Metrics for mixedcos

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze147.0ms (2.8%)

Memory

0.9MiB live, 138.6MiB allocated; 30ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.5s (28%)

Memory

12.8MiB live, 1 342.7MiB allocated; 334ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 798.0ms

ival-pow2: 267.0ms (33.4% of total)

ival-mult: 257.0ms (32.2% of total)

ival-cos: 211.0ms (26.4% of total)

ival-div: 47.0ms (5.9% of total)

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

exact: 5.0ms (0.6% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain189.0ms (3.6%)

Memory

-11.7MiB live, 266.3MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
61	0	-	1	(9.617632585797317e+108 -8.13902676320016e-159 -3.5174204373825816e-83)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
43	0	-	3	(2.8779982574113125e+93 5.8229463539813265e+239 -4.046497814001547e-158)	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
20	0	-	1	(-1.200291875632254e+251 -3.4141894525733074e-245 6.02124036493939e-285)	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
1	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	132	(4134094056370.5947 7.530416381650786e-284 9.009410046673674e-75)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	132	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	24	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	18	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	61
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	71
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	67
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	18	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	69
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	69
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	68
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	16	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	15	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	13	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	9	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	6	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	1	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	73
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	69
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	86
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	71
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	67

Confusion

	Predicted +	Predicted -
+	92	0
-	92	72

Precision

0.5

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	92	0	72

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	72
1	123
2	54
3	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-cos: 12.0ms (31.7% of total)

ival-mult: 12.0ms (31.7% of total)

ival-pow2: 10.0ms (26.4% of total)

ival-div: 3.0ms (7.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess186.0ms (3.5%)

Memory

33.5MiB live, 178.1MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	161
1	146	147
2	507	147
3	2091	147
4	5341	147
0	12	16
0	20	16
1	40	16
2	107	16
3	397	16
4	2370	16
5	6345	16
0	8038	16

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Compiler

Compiled 16 to 12 computations (25% saved)

series26.0ms (0.5%)

Memory

3.6MiB live, 47.9MiB allocated; 5ms collecting garbage

Counts

12 → 19

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (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)
4.0ms	c	@	inf	((/ (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)
3.0ms	x	@	0	((/ (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)
3.0ms	x	@	-inf	((/ (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)
2.0ms	s	@	inf	((/ (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)

simplify282.0ms (5.3%)

Memory

9.2MiB live, 295.6MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	231
1	144	215
2	581	195
3	4660	195
0	8428	184

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 16

Calls

Call 1

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

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

rewrite55.0ms (1%)

Memory

-27.4MiB live, 63.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	59	56
0	288	56

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

12 → 74

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 953 to 332 computations (83% saved)

prune9.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	82	12	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	12	95

Accuracy

93.4%

Counts

95 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) x) (.f64 (.f64 s s) x))
	71.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x s) s) x)))
▶	74.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) #s(approx (* (* x (pow s 2)) x) (.f64 (.f64 (*.f64 s x) x) s))))
	72.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
▶	66.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c c) x) (.f64 s s)) x))
	73.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
	44.2%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c)))
	30.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) s) (.f64 (.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) s) (.f64 (.f64 s c) c))) (*.f64 x x)))
▶	45.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) c) (.f64 (.f64 s c) s))))
▶	73.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s x) x)) s))
	55.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
▶	26.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (.f64 s s) x)) (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 s c) c) s))))

Compiler

Compiled 690 to 446 computations (35.4% saved)

series112.0ms (2.1%)

