Metrics for mixedcos

analyze129.0ms (1.2%)

Memory

-2.0MiB live, 230.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.7s (16%)

Memory

-118.8MiB live, 2 034.8MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

ival-cos: 369.0ms (35.8% of total)

ival-pow2: 317.0ms (30.7% of total)

ival-mult: 198.0ms (19.2% of total)

ival-div: 133.0ms (12.9% of total)

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

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess70.0ms (0.6%)

Memory

-2.4MiB live, 100.5MiB allocated

Algorithm

2×	egg-herbie

Rules

1 038×	`distribute-neg-frac`
1 020×	`div-sub`
788×	`distribute-lft-neg-in`
688×	`unsub-neg`
678×	`distribute-frac-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	172
1	139	169
2	480	163
3	2305	163
4	6002	163
0	12	16
1	23	16
2	56	16
3	193	16
4	498	16
5	717	16
6	738	16
0	738	16

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)))
(/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c))))
(/ (cos (* 2 (neg x))) (* (pow c 2) (* (* (neg x) (pow s 2)) (neg x))))
(/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c))))
(/ (cos (* 2 x)) (* (pow (neg c) 2) (* (* x (pow s 2)) x)))
(/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c))))
(/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow (neg s) 2)) x)))
(/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c))))
(neg (/ (cos (* 2 (neg x))) (* (pow c 2) (* (* (neg x) (pow s 2)) (neg x)))))
(/ (cos (* 2 x)) (* x (* x (* c (* s (* c (neg s)))))))
(neg (/ (cos (* 2 x)) (* (pow (neg c) 2) (* (* x (pow s 2)) x))))
(/ (cos (* 2 x)) (* x (* x (* c (* s (* c (neg s)))))))
(neg (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow (neg s) 2)) x))))
(/ (cos (* 2 x)) (* x (* x (* c (* s (* c (neg s)))))))
(/ (cos (* 2 c)) (* (pow x 2) (* (* c (pow s 2)) c)))
(/ (/ (cos (* 2 c)) (* x x)) (* (* c c) (* s s)))
(/ (cos (* 2 s)) (* (pow c 2) (* (* s (pow x 2)) s)))
(/ (cos (* 2 s)) (* (* x (* s s)) (* x (* c c))))
(/ (cos (* 2 x)) (* (pow s 2) (* (* x (pow c 2)) x)))
(/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c))))

Symmetry

(abs x)

(abs c)

(abs s)

(sort c s)

explain153.0ms (1.4%)

Memory

6.7MiB live, 356.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
61	0	-	2	(9.976657308289226e+236 1.245597721956336e-160 1.212898956661669e-118)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
37	0	-	0	-	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
20	0	-	1	(7.251096597768467e+156 1.623145331965603e-275 2.9371857674225762e-238)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	125	(2.1059252583479428e+23 6.936309676562935e-94 9.349072405924276e+269)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	125	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	34	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	104
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	106
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	114
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	132
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	32	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	19	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	14	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	11	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	5	0
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	oflow-rescue	1	0
↳	`(*.f64 #s(literal 2 binary64) x)`	overflow	1

Confusion

	Predicted +	Predicted -
+	95	0
-	89	72

Precision

0.5163043478260869

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	95	0	0
-	89	0	72

Precision?

0.5163043478260869

Recall?

1.0

Freqs

test

number	freq
0	72
1	128
2	55
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 154 to 52 computations (66.2% saved)

Precisions

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

ival-pow2: 15.0ms (36.3% of total)

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

ival-mult: 11.0ms (26.6% of total)

ival-div: 3.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB 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
▶	63.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify16.0ms (0.2%)

Memory

-11.3MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

640×	`associate-/r*`
378×	`/-lowering-/.f32`
378×	`/-lowering-/.f64`
330×	`-lowering-.f32`
330×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	23	56
2	56	56
3	193	56
4	498	56
5	717	56
6	738	56
0	738	56

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize181.0ms (1.7%)

Memory

-8.3MiB live, 103.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	92.8%	(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
✓	accuracy	86.5%	(*.f64 x (pow.f64 s #s(literal 2 binary64)))
✓	accuracy	78.4%	(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (36.8% of total)

ival-cos: 5.0ms (26.3% of total)

ival-pow2: 4.0ms (21% of total)

ival-div: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

7 → 156

Calls

Call 1

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

Outputs
#s(alt (pow c 2) (taylor 0 c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (pow c 2) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor 0 s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow s 2) (taylor -inf s) (#s(alt (pow s 2) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (patch (/.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))) #<representation binary64>) () ())) ())
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#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf x) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor -inf s) (#s(alt (* x (pow s 2)) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf s) (#s(alt (* (* x (pow s 2)) x) (patch (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	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)))

rewrite341.0ms (3.1%)

Memory

-0.5MiB live, 597.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 664×	`/-lowering-/.f32`
4 664×	`/-lowering-/.f64`
4 522×	`-lowering-.f32`
4 522×	`-lowering-.f64`
1 754×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	47	49
2	209	45
3	1937	39
0	8390	39

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 677

Calls

Call 1

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

simplify421.0ms (3.9%)

Memory

-14.3MiB live, 594.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 610×	`accelerator-lowering-fma.f32`
15 610×	`accelerator-lowering-fma.f64`
5 362×	`-lowering-.f32`
5 362×	`-lowering-.f64`
2 446×	`/-lowering-/.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)))

eval105.0ms (1%)

Memory: 9.1MiB live, 210.6MiB allocated
Compiler: Compiled 27 763 to 2 412 computations (91.3% saved)

prune155.0ms (1.4%)

Memory

-1.1MiB live, 348.4MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	815	18	833
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	816	18	834

