Metrics for mixedcos

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze180.0ms (2.6%)

Memory

-22.1MiB live, 260.5MiB allocated; 36ms collecting garbage

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)

sample1.6s (23.4%)

Memory

28.5MiB live, 1 364.2MiB allocated; 1.0s collecting garbage

Samples

918.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 651.0ms

ival-mult: 228.0ms (35% of total)

ival-cos: 178.0ms (27.4% of total)

ival-pow2: 170.0ms (26.1% of total)

ival-div: 58.0ms (8.9% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain162.0ms (2.3%)

Memory

-5.5MiB live, 188.4MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
59	0	-	1	(-5.998474525950156e-118 28296239.037008308 1.076960684688704e-42)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
30	0	-	1	(-7.695377364222645e+42 4.029324600391858e-119 1.7326047347320628e-157)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
13	0	-	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	118	(-3.4287074089532577e+183 2.0470254133693108e-179 -2.543574167858338e+251)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	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	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	118	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	30	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	74
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	87
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	74
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	68
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	16	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	15	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	56
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	71
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	66
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	67
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	13	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	8	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	7	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	6	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	5	0

Confusion

	Predicted +	Predicted -
+	88	1
-	87	80

Precision

0.5028571428571429

Recall

0.9887640449438202

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	88	0	1
-	87	0	80

Precision?

0.5028571428571429

Recall?

0.9887640449438202

Freqs

test

number	freq
0	81
1	133
2	41
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-pow2: 16.0ms (38.1% of total)

ival-mult: 12.0ms (28.6% of total)

ival-cos: 10.0ms (23.8% of total)

ival-div: 3.0ms (7.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess176.0ms (2.5%)

Memory

20.2MiB live, 148.0MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.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)

simplify126.0ms (1.8%)

Memory

18.1MiB live, 103.6MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1%)

Memory

-51.7MiB live, 74.8MiB allocated; 25ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy	2.8984144278645063	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	9.501641881991167	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	11.434220057607467	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 23.0ms (50.2% of total)

ival-div: 13.0ms (28.4% of total)

ival-cos: 5.0ms (10.9% of total)

ival-pow2: 4.0ms (8.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

36.6MiB live, 36.6MiB allocated; 0ms collecting garbage

Counts

6 → 14

Calls

Call 1

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

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

Calls

9 calls:

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

simplify153.0ms (2.2%)

Memory

4.8MiB live, 145.5MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite122.0ms (1.7%)

Memory

-11.0MiB live, 123.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

6 → 256

Calls

Call 1

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

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

eval38.0ms (0.5%)

Memory: 1.7MiB live, 58.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 488 to 894 computations (86.2% saved)

prune19.0ms (0.3%)

Memory

-5.0MiB live, 39.9MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	252	18	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	18	271

Accuracy

99.2%

Counts

271 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.3%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) s) (.f64 s x))
	71.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) x) c)) c)
▶	65.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x))
	83.6%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) x) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
	76.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (.f64 x x)))
	81.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 s x) (*.f64 s x))))
▶	83.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x) x))
▶	71.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
	71.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
	81.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	82.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
▶	75.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	75.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	83.6%	(.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
▶	49.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
	47.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) c) s)) (.f64 x x)))
	76.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s))
	60.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))

Compiler

Compiled 762 to 530 computations (30.4% saved)

simplify124.0ms (1.8%)

Memory

-0.7MiB live, 88.6MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
cost-diff	6	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 s s) x))
cost-diff	2	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
cost-diff	2	(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
cost-diff	0	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
cost-diff	2	(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))
cost-diff	3	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
cost-diff	0	(.f64 (.f64 (pow.f64 (*.f64 c s) #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 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	333
0	80	313
1	180	307
2	599	301
3	4090	301
4	7798	301
0	8039	301

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.2%)

Memory

29.8MiB live, 171.4MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.726290005730006	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c))
accuracy	2.8984144278645063	(.f64 (.f64 (*.f64 s s) x) x)
accuracy	4.787584308174167	(.f64 (.f64 (.f64 (.f64 s s) x) x) c)
accuracy	9.501641881991167	(.f64 (.f64 s s) x)
accuracy	0.31488915032005116	(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 s s) x))
accuracy	6.505165742492683	(.f64 (.f64 c c) x)
accuracy	9.501641881991167	(.f64 (.f64 s s) x)
accuracy	9.53954551200788	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s s) x)) (.f64 (*.f64 c c) x))
accuracy	0.0859375	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
accuracy	3.9207440857019353	(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
accuracy	5.01191005965055	(.f64 (.f64 (*.f64 s s) x) c)
accuracy	9.501641881991167	(.f64 (.f64 s s) x)
accuracy	8.261549682313724	(.f64 (.f64 x x) c)
accuracy	11.541667158495043	(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))
accuracy	12.093824864766729	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s)))
accuracy	19.40636665041325	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
accuracy	0.0859375	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x) x))
accuracy	0.23666000976844204	(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy	3.970980529534908	(.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
accuracy	6.308928934192828	(.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)

Samples

111.0ms

256×

valid

Compiler

Compiled 318 to 47 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 55.0ms (62.1% of total)

ival-cos: 14.0ms (15.8% of total)

ival-div: 9.0ms (10.2% of total)

ival-pow2: 7.0ms (7.9% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series107.0ms (1.5%)

