Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.2s (28.9%)

Memory

47.8MiB live, 2 047.6MiB allocated; 454ms collecting garbage

Samples

912.0ms	2 252×	2	valid
407.0ms	4 088×	0	valid
371.0ms	716×	3	valid
145.0ms	1 200×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 1.0s (66.8% of total)

adjust: 155.0ms (10.1% of total)

ival-sub: 151.0ms (9.9% of total)

ival-div: 115.0ms (7.5% of total)

ival-mult: 71.0ms (4.6% of total)

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

exact: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain152.0ms (2%)

Memory

9.8MiB live, 160.5MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
77	2	(1.2653068078340836e+221)	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
72	0	-	4	(-1.3181808667853333e-155)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	79	4
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	65	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	65
↳	`(*.f64 x x)`	underflow	65
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	64

Confusion

	Predicted +	Predicted -
+	144	0
-	3	109

Precision

0.9795918367346939

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	144	0	0
-	3	4	105

Precision?

0.9536423841059603

Recall?

1.0

Freqs

test

number	freq
0	109
1	147

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms	144×	2	valid
34.0ms	58×	3	valid
23.0ms	246×	0	valid
7.0ms	64×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-cos: 44.0ms (61.6% of total)

adjust: 10.0ms (14% of total)

ival-div: 6.0ms (8.4% of total)

ival-sub: 6.0ms (8.4% of total)

ival-mult: 4.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess142.0ms (1.9%)

Memory

-2.4MiB live, 134.9MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	35	17
2	100	17
3	157	17
4	228	17
5	307	17
6	541	17
7	1187	17
8	2538	17
9	5009	17
0	6	8
0	10	8
1	27	8
2	62	8
3	108	8
4	154	8
5	208	8
6	294	8
7	528	8
8	1173	8
9	2520	8
10	4972	8
0	8040	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify665.0ms (8.9%)

Memory

-23.9MiB live, 195.5MiB allocated; 1.1s collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	27	19
2	62	19
3	108	19
4	154	19
5	208	19
6	294	19
7	528	19
8	1173	19
9	2520	19
10	4972	19
0	8040	19

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (1.2%)

Memory

5.5MiB live, 76.0MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(cos.f64 x)
accuracy	15.579177324708356	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.585159526904818	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

33.0ms	29×	3	valid
20.0ms	72×	2	valid
10.0ms	123×	0	valid
4.0ms	32×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-cos: 21.0ms (61.7% of total)

adjust: 5.0ms (14.7% of total)

ival-div: 3.0ms (8.8% of total)

ival-sub: 3.0ms (8.8% of total)

ival-mult: 2.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

4 → 16

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 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)))
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))
1.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))
1.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))

simplify170.0ms (2.3%)

Memory

-9.3MiB live, 176.4MiB allocated; 59ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 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)))
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite101.0ms (1.3%)

Memory

19.3MiB live, 107.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17

Stop Event

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

Counts

4 → 132

Calls

Call 1

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

Outputs
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (.f64 x (neg.f64 (cos.f64 x)))) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
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(pow.f64 x #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
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(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval58.0ms (0.8%)

Memory: -11.1MiB live, 52.5MiB allocated; 31ms collecting garbage
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune20.0ms (0.3%)

Memory

-1.6MiB live, 43.3MiB allocated; 7ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	126	22	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	23	149

Accuracy

100.0%

Counts

149 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	23.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	48.0%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) (.f64 x x))
▶	49.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	16.5%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	47.9%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
	17.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
	12.9%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	48.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
✓	48.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	46.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	3.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
	26.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	73.0%	(/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))
	73.5%	(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
▶	27.8%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
	48.7%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	13.0%	(-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
▶	73.5%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	54.2%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 818 to 494 computations (39.6% saved)

simplify139.0ms (1.9%)

Memory

-2.6MiB live, 141.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	1	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	1	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
cost-diff	0	(.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
cost-diff	1	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	2	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	277
0	61	276
1	112	276
2	280	269
3	964	269
4	3547	269
5	7136	269
0	8253	265

