Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze228.0ms (2.5%)

Memory

7.6MiB live, 244.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample2.2s (23.3%)

Memory

3.4MiB live, 1 711.7MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-sin: 693.0ms (51.2% of total)

ival-mult: 356.0ms (26.3% of total)

ival-div: 284.0ms (21% of total)

exact: 11.0ms (0.8% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain187.0ms (2%)

Memory

31.2MiB live, 191.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
63	0	-	1	(8.097637270026118e-162)	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
0	0	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	118	(-1.7327370794675104e+82)	0	-	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`
0	0	-	0	-	`#s(literal 8 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(*.f64 x #s(literal 1/2 binary64))`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	0	-	0	-	`(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`	sensitivity	118	0
`/.f64`	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`	u/n	62	0
↳	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`	underflow	62

Confusion

	Predicted +	Predicted -
+	62	1
-	118	75

Precision

0.34444444444444444

Recall

0.9841269841269841

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	1
-	118	0	75

Precision?

0.34444444444444444

Recall?

0.9841269841269841

Freqs

test

number	freq
0	76
1	180

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms	510×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

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

ival-sin: 30.0ms (57.7% of total)

ival-mult: 14.0ms (26.9% of total)

ival-div: 7.0ms (13.5% of total)

exact: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess71.0ms (0.8%)

Memory

-24.2MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Rules

586×	`times-frac`
414×	`associate-*r/`
412×	`associate-r`
284×	`associate-l`
270×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	35	29
2	95	28
3	296	28
4	900	28
5	1747	28
6	1848	28
7	1878	28
8	1906	28
9	1918	28
10	1990	28
11	2425	28
0	11	14
0	19	14
1	26	14
2	36	14
3	45	14
4	48	14
0	48	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Outputs

(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))

Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff	704	(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))

Rules

46×	`lower-*.f32`
40×	`lower-*.f64`
20×	`*-commutative`
10×	`associate-/l*`
10×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	19	45
1	26	45
2	36	45
3	45	45
4	48	45
0	48	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)

Outputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize39.0ms (0.4%)

Memory

20.2MiB live, 59.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.234375	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	0.36947250976844204	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	14.829113121632822	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Samples

30.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

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

ival-sin: 11.0ms (56.2% of total)

ival-div: 4.0ms (20.4% of total)

ival-mult: 4.0ms (20.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-26.2MiB live, 13.0MiB allocated

Counts

5 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/48 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
1.0ms	x	@	inf	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
1.0ms	x	@	0	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

Time

Variable

Point

Expression

2.0ms

-inf

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

1.0ms

inf

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

1.0ms

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

simplify172.0ms (1.9%)

Memory

14.1MiB live, 196.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 762×	`lower-fma.f64`
16 762×	`lower-fma.f32`
3 682×	`lower-*.f64`
3 682×	`lower-*.f32`
3 588×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	432
1	250	432
2	591	432
3	1382	432
4	2603	432
5	3609	432
6	4281	432
7	5046	432
8	6163	432
0	8037	408

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))

Outputs
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))

rewrite131.0ms (1.4%)

Memory

-10.5MiB live, 151.5MiB allocated

Rules

2 420×	`lower-*.f32`
2 414×	`lower-*.f64`
2 008×	`lower-/.f32`
2 006×	`lower-/.f64`
534×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	19	36
1	34	30
2	115	30
3	628	26
0	4915	26

Stop Event

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

Counts

5 → 269

Calls

Call 1

Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))

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

eval48.0ms (0.5%)

Memory: 20.9MiB live, 101.5MiB allocated
Compiler: Compiled 5 317 to 780 computations (85.3% saved)

prune70.0ms (0.8%)

Memory

-8.1MiB live, 198.9MiB allocated

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	312	30	342
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	313	30	343