Accuracy

98.3%

Counts

834 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (.f64 s x)))) x)
	71.4%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) x)) (.f64 s (.f64 s x)))
▶	64.1%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (.f64 c c))
	64.0%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) (.f64 s (.f64 s (.f64 x x))))
	45.0%	(/.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))
	64.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s s) (.f64 x (.f64 (*.f64 c c) x))))
▶	96.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
▶	76.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	73.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s (.f64 s x)) (neg.f64 x)) (.f64 c (neg.f64 c))))
	64.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) (.f64 (.f64 x x) c)) c))
	72.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) (.f64 s (.f64 s x))) x))
	71.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) x) (.f64 s (.f64 s x))))
▶	90.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c s) (.f64 s x))))
	83.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (.f64 s (.f64 c (.f64 c s))))))
▶	71.2%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))
	72.8%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c c) (.f64 s (*.f64 s x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
	64.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s s) (.f64 x (.f64 (.f64 c c) x)))) (cos.f64 (+.f64 x x)))
	90.0%	(.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (.f64 (.f64 (.f64 c s) (*.f64 s x)) (/.f64 x (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)))

Compiler

Compiled 706 to 438 computations (38% saved)

simplify27.0ms (0.3%)

Memory

-7.5MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	384	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (.f64 c c))
✓	cost-diff	0	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x)))
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c s) (.f64 s x))))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 s (.f64 c (*.f64 c s)))
✓	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	(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

1 416×	`associate-/r*`
756×	`/-lowering-/.f32`
756×	`/-lowering-/.f64`
330×	`-lowering-.f32`
330×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	234
1	93	230
2	260	230
3	580	230
4	1038	230
5	1038	230
6	1073	230
0	1073	230

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize330.0ms (3%)

Memory

22.1MiB live, 138.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(cos.f64 (+.f64 x x))
✓	accuracy	91.0%	(.f64 s (.f64 s (*.f64 x x)))
✓	accuracy	89.3%	(.f64 s (.f64 x x))
✓	accuracy	77.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 s (.f64 x x)))) (.f64 c c))
✓	accuracy	99.6%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	94.2%	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
✓	accuracy	88.8%	(.f64 (.f64 c c) x)
✓	accuracy	86.2%	(.f64 (.f64 (.f64 c c) x) (.f64 s x))
✓	accuracy	99.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 (.f64 c s) (.f64 s x))))
✓	accuracy	99.6%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	96.3%	(.f64 (.f64 c s) (*.f64 s x))
✓	accuracy	93.5%	(.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x)))
✓	accuracy	99.7%	(.f64 c (.f64 c s))
✓	accuracy	95.1%	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	accuracy	94.9%	(.f64 s (.f64 c (*.f64 c s)))
✓	accuracy	91.2%	(.f64 x (.f64 s (.f64 c (.f64 c s))))
✓	accuracy	99.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))
✓	accuracy	99.6%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	92.5%	(.f64 (.f64 c s) x)

Samples

271.0ms

256×

valid

Compiler

Compiled 260 to 35 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-div: 197.0ms (83.8% of total)

ival-mult: 23.0ms (9.8% of total)

ival-cos: 11.0ms (4.7% of total)

ival-pow2: 2.0ms (0.9% of total)

ival-add: 1.0ms (0.4% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.6%)

Memory

-34.3MiB live, 99.7MiB allocated

Counts

23 → 660

Calls

Call 1

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

Outputs
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf s) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf x) (#s(alt (pow (* (* c s) x) 2) (patch (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (* 2 x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/ (cos (* 2 x)) (pow (* (* c s) x) 2)) (patch (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor -inf x) (#s(alt (* s (* s (* x x))) (patch (.f64 s (.f64 s (*.f64 x x))) #<representation binary64>) () ())) ())

Calls

165 calls:

Time	Variable		Point	Expression
12.0ms	c	@	inf	(* c (* c s))
4.0ms	x	@	0	(/ (cos (+ x x)) (* s (* s (* x x))))
1.0ms	x	@	-inf	(/ (/ (cos (+ x x)) (* s (* s (* x x)))) (* c c))
0.0ms	x	@	inf	(* (* c s) (* s x))
0.0ms	c	@	0	(* (* (* c c) x) (* s x))

rewrite73.0ms (0.7%)

Memory

-3.3MiB live, 154.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

576×	`-lowering-.f32`
576×	`-lowering-.f64`
458×	`/-lowering-/.f32`
458×	`/-lowering-/.f64`
114×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	174
1	156	164
0	889	164

Stop Event

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

Counts

23 → 588

Calls

Call 1

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

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

simplify578.0ms (5.3%)

Memory

68.6MiB live, 1 078.2MiB allocated

Algorithm

1×	egg-herbie

Rules

21 732×	`accelerator-lowering-fma.f32`
21 732×	`accelerator-lowering-fma.f64`
5 688×	`-lowering-.f32`
5 688×	`-lowering-.f64`
3 174×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	6972
1	209	6972
2	610	6910
3	2296	6866
4	4845	6866
0	8099	6824

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

Inputs
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1
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1
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Outputs
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(/ (+ (* (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))
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(.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)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) (* s (pow x 2)))
(.f64 x (.f64 x (.f64 (.f64 c c) s)))
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) x)
(* (pow c 2) x)
(.f64 (.f64 c c) 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)))

eval216.0ms (2%)

Memory: -32.4MiB live, 362.1MiB allocated
Compiler: Compiled 22 112 to 875 computations (96% saved)

prune173.0ms (1.6%)

Memory

-16.8MiB live, 450.2MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	1 306	30	1 336
Fresh	10	3	13
Picked	5	0	5
Done	0	0	0
Total	1 321	33	1 354

