Metrics for mixedcos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze252.0ms (2.6%)

Memory

-22.8MiB live, 255.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (16.5%)

Memory

-105.7MiB live, 1 695.9MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 809.0ms

ival-cos: 345.0ms (42.6% of total)

ival-mult: 217.0ms (26.8% of total)

ival-pow2: 172.0ms (21.3% of total)

ival-div: 60.0ms (7.4% of total)

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

exact: 5.0ms (0.6% of total)

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

Bogosity

explain185.0ms (1.9%)

Memory

-1.7MiB live, 241.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
61	21	(-1.0855128713008603e+30 -2.2561609451329998e+57 8.554882783542683e-168)	2	(-1.4926002010659768e+95 -4.370611451101603e-279 -1.0442904624394898e+29)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
32	0	-	3	(6.903179216868295e+211 -4.897577682927926e+248 3.312915355329671e-162)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
13	29	(-1.0855128713008603e+30 -2.2561609451329998e+57 8.554882783542683e-168)	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
2	38	(-1.2866566318202652e+48 1.3990938997138475e+69 2.5220717152041946e-227)	1	(9.018154530434326e+235 3.651293121281734e-257 3.0543303394818034e+178)	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	131	(2.401138633594932e+217 0.749522136974734 9.242313026454557e+206)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	131	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	42	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	58
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	68
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	49
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	44
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	26	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	22	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	85
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	58
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	81
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	74
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	73
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	22	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	17	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/u	17	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	68
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	68
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	underflow	80
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	49
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	44
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	16	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	16	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	12	0

Confusion

	Predicted +	Predicted -
+	82	1
-	98	75

Precision

0.45555555555555555

Recall

0.9879518072289156

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	1
-	98	0	75

Precision?

0.45555555555555555

Recall?

0.9879518072289156

Freqs

test

number	freq
0	76
1	101
2	42
3	20
4	9
5	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms

512×

valid

Compiler

Compiled 194 to 78 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 14.0ms (33.8% of total)

ival-pow2: 12.0ms (29% of total)

ival-cos: 11.0ms (26.5% of total)

ival-div: 3.0ms (7.2% of total)

ival-true: 1.0ms (2.4% of total)

exact: 0.0ms (0% of total)

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

preprocess60.0ms (0.6%)

Memory

0.9MiB live, 75.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 052×	`distribute-neg-frac`
1 004×	`div-sub`
784×	`distribute-lft-neg-in`
688×	`unsub-neg`
676×	`distribute-frac-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify19.0ms (0.2%)

Memory

-3.9MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

632×	`associate-/r*`
378×	`lower-/.f32`
376×	`lower-/.f64`
330×	`lower-*.f32`
322×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

9.4MiB live, 91.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21803149403263478	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy	4.1519852364	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy	7.454481845234385	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy	12.566637825882745	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

34.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-mult: 13.0ms (52.9% of total)

ival-cos: 6.0ms (24.4% of total)

ival-pow2: 4.0ms (16.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-1.0MiB live, 37.9MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	c	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
2.0ms	x	@	0	(* x (pow s 2))
2.0ms	x	@	inf	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
2.0ms	s	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
1.0ms	x	@	0	(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))

simplify502.0ms (5.2%)

Memory

-5.1MiB live, 587.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 610×	`lower-fma.f64`
15 610×	`lower-fma.f32`
5 362×	`lower-*.f64`
5 362×	`lower-*.f32`
2 446×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1476
1	117	1476
2	383	1462
3	1957	1452
4	4755	1444
5	6901	1444
0	8120	1432

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite349.0ms (3.6%)

Memory

22.0MiB live, 634.5MiB allocated

Rules

4 664×	`lower-/.f32`
4 662×	`lower-/.f64`
4 522×	`lower-*.f32`
4 514×	`lower-*.f64`
1 754×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	20	49
1	55	49
2	217	45
3	1946	39
0	8396	39

Stop Event

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

Counts

7 → 677

Calls

Call 1

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

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

eval104.0ms (1.1%)

Memory: 30.0MiB live, 295.0MiB allocated
Compiler: Compiled 27 919 to 2 413 computations (91.4% saved)

prune122.0ms (1.3%)

Memory

-14.6MiB live, 376.4MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	811	22	833
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	812	22	834

Accuracy

99.8%

Counts

834 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.6%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) x)) (*.f64 s x)) s)
	76.1%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (*.f64 x x)))) c) c)
	71.0%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s s) (.f64 (.f64 x x) c))) c)
	70.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (.f64 c c))
	77.5%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s x))) (.f64 (.f64 c c) x))
	88.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) x)
▶	88.6%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
	70.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
▶	97.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	79.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	71.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c (.f64 s x)) s)))
	88.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c (.f64 s x)) s)) x))
▶	83.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	64.1%	(-.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) (.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 c (.f64 (.f64 c (.f64 s x)) s))) (*.f64 #s(literal 1 binary64) x)))
	88.5%	(.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (.f64 c (.f64 (.f64 c (*.f64 s x)) s))) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
▶	69.7%	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
	92.6%	(.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (.f64 (.f64 (.f64 c (*.f64 s x)) s) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)))
	39.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 x (.f64 s (.f64 c (.f64 c s)))) (.f64 x (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s)))))) (*.f64 x x)))
	49.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
	43.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 x x)))
▶	72.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))

