s)))
	95.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s)))
	82.8%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (neg.f64 c) (.f64 s x)))
✓	82.8%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (neg.f64 c) (*.f64 s x)))
	81.6%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 c s)) x)) (.f64 (neg.f64 c) (*.f64 s x)))
	82.7%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) s) c))) (.f64 (neg.f64 c) (.f64 s x)))
	75.4%	(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 c s)) (-.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal -2 binary64) x)))) (.f64 (neg.f64 c) (*.f64 s x)))
	80.7%	(/.f64 #s(approx (/ (cos (* x 2)) (* (* (* c s) x) c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) c) c))) (.f64 s x))
	62.0%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s)))
	81.7%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	52.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c))))
✓	78.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x c) s) c) (*.f64 x s)))
	73.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) c) s) (*.f64 x s)))
	78.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c (.f64 c s)) x) (*.f64 x s)))
	80.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* (* x c) s) c) (.f64 (.f64 (.f64 s x) c) c)) (.f64 x s)))
	62.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) c) s) s)))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))))
	78.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c s) x) x) (*.f64 s c))))
	60.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (neg.f64 x) c) (.f64 (neg.f64 x) c)) (*.f64 s s))))
	79.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (neg.f64 x) c) s) (.f64 (*.f64 (neg.f64 x) c) s))))
	68.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) s) (.f64 (*.f64 c s) c))))
	54.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s))))
✓	76.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* (* x c) x) s) (.f64 (.f64 (.f64 s x) x) c)) (.f64 s c))))
	82.7%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c) #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)))
	82.0%	#s(approx (/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s x))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) s)) (.f64 (*.f64 c x) c)))
	41.9%	#s(approx (/ (/ (/ (cos (* x 2)) (* s x)) (neg c)) (* (neg c) (* s 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) s) c) c)) (*.f64 x x)))
	74.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (.f64 c x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 c s) x) s)))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) s) (.f64 (.f64 c (*.f64 (neg.f64 x) c)) s)))

Compiler

Compiled 2 769 to 992 computations (64.2% saved)

regimes161.0ms (1.8%)

Memory

9.0MiB live, 160.6MiB allocated

Counts

78 → 1

Calls

Call 1

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

Calls

6 calls:

50.0ms	s
26.0ms	(pow.f64 c #s(literal 2 binary64))
23.0ms	x
23.0ms	c
19.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`c`
98.5%	1	`s`
98.5%	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)))`
98.5%	1	`(pow.f64 c #s(literal 2 binary64))`
98.5%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes170.0ms (1.9%)

Memory

-23.8MiB live, 195.0MiB allocated

Counts

69 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

40.0ms	s
34.0ms	(/.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)))
33.0ms	(pow.f64 c #s(literal 2 binary64))
21.0ms	c
21.0ms	x

Results

Accuracy	Segments	Branch
99.2%	2	`x`
97.4%	1	`c`
98.9%	2	`s`
97.4%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.4%	1	`(pow.f64 c #s(literal 2 binary64))`
97.4%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes77.0ms (0.8%)

Memory

32.1MiB live, 152.1MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	s
16.0ms	c
16.0ms	(pow.f64 s #s(literal 2 binary64))
14.0ms	x
12.0ms	(/.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
97.4%	1	`c`
97.4%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.4%	1	`(pow.f64 s #s(literal 2 binary64))`
97.4%	1	`s`
97.4%	1	`x`

Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes135.0ms (1.5%)

Memory

-27.5MiB live, 129.8MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

64.0ms	c
19.0ms	(pow.f64 c #s(literal 2 binary64))
16.0ms	s
13.0ms	(pow.f64 s #s(literal 2 binary64))
12.0ms	x

Results

Accuracy	Segments	Branch
92.2%	2	`(pow.f64 c #s(literal 2 binary64))`
97.1%	2	`x`
92.2%	2	`c`
97.6%	2	`s`
89.3%	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)))`
96.9%	2	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes49.0ms (0.5%)

Memory

14.8MiB live, 52.2MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

25.0ms	x
12.0ms	s
11.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.5%	2	`(pow.f64 s #s(literal 2 binary64))`
96.0%	2	`x`
92.5%	2	`s`

Compiler

Compiled 5 to 11 computations (-120% saved)

regimes129.0ms (1.4%)

Memory

-12.2MiB live, 147.5MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

29.0ms	s
27.0ms	c
26.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
24.0ms	x
11.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.6%	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)))`
82.8%	1	`(pow.f64 c #s(literal 2 binary64))`
82.8%	1	`c`
82.8%	1	`s`
82.8%	1	`(pow.f64 s #s(literal 2 binary64))`
82.8%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

(/.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
86.5%	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)

regimes25.0ms (0.3%)

Memory

-33.1MiB live, 17.5MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

(/.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
86.5%	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)

regimes7.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
86.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes51.0ms (0.6%)

Memory

20.2MiB live, 58.4MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	s
7.0ms	c
6.0ms	x
6.0ms	(pow.f64 s #s(literal 2 binary64))
6.0ms	(pow.f64 c #s(literal 2 binary64))

Results

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

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes45.0ms (0.5%)