Memory

-40.6MiB live, 74.1MiB allocated; 21ms collecting garbage

Counts

24 → 35

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	s	@	0	((/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (cos (* 2 x)) (* 2 x) (* (* (pow (* c s) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (/ (/ (cos (* -2 x)) (* (* s s) x)) (* (* c c) x)) (/ (cos (* -2 x)) (* (* s s) x)) (cos (* -2 x)) (* -2 x) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c))) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* c c) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
18.0ms	x	@	0	((/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (cos (* 2 x)) (* 2 x) (* (* (pow (* c s) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (/ (/ (cos (* -2 x)) (* (* s s) x)) (* (* c c) x)) (/ (cos (* -2 x)) (* (* s s) x)) (cos (* -2 x)) (* -2 x) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c))) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* c c) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
9.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (cos (* 2 x)) (* 2 x) (* (* (pow (* c s) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (/ (/ (cos (* -2 x)) (* (* s s) x)) (* (* c c) x)) (/ (cos (* -2 x)) (* (* s s) x)) (cos (* -2 x)) (* -2 x) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c))) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* c c) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
7.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (cos (* 2 x)) (* 2 x) (* (* (pow (* c s) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (/ (/ (cos (* -2 x)) (* (* s s) x)) (* (* c c) x)) (/ (cos (* -2 x)) (* (* s s) x)) (cos (* -2 x)) (* -2 x) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c))) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* c c) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
5.0ms	x	@	inf	((/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (cos (* 2 x)) (* 2 x) (* (* (pow (* c s) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (/ (/ (cos (* -2 x)) (* (* s s) x)) (* (* c c) x)) (/ (cos (* -2 x)) (* (* s s) x)) (cos (* -2 x)) (* -2 x) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c)) (/ (cos (* 2 x)) (* (* (* (* (* (* s s) x) x) c) (sqrt c)) (sqrt c))) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* c c) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))

simplify258.0ms (3.7%)

Memory

-2.3MiB live, 228.9MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	491
1	265	451
2	979	425
3	7108	425
0	8396	407

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite138.0ms (2%)

Memory

-4.6MiB live, 42.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	245
0	80	225
1	239	193
0	1189	193

Stop Event

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

Counts

24 → 516

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 21.9MiB live, 66.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 475 to 1 272 computations (86.6% saved)

prune34.0ms (0.5%)

Memory

13.0MiB live, 67.9MiB allocated; 9ms collecting garbage

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	355	32	387
Fresh	9	4	13
Picked	5	0	5
Done	0	0	0
Total	369	36	405

Accuracy

100.0%

Counts

405 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.8%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) s) (.f64 s x)) (.f64 (.f64 c c) x))
	81.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
	77.8%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s x) s)) (.f64 (*.f64 c c) x))
	72.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s s) x)) (.f64 (*.f64 c x) c))
	75.3%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c x)) (.f64 (.f64 (*.f64 s s) x) c))
	75.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	75.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 x x)) (sqrt.f64 c)) (sqrt.f64 c)))
	80.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s c) s) c) x) x))
	79.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c)))
▶	81.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	82.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x)))
	80.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) s) (.f64 s x)) x))
	93.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 s c)) (.f64 s c)) x))
▶	97.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	84.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s c) s) x)))
	78.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(approx (* (pow (* c s) 2) x) (.f64 (.f64 (.f64 (.f64 c c) x) s) s)) x))
	43.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
	43.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	46.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
▶	74.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
	64.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
▶	65.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	76.7%	#s(approx (/ (/ (cos (* -2 x)) (* (* s s) x)) (* (* c c) x)) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s))
	64.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64))))
	50.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) x) (.f64 (.f64 s c) s))))
▶	51.2%	#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 x x) c) s) c)) s))
	49.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
	47.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) c) s)) (.f64 x x)))
	49.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) (*.f64 s c)) s))
	50.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (.f64 x x)) s) (*.f64 s c)))
	60.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
	49.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) x) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
	17.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	45.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 (.f64 (*.f64 s s) x) c) x))))
	31.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
	66.7%	#s(approx (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 c c) x) x)) s) s))

Compiler

Compiled 1 874 to 1 276 computations (31.9% saved)

simplify75.0ms (1.1%)

Memory

-20.6MiB live, 69.9MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	316
0	78	308
1	182	298
2	590	298
3	3363	298
0	8161	298

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (2.3%)

Memory

8.7MiB live, 151.5MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
accuracy	3.1788840259463456	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
accuracy	6.505165742492683	(.f64 (.f64 c c) x)
accuracy	7.244873321031071	(.f64 (.f64 (.f64 c c) x) (.f64 s x))
accuracy	0.23666000976844204	(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy	3.970980529534908	(.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
accuracy	6.308928934192828	(.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)
accuracy	26.697565842465373	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	5.920092400716643	(.f64 (.f64 (*.f64 x x) c) s)
accuracy	8.261549682313724	(.f64 (.f64 x x) c)
accuracy	11.127814863703549	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) c) s) c))
accuracy	19.40636665041325	#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 x x) c) s) c)) s))
accuracy	3.9207440857019353	(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
accuracy	5.01191005965055	(.f64 (.f64 (*.f64 s s) x) c)
accuracy	9.501641881991167	(.f64 (.f64 s s) x)
accuracy	26.697565842465373	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.0859375	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
accuracy	0.1796875	(.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))
accuracy	3.3583779818910084	(.f64 (.f64 s c) x)