Compiler

Compiled 992 to 564 computations (43.1% saved)

simplify216.0ms (2.3%)

Memory

-14.3MiB live, 64.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x x)
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (*.f64 x x))))
cost-diff	704	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
cost-diff	0	(+.f64 x x)
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) x)
cost-diff	384	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
cost-diff	0	#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
cost-diff	128	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(.f64 x (.f64 s (.f64 c (.f64 c s))))
cost-diff	0	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) x)
cost-diff	5504	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))

Rules

1 636×	`lower-*.f32`
1 604×	`lower-*.f64`
1 048×	`associate-/r*`
988×	`times-frac`
836×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	337
0	69	319
1	133	291
2	300	291
3	886	291
4	2311	291
5	2371	291
6	2371	291
7	2776	291
8	2807	291
9	2807	291
10	2827	291
11	2827	291
12	2833	291
13	2833	291
0	2833	291

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize161.0ms (1.7%)

Memory

0.3MiB live, 277.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.6623488999432454	(/.f64 #s(literal 1 binary64) (*.f64 c c))
accuracy	3.424840122699006	(.f64 s (.f64 s (*.f64 x x)))
accuracy	7.9054947223084175	(.f64 s (.f64 x x))
accuracy	13.213613647650632	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
accuracy	0.8903369613692721	(.f64 (.f64 c (*.f64 s x)) s)
accuracy	2.2618145248924253	(.f64 c (.f64 (.f64 c (.f64 s x)) s))
accuracy	3.9294388356592895	(.f64 c (.f64 s x))
accuracy	5.264531801935923	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
accuracy	0.21803149403263478	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
accuracy	3.665294358318472	(.f64 x (.f64 s (.f64 c (.f64 c s))))
accuracy	4.2076333524883545	(.f64 s (.f64 c (*.f64 c s)))
accuracy	5.376319635798634	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
accuracy	3.665294358318472	(.f64 x (.f64 s (.f64 c (.f64 c s))))
accuracy	4.2076333524883545	(.f64 s (.f64 c (*.f64 c s)))
accuracy	5.376319635798634	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
accuracy	12.827330777419768	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
accuracy	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.19140625	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))
accuracy	0.21803149403263478	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
accuracy	4.157113425227358	(.f64 (.f64 c s) x)

Samples

93.0ms

256×

valid

Compiler

Compiled 301 to 39 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 33.0ms (47.8% of total)

ival-div: 15.0ms (21.7% of total)

ival-cos: 12.0ms (17.4% of total)

ival-pow2: 7.0ms (10.1% of total)

ival-add: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.4%)

Memory

3.3MiB live, 40.9MiB allocated

Counts

24 → 672

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
9.0ms	s	@	inf	(* s (* c (* c s)))
4.0ms	x	@	0	(/ (cos (+ x x)) (* s (* s (* x x))))
1.0ms	x	@	-inf	(/ (/ (cos (+ x x)) x) (* c (* (* c (* s x)) s)))
0.0ms	c	@	0	(* (* c s) x)
0.0ms	s	@	inf	(* (* c s) x)

simplify551.0ms (5.7%)

Memory

-8.8MiB live, 722.4MiB allocated

Algorithm

1×	egg-herbie

Rules

21 732×	`lower-fma.f64`
21 732×	`lower-fma.f32`
5 670×	`lower-*.f64`
5 670×	`lower-*.f32`
3 276×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	7320
1	208	7320
2	599	7244
3	2334	7190
4	4910	7190
0	8168	7136

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

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

rewrite95.0ms (1%)

Memory

10.6MiB live, 128.2MiB allocated

Rules

666×	`lower-*.f32`
634×	`lower-*.f64`
594×	`lower-/.f32`
580×	`lower-/.f64`
108×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	249
0	69	235
1	220	191
0	1132	191

Stop Event

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

Counts

24 → 589

Calls

Call 1

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

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

eval244.0ms (2.5%)

Memory: 23.1MiB live, 326.5MiB allocated
Compiler: Compiled 27 041 to 1 095 computations (96% saved)

prune151.0ms (1.6%)

Memory

-7.2MiB live, 360.2MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 480	33	1 513
Fresh	14	3	17
Picked	4	1	5
Done	0	0	0
Total	1 498	37	1 535