Accuracy

100.0%

Counts

1 354 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
	53.8%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	57.4%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 c s) (.f64 s x))))
	75.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 s x)) (.f64 c (*.f64 c s)))
	76.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s x) (.f64 s x))) (.f64 c c))
▶	97.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	77.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c x)))) (.f64 s x))
	68.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x)))
	75.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c x)) (.f64 s (.f64 s (.f64 c x))))
	96.8%	(/.f64 (+.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))) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
▶	37.9%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s s))))) (.f64 x x))
	45.0%	(/.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))
	65.9%	(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 #s(literal 1 binary64) (.f64 c c))) (.f64 s (.f64 x x)))
	76.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s))
	90.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x))))
	97.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
	74.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 c (.f64 c s))) s))
	93.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s (.f64 c x)) (.f64 c x)) s))
▶	83.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (.f64 s (.f64 c (.f64 c s))))))
	84.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 (.f64 s (.f64 s x)) (.f64 c x))))
	92.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 (.f64 s x) (.f64 s (.f64 c x)))))
	79.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64)))
▶	75.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x))))
	78.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
	77.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 s (*.f64 c x)))))
	70.1%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 (.f64 s x) (*.f64 c c)) s)))
	65.9%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 c c) (.f64 s (*.f64 s x)))))
	71.6%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))
	75.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 s (.f64 (.f64 c (*.f64 c s)) x))))
	69.0%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c (.f64 s (*.f64 x x))))))
▶	76.7%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (*.f64 s x)))))
	97.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x)))) (cos.f64 (+.f64 x x)))
	64.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s s) (.f64 x (.f64 (.f64 c c) x)))) (cos.f64 (+.f64 x x)))

Compiler

Compiled 1 208 to 724 computations (40.1% saved)

simplify473.0ms (4.4%)

Memory

-0.9MiB live, 474.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.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)) (.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 x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (*.f64 s s)))))
✓	cost-diff	384	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s s))))) (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 c s) (*.f64 s x))
✓	cost-diff	0	(*.f64 x c)
✓	cost-diff	0	(.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x))))
✓	cost-diff	0	(.f64 (.f64 s x) (*.f64 s x))
✓	cost-diff	0	(.f64 c (.f64 (.f64 s x) (.f64 s x)))
✓	cost-diff	0	(.f64 c (.f64 c (.f64 (.f64 s x) (*.f64 s x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (*.f64 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 s (.f64 c x)))
✓	cost-diff	384	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))

Rules

6 592×	`accelerator-lowering-fma.f32`
6 592×	`accelerator-lowering-fma.f64`
6 442×	`-lowering-.f32`
6 442×	`-lowering-.f64`
4 934×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	274
1	113	270
2	331	270
3	1178	270
4	3714	270
5	5585	270
6	5615	270
7	5618	270
8	5618	270
9	5971	270
0	9867	267

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x)))
(/ (cos (+ x x)) (* s (* c x)))
(cos (+ x x))
(+ x x)
x
(* s (* c x))
s
(* c x)
c
(/ 1 (* c (* c (* (* s x) (* s x)))))
1
(* c (* c (* (* s x) (* s x))))
c
(* c (* (* s x) (* s x)))
(* (* s x) (* s x))
(* s x)
s
x
(/ 1 (* (* x c) (* (* c s) (* s x))))
1
(* (* x c) (* (* c s) (* s x)))
(* x c)
x
c
(* (* c s) (* s x))
(* c s)
s
(* s x)
(/ (* (+ (* (* x x) -2) 1) (/ 1 (* c (* c (* s s))))) (* x x))
(* (+ (* (* x x) -2) 1) (/ 1 (* c (* c (* s s)))))
(+ (* (* x x) -2) 1)
(* x x)
x
-2
1
(/ 1 (* c (* c (* s s))))
(* c (* c (* s s)))
c
(* c (* s s))
(* s s)
s
(/ (cos (* 2 x)) (* x (* x (* s (* c (* c s))))))
(cos (* 2 x))
(* 2 x)
2
x
(* x (* x (* s (* c (* c s)))))
(* x (* s (* c (* c s))))
(* s (* c (* c s)))
s
(* c (* c s))
c
(* c s)

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

localize121.0ms (1.1%)

Memory

15.0MiB live, 211.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(cos.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	95.1%	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	accuracy	94.9%	(.f64 s (.f64 c (*.f64 c s)))
✓	accuracy	91.2%	(.f64 x (.f64 s (.f64 c (.f64 c s))))
✓	accuracy	91.4%	(.f64 c (.f64 c (*.f64 s s)))
✓	accuracy	87.1%	(.f64 c (.f64 s s))
✓	accuracy	85.7%	(.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (*.f64 s s)))))
✓	accuracy	68.7%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 s s))))) (.f64 x x))
✓	accuracy	100.0%	(*.f64 c s)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x))))
✓	accuracy	96.3%	(.f64 (.f64 c s) (*.f64 s x))
✓	accuracy	93.5%	(.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (*.f64 s x)))))
✓	accuracy	99.7%	(.f64 (.f64 s x) (*.f64 s x))
✓	accuracy	94.8%	(.f64 c (.f64 c (.f64 (.f64 s x) (*.f64 s x))))
✓	accuracy	92.2%	(.f64 c (.f64 (.f64 s x) (.f64 s x)))
✓	accuracy	99.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
✓	accuracy	99.6%	(cos.f64 (+.f64 x x))
✓	accuracy	99.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x)))
✓	accuracy	91.8%	(.f64 s (.f64 c x))

Samples

74.0ms

256×

valid

Compiler

Compiled 273 to 40 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 27.0ms (50.3% of total)

ival-div: 12.0ms (22.3% of total)

ival-cos: 12.0ms (22.3% of total)

ival-add: 3.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series85.0ms (0.8%)

Memory

9.1MiB live, 84.7MiB allocated

Counts

26 → 720

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf x) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf s) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x))) (patch (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (* s x))) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* c (* s x))) (taylor -inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* c (* s x))) (taylor -inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* c (* s x))) (taylor -inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (neg (* -2 x))) (* c (* s x))) (taylor -inf x) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor 0 s) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor 0 s) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor 0 s) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor 0 s) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor inf s) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* c (* s x))) (taylor inf s) (#s(alt (/ (cos (+ x x)) (* s (* c x))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) #<representation binary64>) () ())) ())
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#s(alt (* c (pow s 2)) (taylor inf c) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor inf c) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf c) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf c) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf c) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf c) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor 0 s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor 0 s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor 0 s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor 0 s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* c (pow s 2)) (taylor -inf s) (#s(alt (* c (* s s)) (patch (.f64 c (.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* c (* c (* s s))) (patch (.f64 c (.f64 c (*.f64 s s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf s) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor 0 c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (pow s 2)) (taylor -inf c) (#s(alt (* s (* c (* c s))) (patch (.f64 s (.f64 c (*.f64 c s))) #<representation binary64>) () ())) ())