Accuracy

100.0%

Counts

343 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
	49.5%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
▶	49.5%	(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
	49.3%	(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	49.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))
	49.3%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
▶	49.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	31.3%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin ( x 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))
	99.3%	(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
	31.3%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	76.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
	30.5%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
	32.0%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	49.5%	(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
	49.4%	(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
	49.3%	(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	49.5%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
▶	99.5%	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
	99.0%	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
	49.3%	(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
	49.4%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
	49.3%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
	49.5%	(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
▶	76.5%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
▶	54.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

Compiler

Compiled 798 to 610 computations (23.6% saved)

simplify187.0ms (2%)

Memory

8.0MiB live, 86.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
cost-diff	0	(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
cost-diff	6464	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
cost-diff	6464	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff	0	(*.f64 x #s(literal 2/3 binary64))
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff	960	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))

Rules

2 216×	`lower-fma.f32`
2 214×	`lower-fma.f64`
1 608×	`lower-*.f32`
1 596×	`lower-*.f64`
1 238×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	179
0	60	175
1	89	169
2	125	163
3	163	163
4	207	163
5	298	163
6	444	163
7	668	163
8	971	163
9	1136	163
10	1397	163
11	1733	163
12	2349	161
13	2694	161
14	3363	161
15	4025	161
16	4401	161
17	4852	161
18	5480	161
19	5767	161
20	6293	161
21	7965	161
22	7981	161
23	7981	161
24	7981	161
0	8045	160

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x #s(literal 2/3 binary64))
x
#s(literal 2/3 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Outputs
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 x #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) x)
x
#s(literal 2/3 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize173.0ms (1.9%)

Memory

14.9MiB live, 327.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.2109375	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.3671875	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy	14.840634527689389	(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
accuracy	0	(cos.f64 x)
accuracy	0.140625	(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
accuracy	14.729310327355824	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
accuracy	17.361158136268536	(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
accuracy	0	(cos.f64 x)
accuracy	0.28515625	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
accuracy	14.829113121632822	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy	17.366626430815597	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	0.3515625	(*.f64 x #s(literal 2/3 binary64))
accuracy	29.187544167336558	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
accuracy	0.00390625	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.10384750976844202	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
accuracy	0.140625	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy	0.16015625	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))

Samples

56.0ms	76×	2	valid
53.0ms	122×	0	valid
19.0ms	40×	1	valid
15.0ms	18×	3	valid

Compiler

Compiled 172 to 37 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-cos: 25.0ms (22.6% of total)

ival-div: 18.0ms (16.3% of total)

ival-mult: 18.0ms (16.3% of total)

ival-sin: 17.0ms (15.4% of total)

adjust: 12.0ms (10.8% of total)

const: 11.0ms (9.9% of total)

ival-pow2: 4.0ms (3.6% of total)

ival-sub: 3.0ms (2.7% of total)

ival-add: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series26.0ms (0.3%)

Memory

-29.8MiB live, 46.8MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x #s(literal 2/3 binary64))) (patch #s(approx (/ ( (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2/3 binary64)) (patch (.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (patch #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/16 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/48 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) (taylor 0 x) (#s(alt (sin.f64 (.f64 x #s(literal 1/2 binary64))) (patch (sin.f64 (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ 8/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 8/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 8/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 8/3 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 x)) (taylor -inf x) (#s(alt (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x 2/3) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (/ (sin (* x 1/2)) 3/8) (pow (sin (* 1/2 x)) 2) (sin (* 1/2 x)))

5.0ms

inf

((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x 2/3) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (/ (sin (* x 1/2)) 3/8) (pow (sin (* 1/2 x)) 2) (sin (* 1/2 x)))

4.0ms

-inf

((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x 2/3) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (sin x) (/ (sin (* x 1/2)) 3/8) (pow (sin (* 1/2 x)) 2) (sin (* 1/2 x)))

simplify194.0ms (2.1%)