Memory

-12.5MiB live, 175.6MiB allocated; 28ms collecting garbage

Counts

46 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (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) (* (* (* s x) x) s) (* (* s x) x) (* s x) s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) -2 (* x x) 1 (* (* (* x x) c) (* (* s c) s)) (* (* x x) c) (* (* s c) s) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* c c) (* (* s s) x) (* s s) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (+ (* 2/3 (* x x)) -2) 2/3 (* (* (* s c) c) s) (* (* s c) c) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) s) (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x))
14.0ms	s	@	-inf	((/ (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) (* (* (* s x) x) s) (* (* s x) x) (* s x) s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) -2 (* x x) 1 (* (* (* x x) c) (* (* s c) s)) (* (* x x) c) (* (* s c) s) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* c c) (* (* s s) x) (* s s) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (+ (* 2/3 (* x x)) -2) 2/3 (* (* (* s c) c) s) (* (* s c) c) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) s) (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x))
11.0ms	x	@	inf	((/ (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) (* (* (* s x) x) s) (* (* s x) x) (* s x) s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) -2 (* x x) 1 (* (* (* x x) c) (* (* s c) s)) (* (* x x) c) (* (* s c) s) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* c c) (* (* s s) x) (* s s) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (+ (* 2/3 (* x x)) -2) 2/3 (* (* (* s c) c) s) (* (* s c) c) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) s) (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x))
9.0ms	s	@	inf	((/ (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) (* (* (* s x) x) s) (* (* s x) x) (* s x) s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) -2 (* x x) 1 (* (* (* x x) c) (* (* s c) s)) (* (* x x) c) (* (* s c) s) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* c c) (* (* s s) x) (* s s) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (+ (* 2/3 (* x x)) -2) 2/3 (* (* (* s c) c) s) (* (* s c) c) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) s) (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x))
9.0ms	c	@	0	((/ (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) (* (* (* s x) x) s) (* (* s x) x) (* s x) s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) -2 (* x x) 1 (* (* (* x x) c) (* (* s c) s)) (* (* x x) c) (* (* s c) s) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* c c) (* (* s s) x) (* s s) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (+ (* 2/3 (* x x)) -2) 2/3 (* (* (* s c) c) s) (* (* s c) c) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) s) (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x))

simplify571.0ms (10.8%)

Memory

-54.5MiB live, 217.4MiB allocated; 773ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	789
1	371	733
2	1424	639
3	7502	639
0	8488	611

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 56

Calls

Call 1

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

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

rewrite94.0ms (1.8%)

Memory

24.3MiB live, 120.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	436
0	91	436
1	295	376
0	2038	376

Stop Event

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

Counts

46 → 588

Calls

Call 1

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

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

eval75.0ms (1.4%)

Memory: 9.3MiB live, 152.7MiB allocated; 36ms collecting garbage
Compiler: Compiled 26 217 to 2 420 computations (90.8% saved)

prune65.0ms (1.2%)

Memory

-2.0MiB live, 89.0MiB allocated; 14ms collecting garbage

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	665	27	692
Fresh	4	3	7
Picked	5	0	5
Done	0	0	0
Total	674	30	704

Accuracy

100.0%

Counts

704 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (.f64 c c)) (.f64 (.f64 (neg.f64 x) (.f64 s x)) s))
	66.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s s)) x))
	86.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	72.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
▶	86.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s c) s) (.f64 c x)) x))
	84.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(approx ( (* x (pow s 2)) x) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c) c))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s s))) x))
	73.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
▶	98.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) #s(approx ( (* x (pow s 2)) x) (.f64 (.f64 (*.f64 s x) x) s))))
▶	56.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s s)) x))
	54.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)))
	58.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
▶	47.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c))))
	52.2%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) s) x) (.f64 c x))))
	55.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) s) (.f64 s x))))
	54.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 (.f64 (.f64 c c) x) s)) s)))
	47.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 c x) (.f64 (.f64 s s) x)))))
	82.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 c (.f64 (.f64 s x) x))) s))
	56.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) x) (.f64 (*.f64 c c) x)))
	55.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
	76.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) x) s) x)) s))
	53.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) c) c)) (.f64 (*.f64 s x) x)) s))
	64.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 #s(literal 1 binary64) (.f64 c c))) (.f64 (*.f64 s x) x)) s))
	60.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) x)) x) s)) s))
	17.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) c) (.f64 (*.f64 s c) s))))
▶	31.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (.f64 s s) x)) #s(approx (/ (+ ( 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) c)) c))))
	28.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) c) s) c)) s) (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (.f64 s c) c) s))))
	33.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x)) (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 s c) c) s))))
	18.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) s) (.f64 (*.f64 c c) s))))