Calls

180 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(/ (* (+ (* (* x x) -2) 1) (/ 1 (* c (* c (* s s))))) (* x x))
2.0ms	c	@	-inf	(* c (* (* s x) (* s x)))
1.0ms	x	@	-inf	(/ (cos (+ x x)) (* s (* c x)))
1.0ms	x	@	inf	(/ (* (+ (* (* x x) -2) 1) (/ 1 (* c (* c (* s s))))) (* x x))
1.0ms	c	@	0	(/ (* (+ (* (* x x) -2) 1) (/ 1 (* c (* c (* s s))))) (* x x))

rewrite86.0ms (0.8%)

Memory

1.2MiB live, 117.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

842×	`-lowering-.f32`
842×	`-lowering-.f64`
698×	`/-lowering-/.f32`
698×	`/-lowering-/.f64`
224×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	207
1	187	177
0	1220	174

Stop Event

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

Counts

26 → 589

Calls

Call 1

Inputs
(/ (/ (cos (+ x x)) (* s (* c x))) (* s (* c x)))
(/ (cos (+ x x)) (* s (* c x)))
(cos (+ x x))
(+ x x)
(/ 1 (* c (* c (* (* s x) (* s x)))))
(* c (* c (* (* s x) (* s x))))
(* c (* (* s x) (* s x)))
(* (* s x) (* s x))
(/ 1 (* (* x c) (* (* c s) (* s x))))
(* (* x c) (* (* c s) (* s x)))
(* x c)
(* (* c s) (* s x))
(/ (* (+ (* (* x x) -2) 1) (/ 1 (* c (* c (* s s))))) (* x x))
(* (+ (* (* x x) -2) 1) (/ 1 (* c (* c (* s s)))))
(+ (* (* x x) -2) 1)
(* x x)
(* 2 x)
(/ (cos (* 2 x)) (* x (* x (* s (* c (* c s))))))
(cos (* 2 x))
(* x (* x (* s (* c (* c s)))))
(* s (* c x))
(* c s)
(* c (* s s))
(* c (* c (* s s)))
(* x (* s (* c (* c s))))
(* s (* c (* c s)))

Outputs
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 x s) (.f64 (.f64 s (.f64 c c)) x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 x s) (.f64 (.f64 s (.f64 c c)) x))))
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s c))) (.f64 (.f64 x c) (neg.f64 s))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s c)))) (.f64 x (.f64 s c))))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s c))) (.f64 x (.f64 s c)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s c))) (neg.f64 (.f64 (.f64 x c) (neg.f64 s))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x)) (cos.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x)) (cos.f64 (+.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 s (.f64 (.f64 s (.f64 c c)) x)) (/.f64 (cos.f64 (+.f64 x x)) x)))
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(.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 (.f64 s (.f64 c c)) x))))
(.f64 (cos.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c)))))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (*.f64 s c))))
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(.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 (.f64 s (*.f64 c c)) x))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) s) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x c)))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) s))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s c)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) x))
(+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x))))
(/.f64 (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x))) #s(literal -1 binary64))
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(.f64 x (.f64 s (.f64 (.f64 s (*.f64 c c)) x)))
(.f64 x (/.f64 (.f64 s (.f64 (.f64 s (*.f64 c c)) x)) #s(literal 1 binary64)))
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(.f64 (.f64 x c) (/.f64 (.f64 c (.f64 x (*.f64 s s))) #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c)))
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(.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x))
(.f64 (.f64 x (.f64 x (.f64 s s))) (*.f64 c c))
(.f64 (.f64 s (.f64 (.f64 x (*.f64 x s)) c)) c)
(.f64 (.f64 s (.f64 (.f64 x (*.f64 x s)) c)) (/.f64 c #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x s) (.f64 (.f64 s (.f64 c c)) x)) #s(literal 1 binary64))
(.f64 (.f64 s c) (.f64 x (.f64 x (*.f64 s c))))
(.f64 (.f64 s c) (.f64 (.f64 x s) (*.f64 x c)))
(.f64 (.f64 c (.f64 x (.f64 s s))) (*.f64 x c))
(.f64 (.f64 c (.f64 x (.f64 s s))) (/.f64 (*.f64 x c) #s(literal 1 binary64)))
(.f64 (.f64 x x) (.f64 s (.f64 s (*.f64 c c))))
(.f64 (.f64 s s) (.f64 (.f64 x c) (*.f64 x c)))
(.f64 (.f64 s (.f64 s c)) (.f64 x (*.f64 x c)))
(.f64 (.f64 s (.f64 s (.f64 c c))) (*.f64 x x))
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(.f64 (.f64 (.f64 x (.f64 s (*.f64 c c))) x) s)
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(*.f64 s c)
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(.f64 (.f64 s (*.f64 s c)) c)
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(.f64 (.f64 s (*.f64 c c)) s)
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simplify674.0ms (6.2%)

Memory

-12.6MiB live, 947.7MiB allocated

Algorithm

1×	egg-herbie

Rules

27 518×	`accelerator-lowering-fma.f32`
27 518×	`accelerator-lowering-fma.f64`
6 850×	`-lowering-.f32`
6 850×	`-lowering-.f64`
3 292×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	7718
1	229	7718
2	698	7684
3	2663	7264
4	4853	6984
0	8776	6914

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

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

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

eval150.0ms (1.4%)

Memory: 19.5MiB live, 362.1MiB allocated
Compiler: Compiled 23 744 to 1 230 computations (94.8% saved)

prune276.0ms (2.5%)