Samples

77.0ms

256×

valid

Compiler

Compiled 294 to 45 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 33.0ms (58.6% of total)

ival-div: 9.0ms (16% of total)

ival-pow2: 6.0ms (10.7% of total)

ival-cos: 5.0ms (8.9% of total)

ival-add: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.8%)

Memory

1.0MiB live, 90.1MiB allocated; 14ms collecting garbage

Counts

25 → 32

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	s	@	0	((* (* (* s c) x) (* (* s c) x)) (/ (cos (* 2 x)) (* (* (* s c) x) (* (* s c) x))) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* x c) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (* (* (* (* c c) x) (* s x)) s) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* s c) x) (* (* s s) x) (* (* (* s s) x) c) (* (* x x) c) (* (* (* x x) c) s) (pow (* c s) 2) (* (* (* c c) x) (* s x)) (* (* c c) x))
10.0ms	x	@	-inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (* 2 x)) (* (* (* s c) x) (* (* s c) x))) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* x c) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (* (* (* (* c c) x) (* s x)) s) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* s c) x) (* (* s s) x) (* (* (* s s) x) c) (* (* x x) c) (* (* (* x x) c) s) (pow (* c s) 2) (* (* (* c c) x) (* s x)) (* (* c c) x))
5.0ms	s	@	-inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (* 2 x)) (* (* (* s c) x) (* (* s c) x))) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* x c) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (* (* (* (* c c) x) (* s x)) s) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* s c) x) (* (* s s) x) (* (* (* s s) x) c) (* (* x x) c) (* (* (* x x) c) s) (pow (* c s) 2) (* (* (* c c) x) (* s x)) (* (* c c) x))
5.0ms	c	@	-inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (* 2 x)) (* (* (* s c) x) (* (* s c) x))) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* x c) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (* (* (* (* c c) x) (* s x)) s) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* s c) x) (* (* s s) x) (* (* (* s s) x) c) (* (* x x) c) (* (* (* x x) c) s) (pow (* c s) 2) (* (* (* c c) x) (* s x)) (* (* c c) x))
5.0ms	c	@	inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (* 2 x)) (* (* (* s c) x) (* (* s c) x))) (cos (* 2 x)) (* 2 x) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* x c) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (* (* (* (* c c) x) (* s x)) s) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* s c) x) (* (* s s) x) (* (* (* s s) x) c) (* (* x x) c) (* (* (* x x) c) s) (pow (* c s) 2) (* (* (* c c) x) (* s x)) (* (* c c) x))

simplify348.0ms (5%)

Memory

-20.6MiB live, 293.4MiB allocated; 68ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	438
1	215	388
2	740	358
3	4950	346
0	8048	337

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite167.0ms (2.4%)

Memory

18.5MiB live, 204.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	254
0	78	234
1	241	214
2	1157	214
0	8513	214