Accuracy

99.9%

Counts

1 535 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 c (*.f64 s x))) s)
	96.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	87.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 c (.f64 s (.f64 s x))))
	89.0%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 (.f64 c (.f64 s x)) (.f64 c s)))
	48.3%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
▶	55.7%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
	74.1%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
▶	97.6%	(/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
▶	70.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
	76.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 c (.f64 s (.f64 s (*.f64 x x))))))
	83.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	95.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c (.f64 s x)) (.f64 s x)) c))
	92.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c (.f64 s x)) x) (.f64 c s)))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c (.f64 s x)) s)))
	94.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s x) (.f64 c (.f64 c (.f64 s x)))))
	79.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx (pow ( (* c s) x) 2) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	85.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
	46.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	48.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	54.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	78.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
	63.1%	(.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 s (.f64 s (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
	64.8%	#s(approx (/ (/ (cos (+ x x)) x) (* c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	79.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))))
	70.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s x))))) x))
	63.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 s (.f64 s (.f64 x x)))))
	49.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x)))
▶	67.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s (.f64 s (*.f64 x x))) c) c)))
	79.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 s x)) (*.f64 s x)) c)))
	76.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c (.f64 s x)) x) (*.f64 c s))))
	64.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 x x)) (.f64 s (*.f64 c c)))))
	79.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
	70.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c (.f64 s (*.f64 s x)))) x)))
	68.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 s (*.f64 c c))) s))))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
✓	72.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
▶	73.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))))

Compiler

Compiled 1 411 to 814 computations (42.3% saved)

simplify38.0ms (0.4%)

Memory

-21.3MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x))))
cost-diff	0	(+.f64 x x)
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)
cost-diff	384	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
cost-diff	0	(.f64 (.f64 s (.f64 s (.f64 x x))) c)
cost-diff	0	(.f64 (.f64 (.f64 s (.f64 s (*.f64 x x))) c) c)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s (.f64 s (*.f64 x x))) c) c))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s (.f64 s (*.f64 x x))) c) c)))
cost-diff	0	(.f64 (.f64 c (.f64 s (.f64 s x))) x)
cost-diff	0	(.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x)))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))))
cost-diff	0	(+.f64 x x)
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
cost-diff	5504	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))

Rules

1 382×	`associate-/r*`
1 134×	`lower-/.f32`
1 126×	`lower-/.f64`
342×	`lower-*.f32`
306×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	342
0	76	326
1	148	298
2	309	298
3	904	298
4	962	298
5	962	298
6	1312	298
7	1314	298
8	1314	298
0	1314	298

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize205.0ms (2.1%)

Memory

45.4MiB live, 352.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.21803149403263478	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
accuracy	3.4248401226990057	(.f64 s (.f64 s (*.f64 x x)))
accuracy	7.905494722308414	(.f64 s (.f64 x x))
accuracy	12.566637825882745	(.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x))))
accuracy	2.2618145248924253	(.f64 c (.f64 (.f64 c (.f64 s x)) s))
accuracy	3.9294388356592895	(.f64 c (.f64 s x))
accuracy	5.264531801935923	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
accuracy	32.16320951981278	#s(approx (cos (+ x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	3.4248401226990057	(.f64 s (.f64 s (*.f64 x x)))
accuracy	4.776070452434499	(.f64 (.f64 s (.f64 s (.f64 x x))) c)
accuracy	7.905494722308414	(.f64 s (.f64 x x))
accuracy	12.827330777419768	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s (.f64 s (*.f64 x x))) c) c)))
accuracy	2.6690458324465083	(.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))
accuracy	2.824792712526524	(.f64 (.f64 c (.f64 s (.f64 s x))) x)
accuracy	5.026887468642597	(.f64 c (.f64 s (*.f64 s x)))
accuracy	12.827330777419768	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))))
accuracy	0	(cos.f64 (+.f64 x x))
accuracy	0.19140625	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))
accuracy	0.21803149403263478	(/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
accuracy	4.157113425227358	(.f64 (.f64 c s) x)

Samples

128.0ms

256×

valid

Compiler

Compiled 296 to 45 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 42.0ms (42.8% of total)

ival-mult: 32.0ms (32.6% of total)

ival-cos: 11.0ms (11.2% of total)

ival-add: 6.0ms (6.1% of total)

ival-pow2: 6.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.2%)

Memory

-23.2MiB live, 36.3MiB allocated

Counts

24 → 720

Calls

Call 1

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

Outputs
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
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#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>

Calls

180 calls:

Time	Variable		Point	Expression
9.0ms	c	@	-inf	(pow (* (* c s) x) 2)
0.0ms	s	@	inf	(* (* c (* s (* s x))) x)
0.0ms	c	@	0	(* (* c (* s (* s x))) x)
0.0ms	x	@	inf	(+ (* x (* x -2)) 1)
0.0ms	c	@	-inf	(* (* c (* s (* s x))) x)

simplify464.0ms (4.8%)