Compiler

Compiled 1 920 to 1 284 computations (33.1% saved)

series68.0ms (1.3%)

Memory

14.9MiB live, 158.3MiB allocated; 29ms collecting garbage

Counts

42 → 42

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	c	@	0	((/ (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)) (* (* (* c x) s) (* (* c x) s)) (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (cos (* 2 x)) 1 (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* x x) c) s) (* s c))) (+ (* -2 (* x x)) 1) -2 (* x x) (* (* (* (* x x) c) s) (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* (* s s) x) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) (* c x)) x)) (* (* (* (* s c) s) (* c x)) x) (* (* (* s c) s) (* c x)) (* (* s c) s))
9.0ms	s	@	0	((/ (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)) (* (* (* c x) s) (* (* c x) s)) (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (cos (* 2 x)) 1 (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* x x) c) s) (* s c))) (+ (* -2 (* x x)) 1) -2 (* x x) (* (* (* (* x x) c) s) (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* (* s s) x) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) (* c x)) x)) (* (* (* (* s c) s) (* c x)) x) (* (* (* s c) s) (* c x)) (* (* s c) s))
8.0ms	x	@	inf	((/ (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)) (* (* (* c x) s) (* (* c x) s)) (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (cos (* 2 x)) 1 (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* x x) c) s) (* s c))) (+ (* -2 (* x x)) 1) -2 (* x x) (* (* (* (* x x) c) s) (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* (* s s) x) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) (* c x)) x)) (* (* (* (* s c) s) (* c x)) x) (* (* (* s c) s) (* c x)) (* (* s c) s))
7.0ms	c	@	-inf	((/ (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)) (* (* (* c x) s) (* (* c x) s)) (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (cos (* 2 x)) 1 (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* x x) c) s) (* s c))) (+ (* -2 (* x x)) 1) -2 (* x x) (* (* (* (* x x) c) s) (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* (* s s) x) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) (* c x)) x)) (* (* (* (* s c) s) (* c x)) x) (* (* (* s c) s) (* c x)) (* (* s c) s))
7.0ms	c	@	inf	((/ (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)) (* (* (* c x) s) (* (* c x) s)) (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (cos (* 2 x)) 1 (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* (* x x) c) s) (* s c))) (+ (* -2 (* x x)) 1) -2 (* x x) (* (* (* (* x x) c) s) (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (/ 1 (* c c)) x) (/ 1 (* c c)) (* (* s s) x) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) (* c x)) x)) (* (* (* (* s c) s) (* c x)) x) (* (* (* s c) s) (* c x)) (* (* s c) s))

simplify162.0ms (3.1%)

Memory

-32.3MiB live, 210.9MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	524
1	262	492
2	972	424
3	5851	424
0	8010	408

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 39

Calls

Call 1

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

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

rewrite88.0ms (1.7%)

Memory

11.1MiB live, 118.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	438
0	91	414
1	309	348
0	1814	345

Stop Event

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

Counts

42 → 652

Calls

Call 1

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

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

eval73.0ms (1.4%)

Memory: -12.9MiB live, 123.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 24 164 to 2 234 computations (90.8% saved)

prune63.0ms (1.2%)

Memory

-8.1MiB live, 89.8MiB allocated; 10ms collecting garbage

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	590	30	620
Fresh	14	11	25
Picked	4	1	5
Done	0	0	0
Total	608	42	650