Memory

13.6MiB live, 50.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	c
6.0ms	s
6.0ms	x
6.0ms	(pow.f64 s #s(literal 2 binary64))
5.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
81.7%	1	`(pow.f64 c #s(literal 2 binary64))`
81.7%	1	`(pow.f64 s #s(literal 2 binary64))`
81.7%	1	`x`
81.7%	1	`s`
81.7%	1	`c`
81.7%	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)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes29.0ms (0.3%)

Memory

-11.7MiB live, 26.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	x
4.0ms	s
3.0ms	c
3.0ms	(pow.f64 s #s(literal 2 binary64))
3.0ms	(pow.f64 c #s(literal 2 binary64))

Results

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

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes28.0ms (0.3%)

Memory

-15.5MiB live, 28.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	(pow.f64 s #s(literal 2 binary64))
3.0ms	x
3.0ms	c
3.0ms	s
3.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.0%	1	`c`
80.0%	1	`(pow.f64 c #s(literal 2 binary64))`
80.0%	1	`s`
80.0%	1	`(pow.f64 s #s(literal 2 binary64))`
80.0%	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)))`
80.0%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes12.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Accuracy

Total -14.6b remaining (-98.1%)

Threshold costs -14.6b (-98.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
76.8%	1	`c`
76.8%	1	`(pow.f64 c #s(literal 2 binary64))`
76.8%	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)))`
76.8%	1	`(pow.f64 s #s(literal 2 binary64))`
76.8%	1	`s`
76.8%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch28.0ms (0.3%)

Memory

-21.5MiB live, 16.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
27.0ms	1.5724616892020199e-66	3.0612462838085067e-60

Samples

24.0ms

48×

valid

Compiler

Compiled 151 to 117 computations (22.5% saved)

Precisions

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

ival-mult: 1.0ms (37.9% of total)

ival-pow2: 1.0ms (37.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0018436495666426e+178	5.822998851071305e+184

Samples

14.0ms

144×

valid

Compiler

Compiled 397 to 297 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 3.0ms (29.4% of total)

ival-mult: 3.0ms (29.4% of total)

ival-pow2: 3.0ms (29.4% of total)

ival-div: 1.0ms (9.8% 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

8.5MiB live, 8.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	4.735596222030845e-22	7.752497857085437e-21

Samples

1.0ms

16×

valid

Compiler

Compiled 75 to 59 computations (21.3% 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)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.084537543286656e-181	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.084537543286656e-181	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.084537543286656e-181	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.084537543286656e-181	0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify124.0ms (1.4%)

Memory

-26.3MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	118	615
1	161	615
2	187	615
3	226	613
4	282	613
5	384	610
6	561	610
7	877	610
8	1226	610
9	1521	610
10	1784	610
11	1956	610
12	2048	610
13	2107	610
14	2151	610
15	2187	610
16	2202	610
17	2206	610
18	2206	610

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (neg.f64 c)) (.f64 (neg.f64 c) (.f64 s x)))
(if (<=.f64 x #s(literal 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (neg.f64 c) (.f64 s x))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(if (<=.f64 s #s(literal 350000000000000022585919554533438458789737633436012094194425852414575332637571002946950284976810804955758839761133144630672681782823011677224967133629769651932802829262173372810264576 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) (.f64 (.f64 c s) (.f64 s x)))) (/.f64 #s(approx (/ (/ (cos ( x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (neg.f64 c) (*.f64 s x))))
(if (<=.f64 x #s(literal 5316911983139663/10633823966279326983230456482242756608 binary64)) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (neg.f64 c) (.f64 s x))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 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 -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (neg.f64 c) (.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (neg.f64 c) (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) s) c))) (.f64 (neg.f64 c) (.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (.f64 s c)))) (/.f64 #s(approx (/ (/ (cos ( x 2)) (* s x)) (neg c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) s) c))) (.f64 (neg.f64 c) (.f64 s x))))
(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) s) c))) (.f64 (neg.f64 c) (.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* (* x c) s) c) (.f64 (.f64 (.f64 s x) c) c)) (.f64 x s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c s) x) c) (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* (* x c) x) s) (.f64 (.f64 (.f64 s x) x) c)) (.f64 s c))))

Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 s x)) (neg.f64 c)) (.f64 (neg.f64 c) (.f64 s x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 s x)) c) (.f64 c (.f64 s x)))
(if (<=.f64 x #s(literal 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (neg.f64 c) (.f64 s x))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 x c) s))))
(if (<=.f64 x #s(literal 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (.f64 (neg.f64 x) s) c)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (.f64 c x) s))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(if (<=.f64 s #s(literal 350000000000000022585919554533438458789737633436012094194425852414575332637571002946950284976810804955758839761133144630672681782823011677224967133629769651932802829262173372810264576 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c x) (.f64 (.f64 c s) (.f64 s x)))) (/.f64 #s(approx (/ (/ (cos ( x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (neg.f64 c) (*.f64 s x))))
(if (<=.f64 s #s(literal 350000000000000022585919554533438458789737633436012094194425852414575332637571002946950284976810804955758839761133144630672681782823011677224967133629769651932802829262173372810264576 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) (.f64 s x)) (.f64 c x))) (/.f64 #s(approx (/ (/ (cos ( x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (*.f64 (neg.f64 x) s) c)))
(if (<=.f64 x #s(literal 5316911983139663/10633823966279326983230456482242756608 binary64)) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (neg.f64 c) (.f64 s x))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (*.f64 s c)))))
(if (<=.f64 x #s(literal 5316911983139663/10633823966279326983230456482242756608 binary64)) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (.f64 (neg.f64 x) s) c)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) x) s) (*.f64 c s)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (neg.f64 c) (.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c x) s) c) (.f64 s x))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) s))) c)) (.f64 (.f64 (neg.f64 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 -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (neg.f64 c) (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c x) s) c) (.f64 s x))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 s x)) c)) (.f64 (*.f64 (neg.f64 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 -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x c) s) c) (.f64 x s))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) s) c))) (.f64 (neg.f64 c) (.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c x) s) c) (.f64 s x))) (/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 #s(literal -1 binary64) (.f64 c (.f64 s x)))) (.f64 (.f64 (neg.f64 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 -7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 x c) x) s) (.f64 s c)))) (/.f64 #s(approx (/ (/ (cos ( x 2)) (* s x)) (neg c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) s) c))) (.f64 (neg.f64 c) (.f64 s x))))
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(/.f64 #s(approx (/ (/ (cos (* x 2)) (* s x)) (neg c)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) s) c))) (.f64 (neg.f64 c) (.f64 s x)))
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(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s 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 #s(approx ( (* (* x c) s) c) (.f64 (.f64 (.f64 s x) c) c)) (.f64 x s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (* (* x c) s) c) (.f64 (.f64 c (.f64 s x)) c)) (.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c s) x) c) (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* (* x c) x) s) (.f64 (.f64 (.f64 s x) x) c)) (.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 #s(approx ( (* (* x c) x) s) (.f64 (.f64 (.f64 s x) x) c)) (.f64 c s))))

soundness2.2s (23.6%)

Memory

12.2MiB live, 1 137.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	364
1	233	364
2	763	342
3	2920	330
4	5284	326
0	8132	309
0	28	76
1	57	76
2	139	76
3	380	76
4	707	76
5	843	76
6	952	76
7	1174	76
8	1609	76
9	2829	76
10	4799	76
11	5552	76
12	5686	76
13	5754	76
14	5818	76
15	5842	76
16	6532	76
17	6631	76
18	6641	76
19	6641	76
20	6641	76
21	7619	76
0	8079	70
0	47	303
0	78	305
1	255	293
2	1336	237
0	8362	237
0	58	261
1	137	261
2	425	247
3	1827	237
4	4544	229
5	6691	229
0	8034	217
0	11	36
0	18	36
1	44	36
2	127	34
3	682	30
4	7125	30
0	8660	30
0	127	547
1	330	547
2	1055	513
3	3904	493
4	6395	491
0	8786	461
0	31	179
0	52	177
1	146	141
2	492	141
3	4254	141
0	8588	141
0	47	231
0	68	219
1	216	211
0	946	211

Stop Event

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

Compiler

Compiled 1 974 to 922 computations (53.3% saved)

preprocess264.0ms (2.9%)

Memory: 3.7MiB live, 281.8MiB allocated
Compiler: Compiled 3 940 to 1 982 computations (49.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze163.0ms (1.8%)

sample1.7s (18.1%)

explain151.0ms (1.6%)

preprocess49.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.4%)

localize65.0ms (0.7%)

series16.0ms (0.2%)

simplify505.0ms (5.5%)

rewrite241.0ms (2.6%)

eval174.0ms (1.9%)

prune96.0ms (1%)

simplify26.0ms (0.3%)

localize114.0ms (1.2%)

series49.0ms (0.5%)

simplify154.0ms (1.7%)

rewrite189.0ms (2.1%)

eval165.0ms (1.8%)

prune40.0ms (0.4%)

simplify151.0ms (1.6%)

localize164.0ms (1.8%)

series71.0ms (0.8%)

simplify171.0ms (1.9%)

rewrite200.0ms (2.2%)

eval163.0ms (1.8%)

prune96.0ms (1%)

simplify187.0ms (2%)

localize175.0ms (1.9%)

series40.0ms (0.4%)

simplify146.0ms (1.6%)

rewrite53.0ms (0.6%)

eval39.0ms (0.4%)

prune90.0ms (1%)

regimes161.0ms (1.8%)

regimes170.0ms (1.9%)

regimes77.0ms (0.8%)

regimes135.0ms (1.5%)

regimes49.0ms (0.5%)

regimes129.0ms (1.4%)

regimes10.0ms (0.1%)

regimes25.0ms (0.3%)

regimes7.0ms (0.1%)

regimes51.0ms (0.6%)

regimes45.0ms (0.5%)

regimes29.0ms (0.3%)

regimes28.0ms (0.3%)

regimes12.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch22.0ms (0.2%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify124.0ms (1.4%)

soundness2.2s (23.6%)

preprocess264.0ms (2.9%)

end0.0ms (0%)

Profiling