Memory

4.4MiB live, 452.3MiB allocated

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1 368	25	1 393
Fresh	15	13	28
Picked	2	3	5
Done	0	0	0
Total	1 385	41	1 426

Accuracy

100.0%

Counts

1 426 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
▶	53.8%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
	56.2%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x s) (.f64 (.f64 s (.f64 c c)) x)))
	57.4%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x c) (.f64 (.f64 c s) (.f64 s x))))
	38.3%	(/.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 s (.f64 c c))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 x x))
	42.6%	(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 s c)) (neg.f64 c))) (neg.f64 (*.f64 x x)))
	57.9%	(/.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 s (.f64 c x))) (.f64 s (*.f64 c x)))
	60.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x c)) c) (.f64 x (*.f64 s s)))
✓	97.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	65.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s)))) (.f64 x x))
	78.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 s (.f64 c x)))
	68.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x)))
	75.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c x)) (.f64 s (.f64 s (.f64 c x))))
	69.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 s (.f64 (.f64 s (.f64 c c)) x)))
	57.2%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 s (.f64 c (.f64 c s))))
	42.6%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 s c)) c))) (.f64 x x))
	45.0%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x))
	48.6%	(/.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 s (*.f64 c c))))) x)
	78.6%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x s) (.f64 (.f64 s (*.f64 c c)) x)))
	90.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x))))
▶	97.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
▶	83.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))
	91.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x (.f64 s c)) (.f64 x c)) s))
	74.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 c (.f64 c s))) s))
	75.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x c) (.f64 c (.f64 x (.f64 s s)))))
	78.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 s (.f64 s c)) (.f64 x (.f64 x c))))
	92.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 c (.f64 (.f64 s x) (.f64 s (.f64 c x)))))
▶	67.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) (.f64 s (*.f64 s c))) x))
	71.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) (.f64 x s)) (*.f64 x s)))
	79.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	62.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c)))
✓	75.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x))))
	76.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 (.f64 x (*.f64 x s)) c)) c))
	78.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
	77.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 s (*.f64 c x)))))
	71.6%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))
	63.3%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s (.f64 s c)) (*.f64 x x))))
✓	76.7%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (*.f64 s x)))))
▶	27.5%	(/.f64 #s(literal -2 binary64) (.f64 s (.f64 c (*.f64 c s))))
	78.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 (.f64 s (.f64 c c)) x))) (cos.f64 (+.f64 x x)))
	97.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x)))) (cos.f64 (+.f64 x x)))

Compiler

Compiled 1 499 to 876 computations (41.6% saved)

simplify42.0ms (0.4%)

Memory

-5.9MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	cost-diff	(+.f64 x x)
✓	cost-diff	(cos.f64 (+.f64 x x))
✓	cost-diff	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s))))))
✓	cost-diff	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
✓	cost-diff	(*.f64 x c)
✓	cost-diff	(.f64 (.f64 x c) (.f64 s (.f64 s c)))
✓	cost-diff	(.f64 (.f64 (.f64 x c) (.f64 s (*.f64 s c))) x)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) (.f64 s (*.f64 s c))) x))
✓	cost-diff	(*.f64 c s)
✓	cost-diff	(.f64 c (.f64 c s))
✓	cost-diff	(.f64 s (.f64 c (*.f64 c s)))
✓	cost-diff	(/.f64 #s(literal -2 binary64) (.f64 s (.f64 c (*.f64 c s))))
✓	cost-diff	(.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))
✓	cost-diff	(+.f64 x x)
✓	cost-diff	(cos.f64 (+.f64 x x))
✓	cost-diff	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))

Rules

1 246×	`associate-/r*`
1 188×	`/-lowering-/.f32`
1 188×	`/-lowering-/.f64`
342×	`-lowering-.f32`
342×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	246
1	96	246
2	278	246
3	754	246
4	833	246
5	834	246
6	834	246
7	1169	246
8	1171	246
9	1171	246
0	1171	244

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x))))
(cos (+ x x))
(+ x x)
x
(* (* s (* c x)) (* s (* c x)))
(* s (* c x))
s
(* c x)
c
(/ -2 (* s (* c (* c s))))
-2
(* s (* c (* c s)))
s
(* c (* c s))
c
(* c s)
(/ 1 (* (* (* x c) (* s (* s c))) x))
1
(* (* (* x c) (* s (* s c))) x)
(* (* x c) (* s (* s c)))
(* x c)
x
c
(* s (* s c))
s
(* s c)
(/ (+ (* (* x x) -2) 1) (* (* (* (* c c) x) (* s x)) s))
(+ (* (* x x) -2) 1)
(* x x)
x
-2
1
(* (* (* (* c c) x) (* s x)) s)
(* (* (* c c) x) (* s x))
(* (* c c) x)
(* c c)
c
(* s x)
s
(/ (cos (+ x x)) (* x (* x (* s (* c (* c s))))))
(cos (+ x x))
(+ x x)
x
(* x (* x (* s (* c (* c s)))))
(* x (* s (* c (* c s))))
(* s (* c (* c s)))
s
(* c (* c s))
c
(* c s)

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

localize116.0ms (1.1%)

Memory

28.5MiB live, 300.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(cos.f64 (+.f64 x x))
✓	accuracy	95.1%	(.f64 x (.f64 x (.f64 s (.f64 c (*.f64 c s)))))
✓	accuracy	94.9%	(.f64 s (.f64 c (*.f64 c s)))
✓	accuracy	91.2%	(.f64 x (.f64 s (.f64 c (.f64 c s))))
✓	accuracy	94.2%	(.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s x)) s)
✓	accuracy	88.8%	(.f64 (.f64 c c) x)
✓	accuracy	86.2%	(.f64 (.f64 (.f64 c c) x) (.f64 s x))
✓	accuracy	78.2%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s x)) s))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) (.f64 s (*.f64 s c))) x))
✓	accuracy	99.8%	(.f64 s (.f64 s c))
✓	accuracy	95.1%	(.f64 (.f64 (.f64 x c) (.f64 s (*.f64 s c))) x)
✓	accuracy	86.3%	(.f64 (.f64 x c) (.f64 s (.f64 s c)))
✓	accuracy	100.0%	(*.f64 c s)
✓	accuracy	99.7%	(.f64 c (.f64 c s))
✓	accuracy	99.1%	(/.f64 #s(literal -2 binary64) (.f64 s (.f64 c (*.f64 c s))))
✓	accuracy	94.9%	(.f64 s (.f64 c (*.f64 c s)))
✓	accuracy	99.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
✓	accuracy	99.7%	(.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))
✓	accuracy	99.6%	(cos.f64 (+.f64 x x))
✓	accuracy	91.8%	(.f64 s (.f64 c x))