Memory

11.6MiB live, 231.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 428×	`lower-fma.f64`
14 428×	`lower-fma.f32`
5 460×	`lower-+.f64`
5 460×	`lower-+.f32`
4 608×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1918
1	623	1918
2	1540	1912
3	2847	1912
4	4987	1912
5	5291	1912
6	5722	1912
7	6678	1912
0	8118	1772

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(sin x)
(sin x)
(sin x)
(sin x)
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(sin x)
(sin x)
(sin x)
(sin x)
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))

Outputs
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (.f64 x x) #s(literal 5/768 binary64)) (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
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(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))

rewrite414.0ms (4.5%)

Memory

-2.2MiB live, 276.0MiB allocated

Rules

3 950×	`lower-*.f32`
3 938×	`lower-*.f64`
3 182×	`lower-/.f32`
3 170×	`lower-/.f64`
2 296×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	152
0	60	143
1	166	143
2	786	140
3	6481	140
0	8215	139

Stop Event

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

Counts

20 → 966

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x #s(literal 2/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))

Outputs
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 (/.f64 (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) #s(literal -8/3 binary64))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -3/8 binary64) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
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(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))

eval211.0ms (2.3%)

Memory: -15.6MiB live, 413.7MiB allocated
Compiler: Compiled 22 297 to 2 943 computations (86.8% saved)

prune155.0ms (1.7%)

Memory

31.1MiB live, 427.3MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 316	15	1 331
Fresh	21	4	25
Picked	3	2	5
Done	0	0	0
Total	1 340	21	1 361

Accuracy

100.0%

Counts

1 361 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.4%	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
	76.7%	(/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (sin.f64 x)))
	49.5%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x)))
✓	49.5%	(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
	76.8%	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
▶	49.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	49.3%	(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	76.7%	(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 4/3 binary64)) (sin.f64 x))
	76.4%	(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 4/3 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x)))
▶	54.0%	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
	54.4%	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
	49.4%	(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
▶	49.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
	49.5%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
	49.4%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
	53.8%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.7%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
▶	53.8%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
▶	99.4%	#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
✓	54.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

Compiler

Compiled 454 to 363 computations (20% saved)

simplify319.0ms (3.5%)

Memory

-10.7MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x))
cost-diff	192	(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff	7296	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
cost-diff	0	(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	6592	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
cost-diff	0	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x))
cost-diff	0	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff	0	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
cost-diff	0	#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))

Rules

11 950×	`lower-fma.f32`
11 940×	`lower-fma.f64`
2 392×	`lower-*.f32`
2 378×	`lower-*.f64`
1 628×	`lower-+.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	46	257
0	73	254
1	117	245
2	202	245
3	416	245
4	950	245
5	1815	245
6	2553	238
7	3407	236
8	4264	232
9	5155	232
10	5767	232
11	6301	232
12	6722	232
13	7067	232
14	7815	232
0	8010	232

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
#s(literal 17/80640 binary64)
(*.f64 x x)
x
#s(literal 1/480 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(sin.f64 x)
#s(literal 3/4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
#s(literal -3/8 binary64)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(cos.f64 x)
x
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(sin.f64 x)

Outputs
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
#s(literal 17/80640 binary64)
(*.f64 x x)
x
#s(literal 1/480 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(*.f64 #s(literal 3/4 binary64) (sin.f64 x))
(sin.f64 x)
#s(literal 3/4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal -3/8 binary64)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(cos.f64 x)
x
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(sin.f64 x)

localize306.0ms (3.3%)

Memory

-1.4MiB live, 264.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
accuracy	0.42394178070058386	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
accuracy	14.621535654137544	(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x))
accuracy	17.361158136268536	(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	0	(cos.f64 x)
accuracy	0.22265625	(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
accuracy	14.820028440091058	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
accuracy	17.366626430815597	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
accuracy	0.140625	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
accuracy	29.408506951582854	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.11003876953688403	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy	0.21875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy	29.387023181905118	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
accuracy	0.37109375	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))