Memory

-8.4MiB live, 910.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 608×	`lower-fma.f64`
19 608×	`lower-fma.f32`
5 346×	`lower-*.f64`
5 346×	`lower-*.f32`
2 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	7982
1	160	7982
2	459	7912
3	1852	7862
4	4686	7822
5	6892	7822
0	8015	7765

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

Calls

Call 1

Inputs
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
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rewrite293.0ms (3.1%)

Memory

22.3MiB live, 133.6MiB allocated

Rules

662×	`lower-*.f32`
626×	`lower-*.f64`
500×	`lower-/.f32`
492×	`lower-/.f64`
188×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	270
0	76	254
1	240	210
0	1096	210

Stop Event

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

Counts

24 → 500

Calls

Call 1

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

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

eval144.0ms (1.5%)

Memory: -5.7MiB live, 310.6MiB allocated
Compiler: Compiled 22 560 to 946 computations (95.8% saved)

prune161.0ms (1.7%)

Memory

-4.3MiB live, 273.6MiB allocated

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	1 301	23	1 324
Fresh	15	16	31
Picked	2	3	5
Done	0	1	1
Total	1 318	43	1 361

Accuracy

99.9%

Counts

1 361 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.7%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 c (.f64 s x))) s)
	89.0%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) (.f64 c (.f64 s x)))) x)
▶	96.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	87.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 c (.f64 s (.f64 s x))))
▶	48.3%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
	51.7%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 s (.f64 c (.f64 s (*.f64 x x))))) c)
▶	53.2%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 c (.f64 s (*.f64 s x))))
✓	55.7%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
	18.0%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* x (* x -2)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
	74.1%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* x (* x -2)) 1) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
✓	97.6%	(/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
	92.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c (.f64 s x)) x) (*.f64 c s)))
	87.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s (.f64 s x))) (*.f64 x c)))
	96.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
	83.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	95.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c (.f64 s x)) (.f64 s x)) c))
	79.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx (pow ( (* c s) x) 2) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	85.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
	50.3%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 s (.f64 (.f64 c (.f64 s (.f64 x x))) c)))
	49.2%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
	78.3%	(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
	46.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	48.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	54.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 s (.f64 (.f64 c (.f64 s (.f64 x x))) c)) #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))))
	53.2%	(.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 s x)))))
	63.1%	(.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 s (.f64 s (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
	48.6%	#s(approx (/ (/ (cos (+ x x)) x) (* c (* (* c (* s x)) s))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c s))))) (.f64 x x)))
	64.8%	#s(approx (/ (/ (cos (+ x x)) x) (* c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	67.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 c s))) (.f64 x x)))
	70.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s (.f64 s x))))) x))
▶	63.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 s (.f64 s (.f64 x x)))))
	77.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 c (*.f64 s x))) s) c)))
✓	67.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s (.f64 s (*.f64 x x))) c) c)))
	79.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) (.f64 c (*.f64 s x))) c)))
	73.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) (.f64 s x)) (*.f64 s x))))
	70.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c (.f64 s (*.f64 s x)))) x)))
	68.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 s (*.f64 c c))) s))))
	72.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
✓	72.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	67.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 (.f64 c (.f64 s (*.f64 x x))) c))))
▶	76.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x))))

Compiler

Compiled 1 653 to 941 computations (43.1% saved)

simplify66.0ms (0.7%)

Memory

5.8MiB live, 81.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) x)
cost-diff	384	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x))
cost-diff	384	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 c (.f64 s (*.f64 s x))))
cost-diff	0	(*.f64 c c)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 c c))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 s (.f64 s (.f64 x x)))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 s (.f64 s (.f64 x x))))
cost-diff	0	(.f64 (.f64 (.f64 c (.f64 s x)) s) x)
cost-diff	0	(.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x)))
cost-diff	0	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x))))
cost-diff	0	(+.f64 x x)
cost-diff	0	(cos.f64 (+.f64 x x))
cost-diff	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
cost-diff	384	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))

Rules

1 836×	`associate-/r*`
1 512×	`lower-/.f32`
1 494×	`lower-/.f64`
672×	`lower-fma.f32`
664×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	429
0	85	429
1	176	429
2	427	429
3	1169	429
4	1637	429
5	1726	429
6	1727	429
7	1727	429
8	2268	429
9	2290	429
10	2290	429
0	2290	429

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize258.0ms (2.7%)