Stop Event

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

Counts

25 → 1 198

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (neg.f64 s) (neg.f64 c)) (neg.f64 x)) (.f64 (*.f64 (neg.f64 s) (neg.f64 c)) (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 s) (neg.f64 c))) (.f64 (neg.f64 x) (*.f64 (neg.f64 s) (neg.f64 c))))
(.f64 (neg.f64 (.f64 (neg.f64 c) x)) (.f64 (.f64 (*.f64 s s) x) c))
(.f64 (fabs.f64 (.f64 (neg.f64 c) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))) c)
(.f64 (fabs.f64 (.f64 (neg.f64 x) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) x)
(.f64 (fabs.f64 (.f64 (.f64 (.f64 c c) x) s)) (fabs.f64 (*.f64 x s)))
(.f64 (fabs.f64 (.f64 (.f64 x x) c)) (fabs.f64 (.f64 (*.f64 c s) s)))
(.f64 (fabs.f64 (.f64 (.f64 c c) x)) (fabs.f64 (.f64 (*.f64 s s) x)))
(.f64 (fabs.f64 (.f64 (.f64 s s) x)) (fabs.f64 (.f64 (*.f64 c c) x)))
(.f64 (fabs.f64 (.f64 (.f64 (.f64 s s) x) c)) (*.f64 x c))
(.f64 (fabs.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) c) s)) (*.f64 c s))
(.f64 (fabs.f64 (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
(.f64 (fabs.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) s) c)) s)
(.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (.f64 (.f64 (*.f64 c c) x) s)))
(.f64 (exp.f64 (log.f64 (.f64 x (.f64 c s)))) (exp.f64 (log.f64 (.f64 x (*.f64 c s)))))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) s) s) c)
(.f64 (.f64 (.f64 c s) s) (.f64 (*.f64 x x) c))
(.f64 (.f64 (.f64 c c) s) (fabs.f64 (.f64 (*.f64 x s) x)))
(.f64 (.f64 (.f64 c c) s) (.f64 (*.f64 x s) x))
(.f64 (.f64 (neg.f64 c) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) (neg.f64 c))
(.f64 (.f64 (.f64 (neg.f64 c) x) c) (.f64 (*.f64 (neg.f64 s) x) s))
(.f64 (neg.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 s) (neg.f64 c)) (.f64 (.f64 (*.f64 x x) c) s))
(.f64 (.f64 (neg.f64 c) x) (.f64 (.f64 (neg.f64 s) s) (*.f64 x c)))
(.f64 (neg.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64))) (*.f64 (neg.f64 c) c))
(.f64 (.f64 (.f64 (neg.f64 s) s) (.f64 x c)) (*.f64 (neg.f64 c) x))
(.f64 (.f64 (neg.f64 x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (neg.f64 x))
(.f64 (.f64 (neg.f64 c) c) (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 s) c) (.f64 (.f64 (neg.f64 s) x) (*.f64 x c)))
(.f64 (pow.f64 (.f64 x c) #s(literal 2 binary64)) (*.f64 s s))
(.f64 (.f64 (.f64 x s) x) (.f64 (*.f64 c c) s))
(.f64 (.f64 (.f64 (.f64 c c) x) s) (*.f64 x s))
(.f64 (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
(.f64 (.f64 (.f64 (neg.f64 s) x) (.f64 (*.f64 c c) x)) (neg.f64 s))
(.f64 (.f64 (.f64 (neg.f64 s) x) c) (.f64 (*.f64 (neg.f64 s) x) c))
(.f64 (neg.f64 s) (.f64 (.f64 (neg.f64 s) x) (.f64 (*.f64 c c) x)))
(.f64 (neg.f64 c) (.f64 (neg.f64 c) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(.f64 (.f64 x s) (.f64 (.f64 (*.f64 c c) x) s))
(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s s) x))
(.f64 (.f64 c c) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
(.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) (*.f64 c c))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) s) c) s)
(.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 c s))
(.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 c s) s))
(.f64 (.f64 x x) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 s s) x) c) (neg.f64 (*.f64 (neg.f64 c) x)))
(.f64 (.f64 (.f64 (.f64 s s) x) c) (*.f64 x c))
(.f64 (.f64 (.f64 s s) x) (.f64 (*.f64 c c) x))
(.f64 (.f64 s s) (fabs.f64 (pow.f64 (*.f64 x c) #s(literal 2 binary64))))
(.f64 (.f64 s s) (pow.f64 (*.f64 (neg.f64 c) x) #s(literal 2 binary64)))
(.f64 (.f64 s s) (pow.f64 (*.f64 x c) #s(literal 2 binary64)))
(.f64 (.f64 x c) (fabs.f64 (.f64 (.f64 (*.f64 s s) x) c)))
(.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c))
(.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))
(.f64 x (fabs.f64 (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
(.f64 x (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(.f64 (.f64 c s) (fabs.f64 (.f64 (.f64 (*.f64 x x) c) s)))
(.f64 (.f64 c s) (.f64 (.f64 (*.f64 x x) c) s))
(.f64 c (fabs.f64 (.f64 (neg.f64 c) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))))
(.f64 c (fabs.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) s) s)))
(.f64 c (fabs.f64 (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)))
(.f64 c (.f64 (.f64 (.f64 (*.f64 x x) c) s) s))
(.f64 c (.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(.f64 s (fabs.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) s) c)))
(.f64 s (.f64 (.f64 (.f64 (*.f64 x x) c) s) c))
(pow.f64 (exp.f64 (log.f64 (.f64 x (.f64 c s)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (neg.f64 s) x) c) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (.f64 x (.f64 c s)) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (.f64 x x) (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (*.f64 x x)))
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(.f64 (pow.f64 (.f64 (neg.f64 s) c) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 s) c) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 c) (*.f64 s s)) (neg.f64 c))
(.f64 (.f64 (neg.f64 s) (*.f64 c c)) (neg.f64 s))
(.f64 (.f64 (*.f64 c s) c) s)
(.f64 (.f64 (*.f64 c s) s) c)
(.f64 (.f64 (*.f64 s s) c) c)
(.f64 (.f64 (*.f64 c c) s) s)
(.f64 (.f64 (neg.f64 s) (neg.f64 c)) (*.f64 (neg.f64 s) (neg.f64 c)))
(.f64 (.f64 (neg.f64 s) c) (*.f64 (neg.f64 s) c))
(.f64 (neg.f64 s) (.f64 (neg.f64 s) (*.f64 c c)))
(.f64 (neg.f64 c) (.f64 (neg.f64 c) (*.f64 s s)))
(.f64 (.f64 c c) (*.f64 s s))
(.f64 (.f64 s s) (*.f64 c c))
(.f64 (.f64 c s) (*.f64 c s))
(.f64 c (pow.f64 (.f64 (neg.f64 c) (*.f64 s s)) #s(literal 1 binary64)))
(.f64 c (.f64 (*.f64 c s) s))
(.f64 c (.f64 (*.f64 s s) c))
(.f64 s (.f64 (*.f64 c s) c))
(.f64 s (.f64 (*.f64 c c) s))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 c s)))
(pow.f64 (*.f64 (neg.f64 s) (neg.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 s) c) #s(literal 2 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))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64))))))))
(neg.f64 (neg.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (.f64 (log.f64 s) #s(literal 2 binary64))) (.f64 c c) (.f64 (sinh.f64 (.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 c c)))
(fma.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 s s) (.f64 (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (*.f64 s s)))
(fma.f64 (.f64 c c) (cosh.f64 (.f64 (log.f64 s) #s(literal 2 binary64))) (.f64 (.f64 c c) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(fma.f64 (.f64 s s) (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 (.f64 s s) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 (.f64 c s))) (cosh.f64 (log.f64 (.f64 c s)))) (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))))
(fabs.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 s) #s(literal 2 binary64))) (.f64 c c)) (.f64 (sinh.f64 (.f64 (log.f64 s) #s(literal 2 binary64))) (.f64 c c)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 s s)) (.f64 (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 s s)))
(+.f64 (.f64 (.f64 c c) (cosh.f64 (.f64 (log.f64 s) #s(literal 2 binary64)))) (.f64 (.f64 c c) (sinh.f64 (.f64 (log.f64 s) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 s s) (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64)))) (.f64 (.f64 s s) (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 x c) (.f64 c s)) x)
(.f64 (.f64 (.f64 c s) c) (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) c) c) s)
(.f64 (.f64 (.f64 (.f64 c c) x) x) s)
(.f64 (.f64 (.f64 (neg.f64 x) x) c) (.f64 (neg.f64 s) c))
(.f64 (.f64 (.f64 (neg.f64 s) x) (.f64 x c)) (neg.f64 c))
(.f64 (.f64 (.f64 x s) x) (.f64 c c))
(.f64 (.f64 (.f64 (.f64 c c) x) s) x)
(.f64 (neg.f64 c) (.f64 (.f64 (neg.f64 s) x) (.f64 x c)))
(.f64 (.f64 x s) (.f64 (.f64 c c) x))
(.f64 (.f64 (.f64 c c) x) (.f64 x s))
(.f64 (.f64 c c) (.f64 (.f64 x s) x))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) c) s) c) #s(literal 1 binary64))
(.f64 (.f64 (.f64 (.f64 x x) c) s) c)
(.f64 (.f64 (.f64 x x) c) (.f64 (neg.f64 s) (neg.f64 c)))
(.f64 (.f64 (.f64 x x) c) (.f64 c s))
(.f64 (.f64 x x) (.f64 (.f64 c s) c))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (*.f64 x x) c) s) c))
(.f64 (.f64 x c) (.f64 x (.f64 c s)))
(.f64 (.f64 x (.f64 c s)) (.f64 x c))
(.f64 x (.f64 (.f64 x c) (.f64 c s)))
(.f64 x (.f64 (.f64 (.f64 c c) x) s))
(.f64 (.f64 c s) (.f64 (.f64 x x) c))
(.f64 c (.f64 (.f64 (.f64 x x) c) s))
(.f64 s (.f64 (.f64 (.f64 x x) c) c))
(.f64 s (.f64 (.f64 (.f64 c c) x) x))
(neg.f64 (.f64 (.f64 (neg.f64 s) x) (.f64 (.f64 c c) x)))
(fma.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 (.f64 x s) x) (.f64 (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 (*.f64 x s) x)))
(fma.f64 (.f64 (.f64 x s) x) (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x s) x) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 (.f64 x s) x)) (.f64 (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 (.f64 x s) x)))
(+.f64 (.f64 (.f64 (.f64 x s) x) (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x s) x) (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64)))))
(.f64 (.f64 (neg.f64 c) x) (neg.f64 c))
(.f64 (neg.f64 c) (.f64 (neg.f64 c) x))
(.f64 (.f64 c c) x)
(.f64 (.f64 x c) c)
(.f64 x (.f64 c c))
(.f64 c (.f64 x c))
(neg.f64 (.f64 (.f64 (neg.f64 c) x) c))
(fma.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) x (.f64 (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) x))
(fma.f64 x (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (.f64 x (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) x) (.f64 (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) x))
(+.f64 (.f64 x (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64)))) (.f64 x (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64)))))