Accuracy

100.0%

Counts

650 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s c) s)) (.f64 (*.f64 x x) c))
	56.3%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (.f64 (.f64 s s) x))
	66.3%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c c)) (.f64 (.f64 s x) (.f64 s x)))
	97.9%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	86.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x))
	66.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s s)) x))
	98.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	86.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	72.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s s))) x))
▶	98.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))))
	85.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)))
	82.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) x) c) s) s)))
▶	94.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	80.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 c x) (.f64 (.f64 c x) (*.f64 s s)))))
	90.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 c x) s)))))
	53.7%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	52.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s c) s) (.f64 c x)) x))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) #s(approx ( (* x (pow s 2)) x) (.f64 (.f64 (*.f64 s x) x) s))))
	70.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
	68.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s c) s) x) c) x))
	64.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) s) s) x))
	68.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x))
	72.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) c) (*.f64 s x)) x))
	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 s c)) x))
	62.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 (*.f64 s s) x))) x))
▶	76.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	65.1%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
	32.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (.f64 s c) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (*.f64 s x) x) c) s)) c)))
	58.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
✓	47.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c))))
	58.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 s c))) (.f64 s c))))
	47.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) c) s) s)) c))
	82.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 c (.f64 (.f64 s x) x))) s))
	56.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) x) (.f64 (*.f64 c c) x)))
	55.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
	64.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 #s(literal 1 binary64) (.f64 c c))) (.f64 (*.f64 s x) x)) s))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) x) c) s)) c))
	60.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) x)) x) s)) s))
	17.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))))
▶	40.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) c) s)) (.f64 s c)) #s(approx (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) c)) c))))
▶	18.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) s) (.f64 (*.f64 s c) c))))

Compiler

Compiled 2 325 to 1 564 computations (32.7% saved)

series93.0ms (1.8%)

Memory

16.9MiB live, 63.3MiB allocated; 4ms collecting garbage

Counts

42 → 44

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	s	@	inf	((/ (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)) (/ 1 (pow (* (* c x) s) -2)) 1 (pow (* (* c x) s) -2) (* (* c x) s) (* c x) c s -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/ (+ (* (* x x) 2/3) -2) s) (+ (* (* x x) 2/3) -2) (* x x) 2/3 (* (* s c) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ 1 (* (* (* x x) c) s)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
7.0ms	c	@	-inf	((/ (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)) (/ 1 (pow (* (* c x) s) -2)) 1 (pow (* (* c x) s) -2) (* (* c x) s) (* c x) c s -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/ (+ (* (* x x) 2/3) -2) s) (+ (* (* x x) 2/3) -2) (* x x) 2/3 (* (* s c) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ 1 (* (* (* x x) c) s)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
6.0ms	s	@	-inf	((/ (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)) (/ 1 (pow (* (* c x) s) -2)) 1 (pow (* (* c x) s) -2) (* (* c x) s) (* c x) c s -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/ (+ (* (* x x) 2/3) -2) s) (+ (* (* x x) 2/3) -2) (* x x) 2/3 (* (* s c) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ 1 (* (* (* x x) c) s)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
6.0ms	s	@	0	((/ (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)) (/ 1 (pow (* (* c x) s) -2)) 1 (pow (* (* c x) s) -2) (* (* c x) s) (* c x) c s -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/ (+ (* (* x x) 2/3) -2) s) (+ (* (* x x) 2/3) -2) (* x x) 2/3 (* (* s c) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ 1 (* (* (* x x) c) s)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))
6.0ms	c	@	inf	((/ (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)) (/ 1 (pow (* (* c x) s) -2)) 1 (pow (* (* c x) s) -2) (* (* c x) s) (* c x) c s -2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* c x) s) (* (* c x) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/ (+ (* (* x x) 2/3) -2) s) (+ (* (* x x) 2/3) -2) (* x x) 2/3 (* (* s c) c) (* s c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/ (/ 1 (* (* (* x x) c) s)) (* s c)) (/ 1 (* (* (* x x) c) s)) (* (* (* x x) c) s) (* (* x x) c) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/ (/ -2 (* (* s s) c)) c) (/ -2 (* (* s s) c)) (* (* s s) c) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (pow c 2) (* (* x (pow s 2)) x)) (* (* (* (* c x) s) s) (* c x)) (* (* (* c x) s) s))

simplify223.0ms (4.2%)

Memory

33.7MiB live, 212.4MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	520
1	291	504
2	1051	446
3	6028	446
0	8087	427