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
x
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/40320 binary64)
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)

Outputs
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(fma.f64 (cos.f64 x) x x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64))
(.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x)
x
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/40320 binary64)
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(fma.f64 (cos.f64 x) x x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)

localize199.0ms (2.7%)

Memory

-2.8MiB live, 231.2MiB allocated; 43ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.109375	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.234375	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.29265734769194657	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	16.47128801202866	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
accuracy	0.3046875	(*.f64 #s(literal 1/720 binary64) x)
accuracy	15.777213707302993	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
accuracy	16.585159526904818	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
accuracy	29.619833736377753	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
accuracy	0.00390625	(cos.f64 x)
accuracy	0.08984375	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy	15.579177324708356	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.643484231956077	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	29.311805438224418	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.109375	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.171875	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
accuracy	0.29265734769194657	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	16.07872423069989	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))

Samples

66.0ms	72×	2	valid
48.0ms	123×	0	valid
27.0ms	26×	3	valid
18.0ms	34×	1	valid
2.0ms	1×	4	valid

Compiler

Compiled 249 to 35 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 28.0ms (21.5% of total)

adjust: 21.0ms (16.1% of total)

ival-cos: 21.0ms (16.1% of total)

ival-div: 19.0ms (14.6% of total)

ival-sin: 13.0ms (10% of total)

const: 11.0ms (8.4% of total)

ival-add: 8.0ms (6.1% of total)

ival-pow2: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.3% of total)

ival-pow: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series12.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

18 → 64

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(*.f64 #s(literal 1/720 binary64) x)

Outputs
(/ 1/2 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))))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
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))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 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)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 1/720 x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 7))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(pow (sin x) 2)
(+ 1 (cos x))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x))
4.0ms	x	@	inf	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x))
2.0ms	x	@	0	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x))

Time

Variable

Point

Expression

5.0ms

-inf

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x))

4.0ms

inf

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x))

2.0ms

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x))

simplify141.0ms (1.9%)

Memory

-1.7MiB live, 140.9MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	703
1	484	703
2	1350	686
3	4637	685
0	8115	645

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

Inputs
(/ 1/2 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))))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
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))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 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)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 1/720 x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 7))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(pow (sin x) 2)
(+ 1 (cos x))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))

Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/.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)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(/.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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 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) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) x x)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* -1/40320 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/40320 binary64))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(* -1/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/40320 binary64))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(* -1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))

rewrite267.0ms (3.6%)

Memory

-32.4MiB live, 213.7MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	190
0	61	194
1	199	179
2	1270	176
0	8265	176

Stop Event

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

Counts

18 → 619

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(*.f64 #s(literal 1/720 binary64) x)

Outputs
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (.f64 (neg.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (.f64 (neg.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(neg.f64 (/.f64 (sin.f64 x) (.f64 (neg.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) (.f64 (cos.f64 x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (cos.f64 x) x) (.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (cos.f64 x)) (.f64 x (cos.f64 x)))) (-.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 x)) (.f64 x (cos.f64 x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (cos.f64 x)) (.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (cos.f64 x) x) (.f64 (cos.f64 x) x))) (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (cos.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) x) (.f64 (cos.f64 x) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (cos.f64 x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (cos.f64 x)) (.f64 x (cos.f64 x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (cos.f64 x)) (.f64 x (cos.f64 x)) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (cos.f64 x)) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (cos.f64 x) x) (.f64 (cos.f64 x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (cos.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (cos.f64 x)))
(fma.f64 x (cos.f64 x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 x) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (cos.f64 x)))
(+.f64 (.f64 x (cos.f64 x)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (cos.f64 x) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 x))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(.f64 (/.f64 (sin.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (sin.f64 x) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
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(fma.f64 (.f64 #s(literal 1/720 binary64) x) x (+.f64 #s(literal -1/24 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/720 binary64) (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(fma.f64 x (fabs.f64 (.f64 #s(literal 1/720 binary64) x)) (+.f64 #s(literal -1/24 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x (.f64 #s(literal 1/720 binary64) x) (+.f64 #s(literal -1/24 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/24 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))
(-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/40320 binary64)))
(-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/24 binary64))))) (/.f64 #s(literal -1/13824 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/24 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))) (/.f64 (.f64 #s(literal -1/65548320768000 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal -1/65548320768000 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))))
(+.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (.f64 #s(literal -1/65548320768000 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(+.f64 (/.f64 (.f64 #s(literal -1/65548320768000 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(+.f64 (/.f64 (.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (-.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))
(+.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/24 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(+.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal -1/24 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))