eval177.0ms (2.5%)

Memory: 5.2MiB live, 239.1MiB allocated; 26ms collecting garbage
Compiler: Compiled 32 806 to 3 553 computations (89.2% saved)

prune83.0ms (1.2%)

Memory

-25.3MiB live, 129.1MiB allocated; 28ms collecting garbage

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	1 041	28	1 069
Fresh	24	7	31
Picked	4	1	5
Done	0	0	0
Total	1 069	36	1 105

Accuracy

100.0%

Counts

1 105 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) (.f64 x c)) (.f64 (*.f64 s s) x))
	72.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s s) x)) (.f64 (*.f64 c x) c))
	79.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c s)) (.f64 (.f64 (*.f64 x x) c) s))
▶	70.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x))
	83.6%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
	71.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c s)) (.f64 (.f64 (.f64 x x) c) s))
	81.4%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c))
	75.6%	(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) (.f64 x c))) (.f64 (*.f64 (neg.f64 s) x) s))
	81.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s))
▶	97.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
	75.3%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	80.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s c) s) c) x) x))
	79.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c)))
	88.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x c) c) (.f64 s x)) s))
	95.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x s) c) (.f64 (.f64 s c) x)))
	95.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x c) s) (.f64 (.f64 s c) x)))
	61.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	59.7%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	46.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	64.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
	64.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x))
▶	71.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) c) x) x))
	63.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) c) (*.f64 x c)) x))
	74.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s))
	59.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s s)) x))
	73.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 x s)) x))
	83.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
✓	65.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	79.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 c s)) s)))
	75.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (pow (* c s) 2) x) (.f64 (.f64 (.f64 (.f64 x c) c) s) s)) x))
	58.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 c s)) x) (.f64 (sqrt.f64 (*.f64 c s)) x)) c)) s))
	51.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 (*.f64 x x) c) s) c)))
▶	22.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) s))) s))
	31.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
	58.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 c s) s) c))))
	45.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 (.f64 (*.f64 s s) x) c) x))))

Compiler

Compiled 1 630 to 1 144 computations (29.8% saved)

simplify76.0ms (1.1%)

Memory

10.1MiB live, 102.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	331
0	76	317
1	189	315
2	560	315
3	3693	315
0	8310	312

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.9%)