Samples

73.0ms

256×

valid

Compiler

Compiled 246 to 35 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 31.0ms (59.2% of total)

ival-add: 8.0ms (15.3% of total)

ival-div: 7.0ms (13.4% of total)

ival-cos: 6.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.3%)

Memory

-22.9MiB live, 70.8MiB allocated

Counts

23 → 648

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt (/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor inf x) (#s(alt (/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow c 2) x) (taylor inf x) (#s(alt (* (* c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor inf x) (#s(alt (* (* c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor inf x) (#s(alt (* (* c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf x) (#s(alt (* (* c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf x) (#s(alt (* (* c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf x) (#s(alt (* (* c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf x) (#s(alt (* (* c c) x) (patch (.f64 (.f64 c c) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf x) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf s) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor 0 c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) x)) (taylor -inf c) (#s(alt (* x (* s (* c (* c s)))) (patch (.f64 x (.f64 s (.f64 c (.f64 c s)))) #<representation binary64>) () ())) ())

Calls

162 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(/ -2 (* s (* c (* c s))))
1.0ms	s	@	inf	(/ -2 (* s (* c (* c s))))
0.0ms	s	@	0	(/ -2 (* s (* c (* c s))))
0.0ms	c	@	0	(/ -2 (* s (* c (* c s))))
0.0ms	x	@	0	(/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x))))

rewrite73.0ms (0.7%)

Memory

-8.1MiB live, 147.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

624×	`-lowering-.f32`
624×	`-lowering-.f64`
478×	`/-lowering-/.f32`
478×	`/-lowering-/.f64`
188×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	170
1	159	150
0	964	148

Stop Event

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

Counts

23 → 432

Calls

Call 1

Inputs
(/ (cos (+ x x)) (* (* s (* c x)) (* s (* c x))))
(cos (+ x x))
(+ x x)
(* (* s (* c x)) (* s (* c x)))
(/ -2 (* s (* c (* c s))))
(* s (* c (* c s)))
(* c (* c s))
(* c s)
(/ 1 (* (* (* x c) (* s (* s c))) x))
(* (* (* x c) (* s (* s c))) x)
(* (* x c) (* s (* s c)))
(* x c)
(/ (+ (* (* x x) -2) 1) (* (* (* (* c c) x) (* s x)) s))
(+ (* (* x x) -2) 1)
(* x x)
(* (* (* (* c c) x) (* s x)) s)
(/ (cos (+ x x)) (* x (* x (* s (* c (* c s))))))
(* x (* x (* s (* c (* c s)))))
(* s (* c x))
(* s (* s c))
(* (* (* c c) x) (* s x))
(* (* c c) x)
(* x (* s (* c (* c s))))

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

simplify376.0ms (3.5%)

Memory

17.1MiB live, 655.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 354×	`accelerator-lowering-fma.f32`
12 354×	`accelerator-lowering-fma.f64`
6 478×	`-lowering-.f32`
6 478×	`-lowering-.f64`
2 004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	6408
1	168	6408
2	479	6380
3	1879	6342
4	3571	6086
5	5629	6086
0	8033	6056

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

eval243.0ms (2.2%)

Memory: 15.3MiB live, 238.4MiB allocated
Compiler: Compiled 20 033 to 916 computations (95.4% saved)

prune517.0ms (4.8%)

Memory

-40.6MiB live, 383.8MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1 232	20	1 252
Fresh	15	18	33
Picked	2	3	5
Done	0	3	3
Total	1 249	44	1 293

Accuracy

100.0%

Counts

1 293 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 s c)) (.f64 x c)) s))
	49.5%	(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c (.f64 x (.f64 x c))) s) s))
	37.6%	(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c (.f64 s (.f64 s c))) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))))))
	60.3%	(/.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x))))
	60.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x c)) c) (.f64 x (*.f64 s s)))
	81.8%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 s (.f64 s c)))) (.f64 x c))
✓	97.7%	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
	67.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s (.f64 s c)))) (.f64 x c))
	79.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (.f64 s c)))
	78.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s x))) (.f64 s (.f64 c x)))
	68.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c x))) (.f64 s (.f64 s x)))
	75.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 c x)) (.f64 s (.f64 s (.f64 c x))))
	69.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 s (.f64 (.f64 s (.f64 c c)) x)))
	26.7%	(/.f64 (/.f64 #s(literal -2 binary64) (.f64 s (.f64 c c))) s)
	27.0%	(/.f64 (/.f64 #s(literal -2 binary64) (.f64 s c)) (.f64 s c))
	26.7%	(/.f64 (/.f64 #s(literal -2 binary64) s) (.f64 s (.f64 c c)))
	57.2%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 s (.f64 c (.f64 c s))))
	45.0%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 c (.f64 c s))))) (.f64 x x))
	48.6%	(/.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 s (.f64 s (*.f64 c c))))) x)
	96.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x s) c) (.f64 s (*.f64 c x))))
	91.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 x c) (.f64 x (*.f64 s c))) s))
✓	97.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
	70.9%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s s) (.f64 c (.f64 x (*.f64 x c)))))
	75.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c (.f64 s (.f64 c (*.f64 x x))))))
	75.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 x c) (.f64 x (*.f64 s s)))))
✓	67.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x c) (.f64 s (*.f64 s c))) x))
	71.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) (.f64 x s)) (*.f64 x s)))
	57.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s s)) (.f64 x (*.f64 c c))))
	79.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s c)) (.f64 x (*.f64 s c))))
	62.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 (.f64 x (*.f64 s s)) c)))
✓	75.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x c) (.f64 (.f64 c s) (*.f64 s x))))
	76.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 (.f64 x (*.f64 x s)) c)) c))
	78.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
	77.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 s (*.f64 c x)))))
	71.6%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))
	63.3%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 (.f64 s (.f64 s c)) (*.f64 x x))))
✓	76.7%	(/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (*.f64 s x)))))
	30.1%	(/.f64 #s(literal -2 binary64) (.f64 (.f64 s (*.f64 s c)) c))
	27.2%	(/.f64 #s(literal -2 binary64) (.f64 (.f64 s (*.f64 c c)) s))
	30.0%	(/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))
	27.5%	(/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (*.f64 s c)))
✓	27.5%	(/.f64 #s(literal -2 binary64) (.f64 s (.f64 c (*.f64 c s))))
	78.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 (.f64 s (.f64 c c)) x))) (cos.f64 (+.f64 x x)))
	97.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x)))) (cos.f64 (+.f64 x x)))