eval93.0ms (1.2%)

Memory: 17.3MiB live, 156.4MiB allocated; 63ms collecting garbage
Compiler: Compiled 18 464 to 2 675 computations (85.5% saved)

prune30.0ms (0.4%)

Memory

33.1MiB live, 78.5MiB allocated; 15ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	625	15	640
Fresh	9	8	17
Picked	3	2	5
Done	0	1	1
Total	637	26	663

Accuracy

100.0%

Counts

663 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)
	23.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	47.9%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	49.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	28.4%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
	49.4%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
▶	47.9%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
	16.5%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	47.9%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
	12.9%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
✓	48.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	26.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	99.8%	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
	54.3%	(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
	27.8%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
▶	28.0%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
	48.0%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
	47.6%	(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
	73.7%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
▶	99.8%	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
	73.7%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	54.9%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
▶	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	54.2%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 854 to 546 computations (36.1% saved)

simplify165.0ms (2.2%)

Memory

-1.8MiB live, 232.1MiB allocated; 93ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	2	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x))
cost-diff	2	(-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x)))
cost-diff	4	(/.f64 (.f64 x (cos.f64 x)) (.f64 x x))
cost-diff	0	(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	4	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 (.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 x #s(literal 2 binary64))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
cost-diff	0	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	391
0	74	367
1	151	355
2	496	345
3	1921	345
4	5047	345
0	8109	331

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64))
(.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))))
x
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
(-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
#s(literal 1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x x)
(/.f64 (.f64 x (cos.f64 x)) (.f64 x x))
(*.f64 x (cos.f64 x))
(cos.f64 x)

Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
(.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (fma.f64 (.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))))
(.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) x)
x
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
(-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/720 binary64) x) x)
#s(literal 1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
x
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
x
(*.f64 x x)
(/.f64 (.f64 x (cos.f64 x)) (.f64 x x))
(/.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)

localize266.0ms (3.6%)

Memory

-33.3MiB live, 315.9MiB allocated; 87ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(*.f64 x (cos.f64 x))
accuracy	30.556497442867865	(/.f64 (.f64 x (cos.f64 x)) (.f64 x x))
accuracy	30.55767261876327	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x))
accuracy	31.71094274248684	(-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x)))
accuracy	0.08984375	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
accuracy	0.15234375	(*.f64 x (cos.f64 x))
accuracy	9.729500068587862	(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
accuracy	37.47886695404582	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
accuracy	0.359367310597149	(.f64 #s(literal 1/720 binary64) (.f64 x x))
accuracy	16.585159526904818	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
accuracy	29.619833736377753	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
accuracy	30.03690912473456	#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.046875	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy	29.695819558764043	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
accuracy	0.00390625	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.10546875	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
accuracy	0.11328125	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
accuracy	0.125	(/.f64 (sin.f64 x) x)

Samples

95.0ms	64×	2	valid
71.0ms	122×	0	valid
59.0ms	69×	1	valid
2.0ms	1×	3	valid

Compiler

Compiled 288 to 45 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-add: 39.0ms (21.1% of total)

adjust: 30.0ms (16.2% of total)

ival-mult: 25.0ms (13.5% of total)

ival-cos: 25.0ms (13.5% of total)

ival-div: 21.0ms (11.4% of total)

const: 15.0ms (8.1% of total)

ival-sub: 8.0ms (4.3% of total)

ival-pow: 8.0ms (4.3% of total)