Memory

-14.8MiB live, 172.2MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23666000976844204	(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy	0.4342851539185446	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
accuracy	14.201419216285185	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x))
accuracy	26.697565842465373	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	0.171875	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) (*.f64 x c))
accuracy	9.501641881991167	(.f64 (.f64 s s) x)
accuracy	10.259790454610654	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) (.f64 x c)) (.f64 (*.f64 s s) x))
accuracy	26.697565842465373	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	3.970980529534908	(.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) c) x) x)
accuracy	4.213322522625245	(.f64 (.f64 (*.f64 c s) s) c)
accuracy	6.308928934192828	(.f64 (.f64 (.f64 (.f64 c s) s) c) x)
accuracy	26.697565842465373	#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy	4.797225431451782	(/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) s))) s)
accuracy	6.322934738683247	(.f64 (.f64 c c) s)
accuracy	19.40636665041325	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) s))) s))
accuracy	31.32000138700509	#s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) s)))
accuracy	0.0	(cos.f64 (+.f64 x x))
accuracy	0.0859375	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
accuracy	0.1796875	(.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x))
accuracy	3.3583779818910084	(.f64 (.f64 s c) x)

Samples

106.0ms

256×

valid

Compiler

Compiled 271 to 48 computations (82.3% saved)

Precisions

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

ival-mult: 29.0ms (37.3% of total)

ival-cos: 22.0ms (28.3% of total)

ival-div: 17.0ms (21.9% of total)

ival-pow2: 6.0ms (7.7% of total)

ival-add: 3.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.8%)

Memory

5.9MiB live, 59.8MiB allocated; 7ms collecting garbage

Counts

22 → 42

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	c	@	inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (+ x x)) (* (* (* s c) x) (* (* s c) x))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/ -2 (* (* c c) s)) (* (* (* c s) s) c) (/ (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x)) (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x) (/ (/ (/ (cos (* 2 x)) c) (* x c)) (* (* s s) x)) (/ (/ (cos (* 2 x)) c) (* x c)) (/ (cos (* 2 x)) c) (/ (/ (cos (* 2 x)) (pow (* c s) 2)) (* x x)) (/ (cos (* 2 x)) (pow (* c s) 2)) (pow (* c s) 2) (* (* s c) x) (* (* c c) s) (* (* (* (* c s) s) c) x) (* (* s s) x))
5.0ms	x	@	-inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (+ x x)) (* (* (* s c) x) (* (* s c) x))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/ -2 (* (* c c) s)) (* (* (* c s) s) c) (/ (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x)) (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x) (/ (/ (/ (cos (* 2 x)) c) (* x c)) (* (* s s) x)) (/ (/ (cos (* 2 x)) c) (* x c)) (/ (cos (* 2 x)) c) (/ (/ (cos (* 2 x)) (pow (* c s) 2)) (* x x)) (/ (cos (* 2 x)) (pow (* c s) 2)) (pow (* c s) 2) (* (* s c) x) (* (* c c) s) (* (* (* (* c s) s) c) x) (* (* s s) x))
5.0ms	c	@	-inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (+ x x)) (* (* (* s c) x) (* (* s c) x))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/ -2 (* (* c c) s)) (* (* (* c s) s) c) (/ (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x)) (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x) (/ (/ (/ (cos (* 2 x)) c) (* x c)) (* (* s s) x)) (/ (/ (cos (* 2 x)) c) (* x c)) (/ (cos (* 2 x)) c) (/ (/ (cos (* 2 x)) (pow (* c s) 2)) (* x x)) (/ (cos (* 2 x)) (pow (* c s) 2)) (pow (* c s) 2) (* (* s c) x) (* (* c c) s) (* (* (* (* c s) s) c) x) (* (* s s) x))
5.0ms	s	@	-inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (+ x x)) (* (* (* s c) x) (* (* s c) x))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/ -2 (* (* c c) s)) (* (* (* c s) s) c) (/ (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x)) (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x) (/ (/ (/ (cos (* 2 x)) c) (* x c)) (* (* s s) x)) (/ (/ (cos (* 2 x)) c) (* x c)) (/ (cos (* 2 x)) c) (/ (/ (cos (* 2 x)) (pow (* c s) 2)) (* x x)) (/ (cos (* 2 x)) (pow (* c s) 2)) (pow (* c s) 2) (* (* s c) x) (* (* c c) s) (* (* (* (* c s) s) c) x) (* (* s s) x))
5.0ms	s	@	inf	((* (* (* s c) x) (* (* s c) x)) (/ (cos (+ x x)) (* (* (* s c) x) (* (* s c) x))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/ -2 (* (* c c) s)) (* (* (* c s) s) c) (/ (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x)) (cos (* 2 x)) (* (* (* (* (* c s) s) c) x) x) (/ (/ (/ (cos (* 2 x)) c) (* x c)) (* (* s s) x)) (/ (/ (cos (* 2 x)) c) (* x c)) (/ (cos (* 2 x)) c) (/ (/ (cos (* 2 x)) (pow (* c s) 2)) (* x x)) (/ (cos (* 2 x)) (pow (* c s) 2)) (pow (* c s) 2) (* (* s c) x) (* (* c c) s) (* (* (* (* c s) s) c) x) (* (* s s) x))

simplify178.0ms (2.6%)

Memory

25.0MiB live, 152.5MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	707
1	318	629
2	1036	571
3	6645	571
0	8131	544

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

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

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

rewrite91.0ms (1.3%)

Memory

1.7MiB live, 63.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	274
0	76	248
1	262	244
0	1285	241