Samples

101.0ms	66×	2	valid
74.0ms	122×	0	valid
42.0ms	27×	3	valid
31.0ms	41×	1	valid

Compiler

Compiled 220 to 46 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 51.0ms (24.8% of total)

const: 50.0ms (24.3% of total)

ival-div: 36.0ms (17.5% of total)

ival-cos: 23.0ms (11.2% of total)

adjust: 14.0ms (6.8% of total)

ival-sin: 12.0ms (5.8% of total)

ival-add: 11.0ms (5.3% of total)

ival-tan: 5.0ms (2.4% of total)

ival-sub: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series29.0ms (0.3%)

Memory

28.6MiB live, 65.4MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) (patch #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) (patch #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal 3/4 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal 3/4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 x) #s(literal 3/4 binary64)) (patch (.f64 (sin.f64 x) #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)) (patch (.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (patch (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (patch #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) (patch #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) (patch #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) (patch #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) (patch #s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 2/3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* 1/18 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* 1/18 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* 1/18 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 x) (taylor 0 x) (#s(alt #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) (patch #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (patch (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 17/80640 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (patch (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

inf

((/ (* (- 1 (cos x)) 4/3) (sin x)) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ (- 1 (cos x)) (* (sin x) 3/4)) (- 1 (cos x)) (cos x) (* (sin x) 3/4) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (+ (* (cos x) 1/2) -1/2) (+ (* 17/80640 (* x x)) 1/480) (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48))

6.0ms

-inf

((/ (* (- 1 (cos x)) 4/3) (sin x)) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ (- 1 (cos x)) (* (sin x) 3/4)) (- 1 (cos x)) (cos x) (* (sin x) 3/4) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (+ (* (cos x) 1/2) -1/2) (+ (* 17/80640 (* x x)) 1/480) (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48))

5.0ms

((/ (* (- 1 (cos x)) 4/3) (sin x)) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ (- 1 (cos x)) (* (sin x) 3/4)) (- 1 (cos x)) (cos x) (* (sin x) 3/4) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (+ (* (cos x) 1/2) -1/2) (+ (* 17/80640 (* x x)) 1/480) (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48))

simplify244.0ms (2.6%)

Memory

-36.2MiB live, 248.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 470×	`lower-fma.f64`
14 470×	`lower-fma.f32`
4 782×	`lower-*.f64`
4 782×	`lower-*.f32`
3 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	2188
1	696	2188
2	1786	2185
3	4367	2176
4	6687	2176
0	8347	2004

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 3/4 x)
(* x (+ 3/4 (* -1/8 (pow x 2))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ 3/2 (pow x 2))
(/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
1/480
(+ 1/480 (* 17/80640 (pow x 2)))
(+ 1/480 (* 17/80640 (pow x 2)))
(+ 1/480 (* 17/80640 (pow x 2)))
1/48
(+ 1/48 (* 1/480 (pow x 2)))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(* 17/80640 (pow x 2))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* 17/80640 (pow x 4))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(* 17/80640 (pow x 2))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* 17/80640 (pow x 4))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))

Outputs
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 x)
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(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* 17/80640 (pow x 2))
(.f64 #s(literal 17/80640 binary64) (.f64 x x))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* 17/80640 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/80640 binary64))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x)
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* 1/18 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/18 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(* 17/80640 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/80640 binary64))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/80640 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/80640 binary64))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) #s(literal -17/80640 binary64)))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (.f64 x x)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) #s(literal 1/4 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/ -3/8 (- (* 1/2 (cos x)) 1/2))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* 17/80640 (pow x 2))
(.f64 #s(literal 17/80640 binary64) (.f64 x x))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* 17/80640 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/80640 binary64))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x)
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))

rewrite206.0ms (2.2%)

Memory

20.6MiB live, 330.3MiB allocated

Rules

5 194×	`lower-/.f32`
5 186×	`lower-/.f64`
4 706×	`lower-*.f32`
4 692×	`lower-*.f64`
2 544×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	228
0	73	225
1	263	220
2	1650	220
0	8554	217