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

ival-sin: 5.0ms (2.7% of total)

exact: 1.0ms (0.5% of total)

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

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

series16.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

22 → 68

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
(*.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
(/.f64 (.f64 x (cos.f64 x)) (.f64 x x))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x))
(/.f64 (sin.f64 x) x)
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(*.f64 x (cos.f64 x))

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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))))))))
(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))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
x
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 1/720 (pow x 2))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(- 1 (cos x))
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 7))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(/ (- 1 (cos x)) x)
(* x (- 1 (cos x)))
(/ (cos x) x)
(/ (sin x) x)
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* x (cos x))
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* x (+ 1 (* -1 (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (* 1 x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (- (* 1 x) (* x (cos x))) (/ (* x (cos x)) (* x x)) (- (/ (* 1 x) (* x x)) (/ (* x (cos x)) (* x x))) (/ (* 1 x) (* x x)) (/ (sin x) x) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 (* x x)) (* x (cos x)))

4.0ms

inf

((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (* 1 x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (- (* 1 x) (* x (cos x))) (/ (* x (cos x)) (* x x)) (- (/ (* 1 x) (* x x)) (/ (* x (cos x)) (* x x))) (/ (* 1 x) (* x x)) (/ (sin x) x) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 (* x x)) (* x (cos x)))

2.0ms

((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) x) (* (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (* 1 x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (- (* 1 x) (* x (cos x))) (/ (* x (cos x)) (* x x)) (- (/ (* 1 x) (* x x)) (/ (* x (cos x)) (* x x))) (/ (* 1 x) (* x x)) (/ (sin x) x) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 (* x x)) (* x (cos x)))

simplify143.0ms (1.9%)

Memory

-5.1MiB live, 139.0MiB allocated; 57ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	754
1	466	748
2	1304	748
3	5030	745
0	8132	704

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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))))))))
(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))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
x
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 1/720 (pow x 2))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(- 1 (cos x))
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 7))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(/ (- 1 (cos x)) x)
(* x (- 1 (cos x)))
(/ (cos x) x)
(/ (sin x) x)
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* x (cos x))
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* x (+ 1 (* -1 (cos x))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(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))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(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))
(* 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)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
x
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) 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 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1/40320 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/40320 binary64))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(* -1/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/40320 binary64))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* -1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/40320 binary64)) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/40320 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/720 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (+ 1 (* -1 (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)

rewrite231.0ms (3.1%)

Memory

-2.7MiB live, 229.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	282
0	72	265
1	294	245
2	2164	245
0	8168	235

Stop Event

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

Counts

22 → 1 087

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
(*.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
(/.f64 (.f64 x (cos.f64 x)) (.f64 x x))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x))
(/.f64 (sin.f64 x) x)
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(*.f64 x (cos.f64 x))

Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) x))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) x) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 x)))
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(fma.f64 x (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 x) x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 x) x) x)))
(*.f64 (fabs.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (fabs.f64 (/.f64 x (neg.f64 x))))
(*.f64 (fabs.f64 (/.f64 x (neg.f64 x))) (fabs.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 x (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 x (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (/.f64 x (neg.f64 x))) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 x (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 x (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (/.f64 x (*.f64 (neg.f64 x) x)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/720 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/720 binary64) x)) x)
(.f64 (.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/720 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/720 binary64) x) x)
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/720 binary64) x) x))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/720 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/720 binary64) x)))
(.f64 x (.f64 #s(literal 1/720 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x)))
(fabs.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x))
(.f64 (.f64 (cos.f64 x) x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) x)
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) x))
(*.f64 x (cos.f64 x))

eval118.0ms (1.6%)

Memory: 8.7MiB live, 199.4MiB allocated; 39ms collecting garbage
Compiler: Compiled 21 012 to 3 013 computations (85.7% saved)

prune35.0ms (0.5%)

Memory

2.2MiB live, 90.4MiB allocated; 16ms collecting garbage

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	839	15	854
Fresh	10	8	18
Picked	3	2	5
Done	0	3	3
Total	852	28	880