Memory

12.6MiB live, 331.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.2618145248924253	(.f64 c (.f64 (.f64 c (.f64 s x)) s))
accuracy	3.929438835659292	(.f64 c (.f64 s x))
accuracy	5.264531801935923	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
accuracy	32.216894210347284	#s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	0.30837563666349527	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x))
accuracy	4.674654528003215	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (.f64 c (.f64 s (*.f64 s x))))
accuracy	5.026887468642597	(.f64 c (.f64 s (*.f64 s x)))
accuracy	32.16320951981278	#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	3.424840122699006	(.f64 s (.f64 s (*.f64 x x)))
accuracy	7.9054947223084175	(.f64 s (.f64 x x))
accuracy	12.827330777419768	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 s (.f64 s (.f64 x x)))))
accuracy	13.047709205475401	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 s (.f64 s (.f64 x x))))
accuracy	2.6690458324465083	(.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x))
accuracy	2.824792712526524	(.f64 (.f64 (.f64 c (.f64 s x)) s) x)
accuracy	3.929438835659292	(.f64 c (.f64 s x))
accuracy	12.827330777419768	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x))))
accuracy	0	(cos.f64 (+.f64 x x))
accuracy	0.1171875	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
accuracy	0.3921396081509559	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
accuracy	3.929438835659292	(.f64 c (.f64 s x))

Samples

158.0ms

256×

valid

Compiler

Compiled 339 to 51 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 56.0ms (45.6% of total)

ival-div: 22.0ms (17.9% of total)

ival-cos: 16.0ms (13% of total)

const: 12.0ms (9.8% of total)

ival-add: 9.0ms (7.3% of total)

ival-pow2: 7.0ms (5.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series41.0ms (0.4%)

Memory

-32.7MiB live, 48.5MiB allocated

Counts

25 → 648

Calls

Call 1

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

Outputs
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (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))>
#<alt (/ (+ (* (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))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* c (* s x)))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (neg (* -2 x))) (* c (* s x)))>
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#<alt (/ (cos (neg (* -2 x))) (* c (* s x)))>
#<alt (/ (cos (neg (* -2 x))) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
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#<alt (/ (cos (* 2 x)) (* c (* s x)))>
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#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt (/ (cos (* 2 x)) (* c (* s x)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (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))>
#<alt (/ (+ (* (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))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* (pow c 2) (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
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#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
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#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (* c (* (pow s 2) (pow x 2)))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (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))>
#<alt (/ (+ (* (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))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
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#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (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))>
#<alt (/ (+ (* (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))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 (* c x))>
#<alt (/ (+ (* -2 (/ (pow x 2) c)) (/ 1 c)) x)>
#<alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) c)) (* 2 (/ 1 c)))) (/ 1 c)) x)>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) c)) (* 2/3 (/ 1 c)))) (* 2 (/ 1 c)))) (/ 1 c)) x)>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (neg (* -2 x))) (* c x))>
#<alt (/ (cos (neg (* -2 x))) (* c x))>
#<alt (/ (cos (neg (* -2 x))) (* c x))>
#<alt (/ (cos (neg (* -2 x))) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt (/ (cos (* 2 x)) (* c x))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
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#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))>
#<alt (/ (+ (* (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))>
#<alt (/ (+ (* (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))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)>
#<alt (/ (cos (* 2 x)) x)>
#<alt (/ (cos (* 2 x)) x)>
#<alt (/ (cos (* 2 x)) x)>
#<alt (/ (cos (* 2 x)) x)>
#<alt (/ (cos (neg (* -2 x))) x)>
#<alt (/ (cos (neg (* -2 x))) x)>
#<alt (/ (cos (neg (* -2 x))) x)>
#<alt (/ (cos (neg (* -2 x))) x)>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* -4/45 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))>
#<alt (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))>
#<alt (* -4/45 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))>
#<alt (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* c (* s x))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (pow x 2))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* c (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>
#<alt (* (pow c 2) (* (pow s 2) x))>

Calls

162 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/ (cos (+ x x)) (* c (* s x)))
1.0ms	x	@	inf	(/ (cos (+ x x)) (* c (* s x)))
1.0ms	x	@	-inf	(/ (cos (+ x x)) (* c x))
1.0ms	c	@	inf	(/ (cos (+ x x)) (* c (* s x)))
1.0ms	c	@	0	(/ (cos (+ x x)) (* c (* s x)))

simplify648.0ms (6.7%)

Memory

51.8MiB live, 953.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 648×	`lower-fma.f64`
19 648×	`lower-fma.f32`
5 794×	`lower-*.f64`
5 794×	`lower-*.f32`
3 100×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	7246
1	310	7246
2	850	7168
3	2967	7104
4	5008	7104
0	8318	7021

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

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))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(/ (cos (* 2 x)) x)
(/ (cos (* 2 x)) x)
(/ (cos (* 2 x)) x)
(/ (cos (* 2 x)) x)
(/ (cos (neg (* -2 x))) x)
(/ (cos (neg (* -2 x))) x)
(/ (cos (neg (* -2 x))) x)
(/ (cos (neg (* -2 x))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -4/45 (pow x 6))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))
(* -4/45 (pow x 6))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* c (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))
(* (pow c 2) (* (pow s 2) x))

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

rewrite175.0ms (1.8%)