Stop Event

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

Counts

22 → 1 032

Calls

Call 1

Inputs
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))

Outputs
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3/4 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))))
(.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (pow.f64 (.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(.f64 (neg.f64 (.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 3/4 binary64) (sin.f64 x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 3/4 binary64) (sin.f64 x)))))
(.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (sin.f64 x))) (.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (.f64 #s(literal -3/4 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) (neg.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) (.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (.f64 #s(literal -3/4 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (pow.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (neg.f64 (*.f64 #s(literal -3/4 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64))) (neg.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64))) (neg.f64 (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (sin.f64 x))) (.f64 (.f64 #s(literal 3/4 binary64) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -4/3 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal -4/3 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(/.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))))
(/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 3/4 binary64) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 3/4 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 3/4 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 3/4 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/12230590464 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/110592 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) (.f64 x #s(literal 1/48 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) x) #s(literal 9 binary64)) #s(literal 1/1352605460594688 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) x) #s(literal 6 binary64)) (-.f64 #s(literal 1/12230590464 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 1/48 binary64)) #s(literal 3 binary64))))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) (.f64 x #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal -1/48 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal -1/48 binary64)) #s(literal 1/2304 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal -1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/48 binary64) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2304 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) (*.f64 x #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) (.f64 x #s(literal 1/48 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2304 binary64)) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal -1/48 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) (.f64 x #s(literal 1/48 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/48 binary64) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) x)) (-.f64 #s(literal 1/2304 binary64) (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) (.f64 x #s(literal 1/48 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal -1/480 binary64)) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 4913/524386566144000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592000 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 17/38707200 binary64)))) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64))) (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal -1/480 binary64)) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 4913/524386566144000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592000 binary64))) (pow.f64 (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 17/38707200 binary64)))) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) x #s(literal 1/48 binary64))
(fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 1/48 binary64))
(fma.f64 x (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) #s(literal 1/48 binary64))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) x))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/48 binary64) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal -1/48 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x) #s(literal 1/48 binary64))
(+.f64 #s(literal 1/48 binary64) (.f64 (.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x))

eval270.0ms (2.9%)

Memory: 16.8MiB live, 399.7MiB allocated
Compiler: Compiled 28 505 to 3 730 computations (86.9% saved)

prune290.0ms (3.1%)

Memory

32.4MiB live, 416.3MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1 356	9	1 365
Fresh	8	6	14
Picked	2	3	5
Done	1	1	2
Total	1 367	19	1 386

Accuracy

100.0%

Counts

1 386 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
	49.5%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x)))
✓	49.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	49.3%	(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	99.3%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶	99.8%	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
▶	54.4%	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
	49.4%	(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
	99.1%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
▶	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
▶	54.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
	54.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 3/2 binary64) x)))
	53.7%	(.f64 #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
	53.8%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.7%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
✓	53.8%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	99.4%	#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
✓	54.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

Compiler

Compiled 371 to 292 computations (21.3% saved)

simplify26.0ms (0.3%)

Memory

0.8MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
cost-diff	0	#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
cost-diff	0	#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
cost-diff	0	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
cost-diff	0	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))

Rules

1 356×	`lower-fma.f32`
1 346×	`lower-fma.f64`
486×	`lower-*.f32`
480×	`lower-*.f64`
324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	336
0	81	336
1	122	336
2	177	336
3	375	336
4	832	336
5	1178	336
6	1185	336
7	1186	336
0	1186	318

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 3/4 binary64)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
#s(literal -1/20160 binary64)
(*.f64 x x)
x
#s(literal -1/480 binary64)
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
#s(literal -4/3 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)

Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 3/4 binary64)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
#s(literal -1/20160 binary64)
(*.f64 x x)
x
#s(literal -1/480 binary64)
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
#s(literal -4/3 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)

localize400.0ms (4.3%)