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 41

Calls

Call 1

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

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

rewrite143.0ms (2.7%)

Memory

-42.0MiB live, 160.4MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	546
0	93	511
1	337	441
0	2376	441

Stop Event

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

Counts

42 → 473

Calls

Call 1

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

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

eval63.0ms (1.2%)

Memory: 14.4MiB live, 153.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 24 383 to 1 994 computations (91.8% saved)

prune91.0ms (1.7%)

Memory

-12.2MiB live, 133.3MiB allocated; 13ms collecting garbage

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	487	13	500
Fresh	6	30	36
Picked	4	1	5
Done	0	1	1
Total	497	45	542

Accuracy

100.0%

Counts

542 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s c) s)) (.f64 (*.f64 x x) c))
	56.3%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c c) x)) (.f64 (.f64 s s) x))
	66.3%	(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c c)) (.f64 (.f64 s x) (.f64 s x)))
	94.0%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	86.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s c) s) (*.f64 c x)) x))
	66.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 c c) x) (*.f64 s s)) x))
	94.1%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	98.0%	(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
	86.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	72.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s s) x) x) c) c))
	76.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c (.f64 (.f64 c x) (.f64 s s))) x))
	85.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)))
	82.3%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 c x) x) c) s) s)))
	80.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s s) (.f64 c x)) (*.f64 c x))))
	90.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (.f64 c (.f64 (.f64 s x) (.f64 (*.f64 c x) s)))))
	50.4%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	52.2%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s c) s) (.f64 c x)) x))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (pow.f64 c #s(literal 2 binary64)) #s(approx ( (* x (pow s 2)) x) (.f64 (.f64 (*.f64 s x) x) s))))
	70.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
	68.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 s c) s) x) c) x))
	64.3%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 c c) x) s) s) x))
	72.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 s c) c) (*.f64 s x)) x))
	73.4%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c x) s) (*.f64 s c)) x))
	62.9%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 (*.f64 s s) x))) x))
	76.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))))
	72.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 (.f64 c x) s) s) (*.f64 c x))))
	75.6%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 c x) s))))
	65.1%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 c x) s) #s(literal 2 binary64))))
	29.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 (.f64 s c) s) c)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (*.f64 s x) s) c) x)) c)))
	58.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c)))
✓	47.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) c) s) (.f64 s c))))
	58.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 s c))) (.f64 s c))))
	82.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 c (.f64 (.f64 s x) x))) s))
	56.4%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 s s)) x) (.f64 (*.f64 c c) x)))
	55.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) x) (.f64 (*.f64 s s) x)))
	64.6%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 #s(literal 1 binary64) (.f64 c c))) (.f64 (*.f64 s x) x)) s))
	73.8%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) x) c) s)) c))
	70.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 s x) s) c) x)) c))
	60.3%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* (* s x) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) x)) x) s)) s))
	17.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) c) s) (*.f64 s c))))
✓	40.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) c) s)) (.f64 s c)) #s(approx (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) c)) c))))
	42.9%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c x) x) s)) (.f64 s c)) #s(approx (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) c)) c))))
	40.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 s) (.f64 (.f64 x x) c)) (.f64 s c))) #s(approx (/ (+ ( 2/3 (* x x)) -2) (* (* (* s c) c) s)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s s) c)) c))))
	28.1%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) (/.f64 (/.f64 #s(approx (+ (* (* x x) 2/3) -2) #s(literal -2 binary64)) s) (.f64 (.f64 s c) c))))
	30.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) #s(approx (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) c))))

Compiler

Compiled 4 018 to 1 289 computations (67.9% saved)

regimes124.0ms (2.3%)

Memory

-2.7MiB live, 231.3MiB allocated; 24ms collecting garbage

Counts

83 → 1

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	s
21.0ms	c
20.0ms	(pow.f64 c #s(literal 2 binary64))
19.0ms	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)))