Memory

-28.0MiB live, 199.3MiB allocated

Rules

1 268×	`lower-*.f32`
1 240×	`lower-*.f64`
1 170×	`lower-/.f32`
1 152×	`lower-/.f64`
692×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	328
0	85	328
1	319	282
0	2040	282

Stop Event

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

Counts

25 → 485

Calls

Call 1

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

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

eval193.0ms (2%)

Memory: -3.9MiB live, 263.3MiB allocated
Compiler: Compiled 25 037 to 1 290 computations (94.8% saved)

prune142.0ms (1.5%)

Memory

5.6MiB live, 336.0MiB allocated

Pruning

47 alts after pruning (42 fresh and 5 done)

	Pruned	Kept	Total
New	1 242	17	1 259
Fresh	9	25	34
Picked	2	3	5
Done	2	2	4
Total	1 255	47	1 302

Accuracy

100.0%

Counts

1 302 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(/.f64 (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c (.f64 x c))) (.f64 x s)) s)
	89.0%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c s) (.f64 c (.f64 s x)))) x)
	97.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
✓	96.9%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x)))
	87.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (.f64 c (.f64 s (.f64 s x))))
✓	48.3%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) x) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
	51.7%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 s (.f64 c (.f64 s (*.f64 x x))))) c)
	60.7%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 c (.f64 s x))) (.f64 c (*.f64 s x)))
	71.8%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (.f64 c x)) (.f64 c (.f64 s (.f64 s x))))
	18.0%	(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* x (* x -2)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) x) (.f64 c (.f64 (.f64 c (.f64 s x)) s)))
	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))) (.f64 c (.f64 (.f64 c (*.f64 s x)) s)))
	97.6%	(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (.f64 x (.f64 c s)) (neg.f64 (.f64 x (*.f64 c s)))))
	92.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c (.f64 s x)) x) (*.f64 c s)))
	87.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s (.f64 s x))) (*.f64 x c)))
	96.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
	77.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c (.f64 c (.f64 x (*.f64 s s))))))
	83.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	95.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c (.f64 s x)) (.f64 s x)) c))
	79.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx (pow ( (* c s) x) 2) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	85.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s))))))
	46.4%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 c (.f64 c (.f64 x (.f64 s s))))))
	50.3%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 s (.f64 (.f64 c (.f64 s (.f64 x x))) c)))
	46.8%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	48.0%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	54.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 s (.f64 (.f64 c (.f64 s (.f64 x x))) c)) #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))))
	53.2%	(.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 c x)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 s x)))))
	63.1%	(.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 s (.f64 s (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
	48.6%	#s(approx (/ (/ (cos (+ x x)) (* c (* s x))) (* c (* s x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c s))))) (.f64 x x)))
	64.8%	#s(approx (/ (/ (cos (+ x x)) x) (* c (* (* c (* s x)) s))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 c (*.f64 s s)))))))
	62.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c c))) s) (*.f64 x x)))
	67.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 c s))) (.f64 x x)))
	65.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 c (.f64 x (.f64 s s))))) c))
	60.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 (.f64 x (.f64 s s)) x)))
✓	63.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) (.f64 s (.f64 s (.f64 x x)))))
	63.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) c)) (.f64 s (.f64 s (.f64 x x)))))
	64.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 s s))) (/.f64 #s(literal 1 binary64) c)) c)))
✓	67.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s (.f64 s (*.f64 x x))) c) c)))
	79.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s x) (.f64 c (*.f64 s x))) c)))
	64.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s s)) (.f64 c (*.f64 x c)))))
	78.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))))
	70.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c (.f64 s (*.f64 s x)))) x)))
	74.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 (.f64 x s) (*.f64 x c)))))
	68.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 s (*.f64 c c))) s))))
✓	72.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))))
	67.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 (.f64 c (.f64 s (*.f64 x x))) c))))
	73.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 (*.f64 x c) s) s) x))))

Compiler

Compiled 2 601 to 823 computations (68.4% saved)

regimes168.0ms (1.7%)

Memory

-10.9MiB live, 293.7MiB allocated

Counts

96 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`x`
99.6%	2	`c`
97.7%	1	`s`
99.6%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.7%	1	`(pow.f64 c #s(literal 2 binary64))`
97.7%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes45.0ms (0.5%)

Memory

28.4MiB live, 104.8MiB allocated

Counts

83 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	c
19.0ms	(/.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
99.5%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
99.4%	2	`c`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes46.0ms (0.5%)

Memory

5.5MiB live, 86.4MiB allocated

Counts

79 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	c
19.0ms	(/.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
99.4%	2	`c`
99.4%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes127.0ms (1.3%)