Memory

-24.9MiB live, 509.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0	(cos.f64 x)
accuracy	14.829113121632822	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy	17.432786143714402	(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
accuracy	0.05859375	(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
accuracy	0.42394178070058386	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
accuracy	0.9200988659216482	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
accuracy	29.36936344424038	#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))
accuracy	0.00390625	(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
accuracy	0.42394178070058386	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
accuracy	13.06276688765267	(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
accuracy	29.116872619677217	#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
accuracy	0.046875	(.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
accuracy	0.140625	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
accuracy	29.126251309623864	#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
accuracy	29.408506951582854	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.140625	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))

Samples

120.0ms	74×	2	valid
75.0ms	122×	0	valid
32.0ms	20×	3	valid
28.0ms	40×	1	valid

Compiler

Compiled 243 to 54 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-div: 46.0ms (24.3% of total)

const: 39.0ms (20.6% of total)

ival-mult: 30.0ms (15.8% of total)

adjust: 22.0ms (11.6% of total)

ival-cos: 22.0ms (11.6% of total)

ival-add: 18.0ms (9.5% of total)

ival-tan: 6.0ms (3.2% of total)

ival-sin: 5.0ms (2.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series56.0ms (0.6%)

Memory

-3.4MiB live, 43.9MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) (patch #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) x)) (patch #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) (patch (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)) (patch #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (patch (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) (patch (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)) (patch #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)) (patch #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)) (patch #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)) (patch #s(approx ( (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/20160 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/20160 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 6) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/3 (* -4/3 (cos x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1/20160 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (patch (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (patch (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (patch (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (patch (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

((/ (tan (* 1/2 x)) 3/4) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/ (+ (* -1/8 (* x x)) 3/2) x) (+ (* -1/8 (* x x)) 3/2) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/ (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x) (+ (* -1/20160 (* x x)) -1/480))

4.0ms

-inf

((/ (tan (* 1/2 x)) 3/4) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/ (+ (* -1/8 (* x x)) 3/2) x) (+ (* -1/8 (* x x)) 3/2) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/ (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x) (+ (* -1/20160 (* x x)) -1/480))

2.0ms

((/ (tan (* 1/2 x)) 3/4) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/ (+ (* -1/8 (* x x)) 3/2) x) (+ (* -1/8 (* x x)) 3/2) (/ 1 (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x))) (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/ (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x) (+ (* -1/20160 (* x x)) -1/480))

simplify195.0ms (2.1%)

Memory

10.7MiB live, 211.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 756×	`lower-fma.f64`
15 756×	`lower-fma.f32`
4 678×	`lower-*.f64`
4 678×	`lower-*.f32`
3 916×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	2324
1	683	2324
2	1880	2243
3	4993	2226
0	8151	2035

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* -1/8 (pow x 2)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8)))
(+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
-1/480
(- (* -1/20160 (pow x 2)) 1/480)
(- (* -1/20160 (pow x 2)) 1/480)
(- (* -1/20160 (pow x 2)) 1/480)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -1/8 x)
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -1/20160 (pow x 5))
(* -1 (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* -1/20160 (pow x 6))
(* -1 (* (pow x 6) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(* (pow x 6) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(cos x)
(cos x)
(cos x)
(sin x)
(sin x)
(sin x)
(sin x)
(* -1/20160 (pow x 2))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(* -1/20160 (pow x 5))
(* -1 (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6))))))
(* -1/20160 (pow x 6))
(* -1 (* (pow x 6) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(* (pow x 6) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(cos x)
(cos x)
(cos x)
(sin x)
(sin x)
(sin x)
(sin x)
(* -1/20160 (pow x 2))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))