Stop Event

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

Counts

22 → 360

Calls

Call 1

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

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

eval49.0ms (0.7%)

Memory: -1.5MiB live, 84.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 6 199 to 934 computations (84.9% saved)

prune95.0ms (1.4%)

Memory

-30.4MiB live, 123.3MiB allocated; 22ms collecting garbage

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	261	15	276
Fresh	11	19	30
Picked	1	4	5
Done	0	1	1
Total	273	39	312

Accuracy

100.0%

Counts

312 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.6%	(/.f64 (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) (.f64 x c)) (.f64 (*.f64 x s) s))
	72.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s s) x)) (.f64 (*.f64 c x) c))
	79.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c s)) (.f64 (.f64 (*.f64 x x) c) s))
✓	70.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x))
	84.7%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c))
	63.7%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) c)) (.f64 (.f64 s s) x))
	83.6%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
	71.0%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c s)) (.f64 (.f64 (.f64 x x) c) s))
	81.4%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) c) (.f64 (pow.f64 (.f64 x s) #s(literal 2 binary64)) c))
	65.1%	(/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (.f64 (neg.f64 c) (.f64 (.f64 (.f64 s s) x) (*.f64 x c))))
	79.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 c s)))
	95.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) s) (.f64 (*.f64 s c) x)))
✓	97.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
	75.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s s) (.f64 (.f64 x c) (*.f64 x c))))
	93.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 (.f64 x c) (.f64 (*.f64 x s) c))))
	74.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 (.f64 s s) x) (*.f64 x c))))
	80.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s c) s) c) x) x))
	61.1%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	64.2%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s c) x) (.f64 (.f64 s c) x)))
	83.6%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
	46.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x c) (.f64 (.f64 (.f64 s s) x) c)))
	64.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
	64.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s s) x) c) c) x))
✓	71.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c s) s) c) x) x))
	81.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x s) c) (*.f64 c s)) x))
	64.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x c) c) (*.f64 s s)) x))
	63.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s s) c) (*.f64 x c)) x))
	74.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s))
	59.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s s)) x))
	73.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) s) (*.f64 x s)) x))
✓	65.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 (*.f64 s s) x) c)))
	79.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 c s)) s)))
	58.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 c s)) x) (.f64 (sqrt.f64 (*.f64 c s)) x)) c)) s))
	51.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 (.f64 (*.f64 x x) c) s) c)))
	22.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) c))) s))
✓	22.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) s))) s))
	31.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
	58.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) s) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 c s) s) c))))
	45.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) (.f64 (.f64 (.f64 (*.f64 s s) x) c) x))))

Compiler

Compiled 3 072 to 983 computations (68% saved)

regimes176.0ms (2.5%)

Memory

37.3MiB live, 310.9MiB allocated; 33ms collecting garbage

Counts

94 → 1

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	s
33.0ms	(pow.f64 c #s(literal 2 binary64))
28.0ms	x
25.0ms	c
21.0ms	(/.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
97.2%	1	`(pow.f64 s #s(literal 2 binary64))`
97.2%	1	`(pow.f64 c #s(literal 2 binary64))`
97.2%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.2%	1	`x`
97.2%	1	`c`
97.2%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes114.0ms (1.6%)

Memory

-32.9MiB live, 111.9MiB allocated; 14ms collecting garbage

Counts

55 → 2

Calls

Call 1

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

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

Calls

6 calls:

39.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
18.0ms	x
14.0ms	s
14.0ms	c
12.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.0%	2	`(pow.f64 s #s(literal 2 binary64))`
97.2%	2	`x`
96.0%	2	`s`
93.1%	1	`(pow.f64 c #s(literal 2 binary64))`
93.1%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
93.1%	1	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes80.0ms (1.2%)

Memory

21.7MiB live, 124.5MiB allocated; 11ms collecting garbage

Counts

52 → 2

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	c
16.0ms	s
13.0ms	x
12.0ms	(pow.f64 s #s(literal 2 binary64))
11.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.2%	4	`(/.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)))`
84.7%	1	`(pow.f64 c #s(literal 2 binary64))`
84.7%	1	`c`
94.1%	2	`(pow.f64 s #s(literal 2 binary64))`
94.1%	2	`s`
93.8%	2	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes52.0ms (0.7%)

Memory

-0.1MiB live, 91.9MiB allocated; 5ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	s
13.0ms	x
11.0ms	(pow.f64 s #s(literal 2 binary64))
10.0ms	(/.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
84.7%	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)))`
84.7%	1	`x`
84.7%	1	`(pow.f64 s #s(literal 2 binary64))`
84.7%	1	`s`

Compiler

Compiled 21 to 23 computations (-9.5% saved)

regimes33.0ms (0.5%)

Memory

13.9MiB live, 60.8MiB allocated; 1ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
83.6%	1	`(pow.f64 s #s(literal 2 binary64))`
83.6%	1	`s`
83.6%	1	`(pow.f64 c #s(literal 2 binary64))`
83.6%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
83.6%	1	`c`
83.6%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes35.0ms (0.5%)

Memory

-23.9MiB live, 34.5MiB allocated; 11ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	(pow.f64 c #s(literal 2 binary64))
5.0ms	x
5.0ms	c
5.0ms	s
5.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
83.6%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
83.6%	1	`(pow.f64 s #s(literal 2 binary64))`
83.6%	1	`x`
83.6%	1	`s`
83.6%	1	`(pow.f64 c #s(literal 2 binary64))`
83.6%	1	`c`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes12.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