Memory

-6.6MiB live, 243.4MiB allocated

Counts

75 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	(pow.f64 s #s(literal 2 binary64))
21.0ms	c
21.0ms	s
20.0ms	x
18.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.9%	1	`s`
96.9%	1	`(pow.f64 c #s(literal 2 binary64))`
96.9%	1	`(pow.f64 s #s(literal 2 binary64))`
96.9%	1	`x`
96.9%	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)))`
96.9%	1	`c`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes149.0ms (1.6%)

Memory

-7.6MiB live, 184.8MiB allocated

Counts

62 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

37.0ms	(pow.f64 s #s(literal 2 binary64))
18.0ms	x
17.0ms	(pow.f64 c #s(literal 2 binary64))
16.0ms	c
16.0ms	s

Results

Accuracy	Segments	Branch
91.7%	2	`x`
87.8%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
91.7%	2	`s`
88.2%	2	`(pow.f64 c #s(literal 2 binary64))`
91.7%	2	`(pow.f64 s #s(literal 2 binary64))`
88.2%	2	`c`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes54.0ms (0.6%)

Memory

-22.8MiB live, 100.0MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms	(pow.f64 s #s(literal 2 binary64))
17.0ms	x
15.0ms	s

Results

Accuracy	Segments	Branch
89.6%	2	`x`
88.8%	2	`s`
88.5%	2	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes94.0ms (1%)

Memory

35.6MiB live, 193.3MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

17.0ms	(pow.f64 s #s(literal 2 binary64))
16.0ms	s
16.0ms	c
15.0ms	x
14.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
82.0%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
79.4%	1	`(pow.f64 c #s(literal 2 binary64))`
79.4%	1	`c`
79.4%	1	`(pow.f64 s #s(literal 2 binary64))`
79.4%	1	`s`
79.4%	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes39.0ms (0.4%)

Memory

-24.8MiB live, 13.4MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
8.0ms	c

Results

Accuracy	Segments	Branch
79.4%	1	`c`
79.4%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes32.0ms (0.3%)

Memory

-15.9MiB live, 32.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

15.0ms	(/.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)))
3.0ms	x
3.0ms	c
3.0ms	s
3.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.1%	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)))`
78.0%	2	`x`
76.1%	1	`s`
76.1%	1	`(pow.f64 s #s(literal 2 binary64))`
76.1%	1	`(pow.f64 c #s(literal 2 binary64))`
76.1%	1	`c`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	c

Results

Accuracy	Segments	Branch
76.1%	1	`c`
76.1%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

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(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))))

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

Calls

6 calls:

1.0ms	s
1.0ms	x
1.0ms	(pow.f64 s #s(literal 2 binary64))
1.0ms	c
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
73.0%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
73.0%	1	`x`
73.0%	1	`s`
73.0%	1	`(pow.f64 c #s(literal 2 binary64))`
73.0%	1	`(pow.f64 s #s(literal 2 binary64))`
73.0%	1	`c`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch18.0ms (0.2%)

Memory

-16.9MiB live, 21.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0443654453021421e-218	6.948425427919041e-217

Samples

11.0ms

112×

valid

Compiler

Compiled 302 to 158 computations (47.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (38.7% of total)

ival-mult: 2.0ms (25.8% of total)

ival-pow2: 2.0ms (25.8% of total)

ival-div: 1.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch12.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.650149416264252e-219	1.0443654453021421e-218

Samples

8.0ms

80×

valid

Compiler

Compiled 232 to 128 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 2.0ms (36.7% of total)

ival-mult: 2.0ms (36.7% of total)

ival-pow2: 1.0ms (18.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.60514740133776e+291	1.2639051245782166e+299

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch23.0ms (0.2%)

Memory

-11.6MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.1171969264753536e-45	8.47883356302862e-35

Samples

15.0ms

160×

valid

Compiler

Compiled 412 to 228 computations (44.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.1% of total)

ival-div: 3.0ms (27.8% of total)

ival-pow2: 3.0ms (27.8% of total)

ival-cos: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.666408283013746e-145	-0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.5762141391133385e-119	2.0377322009514547e-119

Samples

4.0ms

48×

valid

Compiler

Compiled 130 to 84 computations (35.4% saved)

Precisions

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

ival-mult: 1.0ms (39.1% of total)

ival-pow2: 1.0ms (39.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify75.0ms (0.8%)

Memory

-16.3MiB live, 65.7MiB allocated

Algorithm

1×	egg-herbie

Rules

590×	`distribute-lft-neg-in_binary64`
344×	`neg-mul-1_binary64`
336×	`neg-sub0_binary64`
306×	`cancel-sign-sub_binary64`
260×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	495
1	138	495
2	165	491
3	198	491
4	250	491
5	327	491
6	482	491
7	808	491
8	1193	491
9	1470	491
10	1698	491
11	1823	491
12	1874	491
13	1897	491
14	1904	491
15	1905	491
16	1905	491