Outputs
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/48 (pow x 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/20160 binary64) x) x #s(literal -1/480 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64))) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/20160 binary64) x) x #s(literal -1/480 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 3/2 binary64))) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
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(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(* 17/80640 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/80640 binary64))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) #s(literal 17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/80640 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/80640 binary64))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) #s(literal 17/80640 binary64)))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) #s(literal 17/80640 binary64))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) #s(literal 17/80640 binary64))) #s(literal 1/4 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -1/8 x)
(*.f64 #s(literal -1/8 binary64) x)
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/8 binary64) x))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/8 binary64) x))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/8 binary64) x))
(* -1/8 (pow x 2))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -3/8 (/ (sin x) (- (* 1/2 (cos x)) 1/2)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(* -1/20160 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/20160 binary64))
(* -1 (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/480 binary64) (.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/480 binary64) (.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1/20160 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/20160 binary64))
(* -1 (* (pow x 6) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/480 binary64) (.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) x) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)) #s(literal 3/2 binary64))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* -1/20160 (pow x 2))
(.f64 #s(literal -1/20160 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -1/20160 binary64) x) x #s(literal -1/480 binary64))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -1/20160 binary64) x) x #s(literal -1/480 binary64))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -1/20160 binary64) x) x #s(literal -1/480 binary64))

rewrite192.0ms (2.1%)

Memory

8.1MiB live, 193.8MiB allocated

Rules

5 170×	`lower-*.f32`
5 164×	`lower-*.f64`
4 812×	`lower-/.f32`
4 798×	`lower-/.f64`
3 010×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	300
0	81	300
1	320	300
2	2014	300
0	8253	282

Stop Event

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

Counts

20 → 497

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
(sin.f64 x)
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(.f64 #s(literal 4/3 binary64) (pow.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -3/4 binary64))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3/4 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 8/3 binary64) (pow.f64 (pow.f64 #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 8/3 binary64) #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)))
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(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(-.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 4/3 binary64) (.f64 #s(literal -4/3 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -4/3 binary64) (cos.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))))
(+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -4/3 binary64) (cos.f64 x)))
(cos.f64 x)
(sin.f64 x)
(.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)) (pow.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)) (pow.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 1/9676800 binary64)))) (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/230400 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/480 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 1/9676800 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/53084160000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/230400 binary64)) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 1/12230590464000000 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) #s(literal 4 binary64)) (+.f64 #s(literal 1/53084160000 binary64) (.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/230400 binary64)))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 1/12230590464000000 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/110592000 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/550065934462394237235794804736000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/1352605460594688000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/67134099304759689216000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/12230590464000000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/906139986296832000000 binary64)))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/480 binary64))) (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/480 binary64)) #s(literal 1/230400 binary64))) (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/480 binary64)) (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (-.f64 #s(literal 1/230400 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/480 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64))) (neg.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))) (neg.f64 (+.f64 #s(literal 1/230400 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))) (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))
(/.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)) (+.f64 #s(literal 1/230400 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 1/9676800 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 1/9676800 binary64)))) (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (.f64 (.f64 x x) #s(literal 1/9676800 binary64)))) (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))))
(fma.f64 (*.f64 #s(literal -1/20160 binary64) x) x #s(literal -1/480 binary64))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64))
(fma.f64 x (*.f64 #s(literal -1/20160 binary64) x) #s(literal -1/480 binary64))
(-.f64 (/.f64 #s(literal 1/230400 binary64) (-.f64 #s(literal -1/480 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/480 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/480 binary64))) (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(+.f64 (.f64 #s(literal -1/20160 binary64) (.f64 x x)) #s(literal -1/480 binary64))
(+.f64 #s(literal -1/480 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x)))

eval103.0ms (1.1%)

Memory: -22.1MiB live, 261.0MiB allocated
Compiler: Compiled 16 456 to 2 316 computations (85.9% saved)

prune372.0ms (4%)

Memory

-1.4MiB live, 241.7MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	732	4	736
Fresh	4	6	10
Picked	0	5	5
Done	0	4	4
Total	736	19	755

Accuracy

100.0%

Counts

755 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
	49.5%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x)))
✓	49.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	49.3%	(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓	99.8%	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
	99.7%	(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	54.4%	(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
	99.1%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
✓	54.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
	54.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
	2.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
	53.7%	(.f64 #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
	53.8%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.7%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
✓	53.8%	#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	99.4%	#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
✓	54.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