Compiler

Compiled 2 248 to 745 computations (66.9% saved)

regimes204.0ms (1.9%)

Memory

32.4MiB live, 189.2MiB allocated

Counts

94 → 1

Calls

Call 1

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

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

Calls

6 calls:

49.0ms	(pow.f64 s #s(literal 2 binary64))
42.0ms	c
37.0ms	(/.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)))
28.0ms	x
24.0ms	s

Results

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

regimes173.0ms (1.6%)

Memory

6.8MiB live, 165.9MiB allocated

Counts

82 → 1

Calls

Call 1

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

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

Calls

6 calls:

40.0ms	c
37.0ms	(pow.f64 s #s(literal 2 binary64))
28.0ms	s
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)))
21.0ms	x

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes100.0ms (0.9%)

Memory

-8.6MiB live, 117.5MiB allocated

Counts

58 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

18.0ms	x
18.0ms	(/.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)))
16.0ms	s
15.0ms	c
14.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.2%	3	`s`
91.9%	4	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
93.2%	3	`(pow.f64 s #s(literal 2 binary64))`
96.4%	3	`x`
88.8%	2	`c`
88.8%	2	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes65.0ms (0.6%)

Memory

-5.6MiB live, 71.5MiB allocated

Counts

54 → 2

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	(pow.f64 s #s(literal 2 binary64))
16.0ms	x
14.0ms	s

Results

Accuracy	Segments	Branch
91.7%	2	`s`
91.7%	2	`(pow.f64 s #s(literal 2 binary64))`
91.2%	2	`x`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes158.0ms (1.5%)

Memory

5.4MiB live, 126.7MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

42.0ms	(pow.f64 s #s(literal 2 binary64))
39.0ms	x
34.0ms	(pow.f64 c #s(literal 2 binary64))
14.0ms	s
14.0ms	c

Results

Accuracy	Segments	Branch
79.2%	1	`c`
79.2%	1	`(pow.f64 c #s(literal 2 binary64))`
82.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
79.2%	1	`x`
79.2%	1	`s`
79.2%	1	`(pow.f64 s #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes10.0ms (0.1%)

Memory

-27.1MiB live, 11.4MiB allocated

Counts

34 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
82.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
82.1%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
81.5%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
82.4%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes31.0ms (0.3%)

Memory

-0.6MiB live, 38.5MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
78.7%	2	`c`
76.7%	1	`s`
78.7%	2	`(pow.f64 c #s(literal 2 binary64))`
76.7%	1	`(pow.f64 s #s(literal 2 binary64))`
78.7%	2	`x`
81.6%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes21.0ms (0.2%)

Memory

-37.7MiB live, 5.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

(/.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
81.3%	3	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(/.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
79.6%	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)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes19.0ms (0.2%)

Memory

10.0MiB live, 49.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
30.1%	1	`s`
30.1%	1	`(pow.f64 s #s(literal 2 binary64))`
30.1%	1	`c`
30.1%	1	`(pow.f64 c #s(literal 2 binary64))`
30.1%	1	`x`
30.1%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes14.0ms (0.1%)

Memory

-7.4MiB live, 31.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
30.0%	1	`(pow.f64 s #s(literal 2 binary64))`
30.0%	1	`s`
30.0%	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)))`
30.0%	1	`c`
30.0%	1	`x`
30.0%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes10.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
27.5%	1	`s`
27.5%	1	`(pow.f64 s #s(literal 2 binary64))`
27.5%	1	`x`
27.5%	1	`c`
27.5%	1	`(pow.f64 c #s(literal 2 binary64))`
27.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes9.0ms (0.1%)

Memory

-18.4MiB live, 21.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
27.5%	1	`(pow.f64 s #s(literal 2 binary64))`
27.5%	1	`c`
27.5%	1	`s`
27.5%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
27.5%	1	`x`
27.5%	1	`(pow.f64 c #s(literal 2 binary64))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch42.0ms (0.4%)

Memory

-6.6MiB live, 72.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.6484468213179715e+111	3.976675814861701e+114
19.0ms	3.924060989072554e-19	0.08028660557777892

Samples

29.0ms

288×

valid

Compiler

Compiled 712 to 420 computations (41% saved)

Precisions

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

ival-cos: 6.0ms (30.3% of total)

ival-mult: 6.0ms (30.3% of total)

ival-pow2: 6.0ms (30.3% of total)

ival-div: 2.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4250016528448283e+248	2.4002828145721628e+249

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6333958795512647e-149	0.0

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify13.0ms (0.1%)