Results

Accuracy	Segments	Branch
98.1%	1	`(pow.f64 s #s(literal 2 binary64))`
98.1%	1	`(pow.f64 c #s(literal 2 binary64))`
98.1%	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)))`
98.1%	1	`x`
98.1%	1	`c`
98.1%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes113.0ms (2.1%)

Memory

32.3MiB live, 184.8MiB allocated; 24ms collecting garbage

Counts

77 → 1

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	(pow.f64 c #s(literal 2 binary64))
20.0ms	x
19.0ms	c
18.0ms	s
16.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.0%	1	`(pow.f64 s #s(literal 2 binary64))`
98.0%	1	`(pow.f64 c #s(literal 2 binary64))`
98.0%	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)))`
98.0%	1	`x`
98.0%	1	`c`
98.0%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes100.0ms (1.9%)

Memory

-23.8MiB live, 109.9MiB allocated; 12ms collecting garbage

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

37.0ms	(pow.f64 s #s(literal 2 binary64))
15.0ms	x
14.0ms	s
12.0ms	c
10.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
77.7%	2	`(pow.f64 s #s(literal 2 binary64))`
80.4%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
76.0%	1	`(pow.f64 c #s(literal 2 binary64))`
76.0%	1	`x`
76.0%	1	`c`
77.7%	2	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes11.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

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
80.4%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Accuracy

Total -1.7b remaining (-3.8%)

Threshold costs -1.7b (-3.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
30.7%	1	`(pow.f64 c #s(literal 2 binary64))`
30.7%	1	`c`
30.7%	1	`x`
30.7%	1	`(pow.f64 s #s(literal 2 binary64))`
30.7%	1	`s`
30.7%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5732909886093162e-215	-5.71097487401525e-297

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5732909886093162e-215	-5.71097487401525e-297

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify73.0ms (1.4%)

Memory

-29.1MiB live, 71.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	366
1	140	366
2	404	366
3	2419	354

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))))
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7762590461503545/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) #s(approx (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))))))
(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 -7762590461503545/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) #s(approx (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) #s(approx (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) c))))

Outputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(approx ( (pow c 2) (* (* x (pow s 2)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64)))))
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s))))
(if (<=.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7762590461503545/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) #s(approx (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 c x) s) #s(literal -2 binary64))))))
(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 -7762590461503545/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) #s(approx (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (.f64 (.f64 (.f64 c x) s) (.f64 (*.f64 c x) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (+ (/ (/ (/ 1 (* c c)) x) (* (* s s) x)) (/ (+ (* 2/3 (* x x)) -2) (* (* (* s c) c) s))) #s(approx (/ (/ (+ (* (* x x) 2/3) -2) s) (* (* s c) c)) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 s c) s)) c))))

derivations449.0ms (8.5%)

Memory

-17.3MiB live, 317.1MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 366 to 69 computations (81.1% saved)

preprocess56.0ms (1.1%)

Memory: 30.2MiB live, 117.8MiB allocated; 15ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 128 to 442 computations (60.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze147.0ms (2.8%)

sample1.5s (28%)

explain189.0ms (3.6%)

preprocess186.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series26.0ms (0.5%)

simplify282.0ms (5.3%)

rewrite55.0ms (1%)

eval9.0ms (0.2%)

prune9.0ms (0.2%)

series112.0ms (2.1%)

simplify571.0ms (10.8%)

rewrite94.0ms (1.8%)

eval75.0ms (1.4%)

prune65.0ms (1.2%)

series68.0ms (1.3%)

simplify162.0ms (3.1%)

rewrite88.0ms (1.7%)

eval73.0ms (1.4%)

prune63.0ms (1.2%)

series93.0ms (1.8%)

simplify223.0ms (4.2%)

rewrite143.0ms (2.7%)

eval63.0ms (1.2%)

prune91.0ms (1.7%)

regimes124.0ms (2.3%)

regimes113.0ms (2.1%)

regimes100.0ms (1.9%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify73.0ms (1.4%)

derivations449.0ms (8.5%)

preprocess56.0ms (1.1%)

end0.0ms (0%)

Profiling