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 c #s(literal 1040187121841475/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (.f64 x (.f64 c s)) (neg.f64 (.f64 x (*.f64 c s))))))
(if (<=.f64 c #s(literal 8266848337882815/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (.f64 x (.f64 c s)) (neg.f64 (.f64 x (.f64 c s))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x)))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c (.f64 c (.f64 x (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))))
(if (<=.f64 x #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5623642243178995/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (.f64 c s))))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
(if (<=.f64 x #s(literal 5814709794364855/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (.f64 s x)) s) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 (.f64 x s) (*.f64 x c))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))))

Outputs
(if (<=.f64 c #s(literal 1040187121841475/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
(if (<=.f64 c #s(literal 1040187121841475/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 c (.f64 s x))) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (.f64 x (.f64 c s)) (neg.f64 (.f64 x (*.f64 c s))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 x s))) (.f64 c (.f64 x s))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))))
(if (<=.f64 c #s(literal 8266848337882815/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (.f64 x (.f64 c s)) (neg.f64 (.f64 x (.f64 c s))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x)))))
(if (<=.f64 c #s(literal 8266848337882815/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s)))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c (.f64 c (.f64 x (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c (.f64 c (.f64 x (.f64 s s)))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s))))))
(if (<=.f64 x #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (.f64 s x))))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))))
(if (<=.f64 x #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 x s)) (.f64 c (.f64 x s))))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5623642243178995/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (.f64 c s))))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 s #s(literal 2 binary64)))))) #s(literal -5623642243178995/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 x (.f64 x (.f64 s (.f64 c (.f64 c s))))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 s x)) (.f64 c (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 x s)) (.f64 c (*.f64 x s)))))
(if (<=.f64 x #s(literal 5814709794364855/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (.f64 s x)) s) x)))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 (.f64 x s) (*.f64 x c))))))
(if (<=.f64 x #s(literal 5814709794364855/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 x (.f64 s (.f64 c (.f64 x s))))))) #s(approx (/ (cos ( 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 c s) (.f64 (.f64 x s) (*.f64 c x))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 (.f64 c (*.f64 s x)) s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 x (.f64 s (.f64 c (*.f64 x s)))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 c (.f64 s (*.f64 s x))) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 x (.f64 c (.f64 s (*.f64 x s)))))))

soundness926.0ms (9.6%)

Memory

4.6MiB live, 601.9MiB allocated

Rules

21 732×	`lower-fma.f64`
21 732×	`lower-fma.f32`
15 610×	`lower-fma.f64`
15 610×	`lower-fma.f32`
5 670×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	7320
1	208	7320
2	599	7244
3	2334	7190
4	4910	7190
0	8168	7136
0	42	249
0	69	235
1	220	191
0	1132	191
0	50	1476
1	117	1476
2	383	1462
3	1957	1452
4	4755	1444
5	6901	1444
0	8120	1432
0	12	49
0	20	49
1	55	49
2	217	45
3	1946	39
0	8396	39
0	51	328
0	85	328
1	319	282
0	2040	282
0	47	270
0	76	254
1	240	210
0	1096	210

Stop Event

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

Compiler

Compiled 1 878 to 718 computations (61.8% saved)

preprocess220.0ms (2.3%)

Memory: 5.6MiB live, 207.8MiB allocated
Remove: (abs x)
Compiler: Compiled 3 448 to 1 298 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze252.0ms (2.6%)

sample1.6s (16.5%)

explain185.0ms (1.9%)

preprocess60.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.2%)

localize48.0ms (0.5%)

series18.0ms (0.2%)

simplify502.0ms (5.2%)

rewrite349.0ms (3.6%)

eval104.0ms (1.1%)

prune122.0ms (1.3%)

simplify216.0ms (2.3%)

localize161.0ms (1.7%)

series41.0ms (0.4%)

simplify551.0ms (5.7%)

rewrite95.0ms (1%)

eval244.0ms (2.5%)

prune151.0ms (1.6%)

simplify38.0ms (0.4%)

localize205.0ms (2.1%)

series24.0ms (0.2%)

simplify464.0ms (4.8%)

rewrite293.0ms (3.1%)

eval144.0ms (1.5%)

prune161.0ms (1.7%)

simplify66.0ms (0.7%)

localize258.0ms (2.7%)

series41.0ms (0.4%)

simplify648.0ms (6.7%)

rewrite175.0ms (1.8%)

eval193.0ms (2%)

prune142.0ms (1.5%)

regimes168.0ms (1.7%)

regimes45.0ms (0.5%)

regimes46.0ms (0.5%)

regimes127.0ms (1.3%)

regimes149.0ms (1.6%)

regimes54.0ms (0.6%)

regimes94.0ms (1%)

regimes39.0ms (0.4%)

regimes32.0ms (0.3%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch23.0ms (0.2%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

simplify75.0ms (0.8%)

soundness926.0ms (9.6%)

preprocess220.0ms (2.3%)

end0.0ms (0%)

Profiling