Memory

-14.5MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	589
1	133	589

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
(if (<=.f64 x #s(literal 7366891713276647/18889465931478580854784 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (.f64 s c))) (if (<=.f64 x #s(literal 3900000000000000060681722904920687794645985447992139590142105263680251746542547242733443020668685045937204495384576 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c (.f64 s (.f64 c (.f64 x x)))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 x c) (.f64 x (.f64 s s)))))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 200000000000000009059656093454283493894480369275085331567506627801514030557619328472424725816137264176261822880706493688011786868387997604430905860892176095581446469000357584466762025826605872027055636809415309817703628810557419457353500712587231232 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 x c) (.f64 x (.f64 s s))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (*.f64 s c))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (.f64 s c))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (*.f64 s c))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c 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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 s (.f64 c x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (.f64 s x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.f64 c s)))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (.f64 s x))))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c (.f64 s (*.f64 x 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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (.f64 s x))))))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 s (*.f64 s c)) c))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (*.f64 s c)))
(/.f64 #s(literal -2 binary64) (.f64 s (.f64 c (*.f64 c s))))

Outputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c x))) (.f64 s (.f64 c x)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 x c))) (.f64 s (.f64 x c)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 c x)) (.f64 s (*.f64 c x))))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s (.f64 x c)) (.f64 s (*.f64 x c))))
(if (<=.f64 x #s(literal 7366891713276647/18889465931478580854784 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (.f64 s c))) (if (<=.f64 x #s(literal 3900000000000000060681722904920687794645985447992139590142105263680251746542547242733443020668685045937204495384576 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s (.f64 c (.f64 s (.f64 c (.f64 x x)))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 x c) (.f64 x (.f64 s s)))))))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 200000000000000009059656093454283493894480369275085331567506627801514030557619328472424725816137264176261822880706493688011786868387997604430905860892176095581446469000357584466762025826605872027055636809415309817703628810557419457353500712587231232 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 (.f64 x c) (.f64 x (.f64 s s))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (*.f64 s c))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (.f64 s c))))
(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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 s (.f64 x c)) (.f64 s (.f64 x c)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (.f64 s c))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (*.f64 s c))))
(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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 s c))) (.f64 x (*.f64 s c))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c)))))
(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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 s c)) (.f64 x (.f64 s c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 c x)) (.f64 s (.f64 c 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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s (.f64 x c)) (.f64 s (.f64 x c)))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 s x) (.f64 c (.f64 s (.f64 c x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (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 #s(literal 1 binary64) (.f64 (.f64 x s) (.f64 c (.f64 s (.f64 x c))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 s c) (*.f64 s c)))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (.f64 s x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 c s) (*.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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (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 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 x s) (.f64 x s))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 s c) (*.f64 s c)))))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (.f64 s x))))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c (.f64 s (*.f64 x 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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (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 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 x s) (.f64 x s))))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 s (.f64 c (.f64 s (*.f64 x 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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 s x) (.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 -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (.f64 s c))) (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 (.f64 x s) (.f64 x s))))))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 s (*.f64 s c)) c))
(/.f64 #s(literal -2 binary64) (.f64 c (.f64 s (*.f64 s c))))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) (*.f64 c c)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) (*.f64 s c)))
(/.f64 #s(literal -2 binary64) (.f64 s (.f64 c (*.f64 c s))))
(/.f64 #s(literal -2 binary64) (.f64 s (.f64 c (*.f64 s c))))

soundness1.7s (15.8%)

Memory

7.0MiB live, 965.8MiB allocated

Rules

27 518×	`accelerator-lowering-fma.f32`
27 518×	`accelerator-lowering-fma.f64`
21 732×	`accelerator-lowering-fma.f32`
21 732×	`accelerator-lowering-fma.f64`
15 610×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	7718
1	229	7718
2	698	7684
3	2663	7264
4	4853	6984
0	8776	6914
0	33	174
1	156	164
0	889	164
0	33	170
1	159	150
0	964	148
0	38	207
1	187	177
0	1220	174
0	50	1476
1	117	1476
2	383	1462
3	1957	1452
4	4755	1444
5	6901	1444
0	8120	1432
0	12	49
1	47	49
2	209	45
3	1937	39
0	8390	39
0	84	6972
1	209	6972
2	610	6910
3	2296	6866
4	4845	6866
0	8099	6824
0	70	6408
1	168	6408
2	479	6380
3	1879	6342
4	3571	6086
5	5629	6086
0	8033	6056

Stop Event

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

Compiler

Compiled 1 803 to 853 computations (52.7% saved)

preprocess194.0ms (1.8%)

Memory

31.6MiB live, 269.1MiB allocated

Remove

(abs s)

(abs c)

(abs x)

Compiler

Compiled 2 172 to 662 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze129.0ms (1.2%)

sample1.7s (16%)

preprocess70.0ms (0.6%)

explain153.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize181.0ms (1.7%)

series20.0ms (0.2%)

rewrite341.0ms (3.1%)

simplify421.0ms (3.9%)

eval105.0ms (1%)

prune155.0ms (1.4%)

simplify27.0ms (0.3%)

localize330.0ms (3%)

series63.0ms (0.6%)

rewrite73.0ms (0.7%)

simplify578.0ms (5.3%)

eval216.0ms (2%)

prune173.0ms (1.6%)

simplify473.0ms (4.4%)

localize121.0ms (1.1%)

series85.0ms (0.8%)

rewrite86.0ms (0.8%)

simplify674.0ms (6.2%)

eval150.0ms (1.4%)

prune276.0ms (2.5%)

simplify42.0ms (0.4%)

localize116.0ms (1.1%)

series34.0ms (0.3%)

rewrite73.0ms (0.7%)

simplify376.0ms (3.5%)

eval243.0ms (2.2%)

prune517.0ms (4.8%)

regimes204.0ms (1.9%)

regimes173.0ms (1.6%)

regimes100.0ms (0.9%)

regimes65.0ms (0.6%)

regimes158.0ms (1.5%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes31.0ms (0.3%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes19.0ms (0.2%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.7s (15.8%)

preprocess194.0ms (1.8%)

end0.0ms (0%)

Profiling