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
79.2%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
79.2%	1	`x`
79.2%	1	`(pow.f64 s #s(literal 2 binary64))`
79.2%	1	`(pow.f64 c #s(literal 2 binary64))`
79.2%	1	`c`
79.2%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes11.0ms (0.2%)

Memory

-31.1MiB live, 15.5MiB allocated; 2ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

3.0ms	s
2.0ms	c
2.0ms	x
1.0ms	(pow.f64 s #s(literal 2 binary64))
1.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.8%	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)))`
75.8%	1	`x`
75.8%	1	`c`
75.8%	1	`(pow.f64 c #s(literal 2 binary64))`
75.8%	1	`(pow.f64 s #s(literal 2 binary64))`
75.8%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
22.9%	1	`(pow.f64 s #s(literal 2 binary64))`
22.9%	1	`(pow.f64 c #s(literal 2 binary64))`
22.9%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
22.9%	1	`x`
22.9%	1	`c`
22.9%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
22.8%	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)))`
22.8%	1	`(pow.f64 s #s(literal 2 binary64))`
22.8%	1	`s`
22.8%	1	`x`
22.8%	1	`c`
22.8%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch14.0ms (0.2%)

Memory

-19.0MiB live, 27.5MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.960826182775264e-43	7.37790688568345e-42

Samples

9.0ms

96×

valid

Compiler

Compiled 223 to 168 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (48.7% of total)

ival-pow2: 2.0ms (32.5% of total)

ival-div: 1.0ms (16.2% of total)

ival-cos: 1.0ms (16.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.708868600212727e+132	3.777881489643676e+132

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify42.0ms (0.6%)

Memory

2.3MiB live, 47.6MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	278
1	120	274
2	310	274
3	2223	274

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
(if (<=.f64 x #s(literal 8160232256002685/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 (.f64 x c) (.f64 (*.f64 x s) c)))))
(if (<=.f64 s #s(literal 3750000000000000083816896348038224750661903487865159835179563660837599322590878848491076316941162723128807214064109357638594454355968 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 (.f64 s s) x) (.f64 x c)))) (/.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 c s)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (pow (* c s) 2) x) (.f64 (.f64 (.f64 (.f64 x c) c) s) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) c))) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) s))) s))

Outputs
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
(if (<=.f64 x #s(literal 8160232256002685/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 (.f64 x c) (.f64 (*.f64 x s) c)))))
(if (<=.f64 s #s(literal 3750000000000000083816896348038224750661903487865159835179563660837599322590878848491076316941162723128807214064109357638594454355968 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 (.f64 s s) x) (.f64 x c)))) (/.f64 (/.f64 #s(approx (cos ( 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x s) c)) (.f64 (.f64 x s) c))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 s c) x) (.f64 (*.f64 s c) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 c s)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 #s(approx ( (pow (* c s) 2) x) (.f64 (.f64 (.f64 (.f64 x c) c) s) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c s) c))) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* (* (* x x) c) s) c)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 c c) s))) s))

derivations996.0ms (14.3%)

Memory

-0.9MiB live, 818.1MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	274
0	76	248
1	262	244
0	1285	241
0	47	245
0	80	225
1	239	193
0	1189	193
0	12	46
0	20	46
1	59	46
2	261	42
0	2563	42
0	77	438
1	215	388
2	740	358
3	4950	346
0	8048	337
0	50	222
1	144	206
2	519	188
3	3912	184
0	8363	174
0	94	491
1	265	451
2	979	425
3	7108	425
0	8396	407
0	46	254
0	78	234
1	241	214
2	1157	214
0	8513	214

Stop Event

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

Compiler

Compiled 278 to 77 computations (72.3% saved)

preprocess77.0ms (1.1%)

Memory

25.1MiB live, 116.1MiB allocated; 6ms collecting garbage

Remove

(sort c s)

(abs x)

(abs c)

(abs s)

Compiler

Compiled 716 to 250 computations (65.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze180.0ms (2.6%)

sample1.6s (23.4%)

explain162.0ms (2.3%)

preprocess176.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify126.0ms (1.8%)

localize68.0ms (1%)

series21.0ms (0.3%)

simplify153.0ms (2.2%)

rewrite122.0ms (1.7%)

eval38.0ms (0.5%)

prune19.0ms (0.3%)

simplify124.0ms (1.8%)

localize154.0ms (2.2%)

series107.0ms (1.5%)

simplify258.0ms (3.7%)

rewrite138.0ms (2%)

eval46.0ms (0.7%)

prune34.0ms (0.5%)

simplify75.0ms (1.1%)

localize164.0ms (2.3%)

series56.0ms (0.8%)

simplify348.0ms (5%)

rewrite167.0ms (2.4%)

eval177.0ms (2.5%)

prune83.0ms (1.2%)

simplify76.0ms (1.1%)

localize135.0ms (1.9%)

series58.0ms (0.8%)

simplify178.0ms (2.6%)

rewrite91.0ms (1.3%)

eval49.0ms (0.7%)

prune95.0ms (1.4%)

regimes176.0ms (2.5%)

regimes114.0ms (1.6%)

regimes80.0ms (1.2%)

regimes52.0ms (0.7%)

regimes33.0ms (0.5%)

regimes35.0ms (0.5%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

simplify42.0ms (0.6%)

derivations996.0ms (14.3%)

preprocess77.0ms (1.1%)

end0.0ms (0%)

Profiling