Compiler

Compiled 931 to 384 computations (58.8% saved)

regimes167.0ms (1.8%)

Memory

24.0MiB live, 61.9MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin ( x 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 4/3 binary64)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 4/3 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))

Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))

Calls

2 calls:

149.0ms	x
15.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes51.0ms (0.6%)

Memory

-10.2MiB live, 22.1MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))

Outputs
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))

Calls

2 calls:

44.0ms	x
5.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes12.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))

Calls

2 calls:

5.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
54.4%	1	`x`
54.4%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes39.0ms (0.4%)

Memory

-16.7MiB live, 20.6MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (+ ( -1/2 (cos x)) 1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))

Outputs
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))

Calls

2 calls:

34.0ms	x
4.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
54.4%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
54.4%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -33.6b remaining (-114.5%)

Threshold costs -33.6b (-114.5%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))

Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

Calls

2 calls:

2.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
54.1%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
54.1%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify52.0ms (0.6%)

Memory

-23.2MiB live, 63.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	79
1	56	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3/8 (+ (* (cos x) 1/2) -1/2)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness1.3s (14.1%)

Memory

3.4MiB live, 928.5MiB allocated

Rules

16 762×	`lower-fma.f64`
16 762×	`lower-fma.f32`
14 470×	`lower-fma.f64`
14 470×	`lower-fma.f32`
14 428×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	432
1	250	432
2	591	432
3	1382	432
4	2603	432
5	3609	432
6	4281	432
7	5046	432
8	6163	432
0	8037	408
0	39	152
0	60	143
1	166	143
2	786	140
3	6481	140
0	8215	139
0	11	36
0	19	36
1	34	30
2	115	30
3	628	26
0	4915	26
0	55	300
0	81	300
1	320	300
2	2014	300
0	8253	282
0	246	2188
1	696	2188
2	1786	2185
3	4367	2176
4	6687	2176
0	8347	2004
0	221	1918
1	623	1918
2	1540	1912
3	2847	1912
4	4987	1912
5	5291	1912
6	5722	1912
7	6678	1912
0	8118	1772
0	46	228
0	73	225
1	263	220
2	1650	220
0	8554	217

Stop Event

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

Compiler

Compiled 172 to 128 computations (25.6% saved)

preprocess141.0ms (1.5%)

Memory: -29.4MiB live, 224.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 184 to 144 computations (21.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze228.0ms (2.5%)

sample2.2s (23.3%)

explain187.0ms (2%)

preprocess71.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize39.0ms (0.4%)

series7.0ms (0.1%)

simplify172.0ms (1.9%)

rewrite131.0ms (1.4%)

eval48.0ms (0.5%)

prune70.0ms (0.8%)

simplify187.0ms (2%)

localize173.0ms (1.9%)

series26.0ms (0.3%)

simplify194.0ms (2.1%)

rewrite414.0ms (4.5%)

eval211.0ms (2.3%)

prune155.0ms (1.7%)

simplify319.0ms (3.5%)

localize306.0ms (3.3%)

series29.0ms (0.3%)

simplify244.0ms (2.6%)

rewrite206.0ms (2.2%)

eval270.0ms (2.9%)

prune290.0ms (3.1%)

simplify26.0ms (0.3%)

localize400.0ms (4.3%)

series56.0ms (0.6%)

simplify195.0ms (2.1%)

rewrite192.0ms (2.1%)

eval103.0ms (1.1%)

prune372.0ms (4%)

regimes167.0ms (1.8%)

regimes51.0ms (0.6%)

regimes12.0ms (0.1%)

regimes39.0ms (0.4%)

regimes5.0ms (0.1%)

simplify52.0ms (0.6%)

soundness1.3s (14.1%)

preprocess141.0ms (1.5%)

end0.0ms (0%)

Profiling