Accuracy

100.0%

Counts

880 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)) x)
	74.2%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) x)
	49.5%	(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (neg.f64 x)) (neg.f64 x)) x)
▶	47.9%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	49.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	28.9%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
	28.4%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
	27.1%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x)
	48.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
	9.9%	(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x x)))
▶	11.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (cos.f64 x) x))) (*.f64 x x))
✓	48.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	26.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	99.8%	(/.f64 (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x)
	40.5%	(/.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (*.f64 (neg.f64 x) x) x))
	54.3%	(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
	27.8%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
✓	28.0%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
	48.0%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
	48.2%	(*.f64 (/.f64 (tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) x) (/.f64 (sin.f64 x) x))
▶	99.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
	73.7%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
	54.9%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	54.2%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 926 to 580 computations (37.4% saved)

simplify94.0ms (1.3%)

Memory

-22.6MiB live, 131.6MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 x) x) x))
cost-diff	3	(-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x))))
cost-diff	4	(.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	5	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
cost-diff	0	(*.f64 (cos.f64 x) x)
cost-diff	0	(-.f64 x (*.f64 (cos.f64 x) x))
cost-diff	0	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
cost-diff	3	(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
cost-diff	0	(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x)
cost-diff	0	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
cost-diff	0	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	403
0	81	382
1	166	369
2	608	360
3	3106	357
0	8211	342

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x)
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))
(.f64 (.f64 #s(literal 1/720 binary64) x) x)
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))
(-.f64 x (*.f64 (cos.f64 x) x))
x
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 x) x) x))
#s(literal 1 binary64)
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(.f64 (.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x)))
(*.f64 x x)
(*.f64 (neg.f64 x) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x))

Outputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.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)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) (*.f64 x x))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x)
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))
(.f64 (.f64 #s(literal 1/720 binary64) x) x)
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
x
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) x) x)
(-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 x) x) x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(.f64 (.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))
(*.f64 x x)
(*.f64 (neg.f64 x) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x))
(pow.f64 (neg.f64 x) #s(literal 5 binary64))

localize320.0ms (4.3%)

Memory

34.0MiB live, 267.6MiB allocated; 51ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	0.15234375	(*.f64 (neg.f64 x) (cos.f64 x))
accuracy	17.86568153836665	(-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x))))
accuracy	49.24148978465903	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
accuracy	0.08984375	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
accuracy	0.15234375	(*.f64 (cos.f64 x) x)
accuracy	9.729500068587862	(-.f64 x (*.f64 (cos.f64 x) x))
accuracy	37.47886695404582	(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))
accuracy	0.3046875	(*.f64 #s(literal 1/720 binary64) x)
accuracy	15.643484231956077	(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x)
accuracy	29.619833736377753	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
accuracy	30.03690912473456	#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	15.579177324708356	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	16.585159526904818	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	27.051289874151557	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.00390625	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.10546875	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
accuracy	0.11328125	(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
accuracy	0.125	(/.f64 (sin.f64 x) x)

Samples

126.0ms	72×	2	valid
84.0ms	122×	0	valid
52.0ms	28×	3	valid
22.0ms	33×	1	valid
2.0ms	1×	4	valid

Compiler

Compiled 284 to 45 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 252.0ms

adjust: 74.0ms (29.3% of total)

ival-mult: 40.0ms (15.8% of total)

ival-sin: 40.0ms (15.8% of total)

ival-div: 37.0ms (14.7% of total)

ival-cos: 23.0ms (9.1% of total)

const: 15.0ms (5.9% of total)

ival-sub: 9.0ms (3.6% of total)

ival-tan: 6.0ms (2.4% of total)

ival-add: 5.0ms (2% of total)

ival-pow: 3.0ms (1.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory

-35.0MiB live, 22.9MiB allocated; 19ms collecting garbage

Counts

24 → 71

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x)
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x))
(-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (sin.f64 x) x)
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 (neg.f64 x) (cos.f64 x))

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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 (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)))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 (pow x 5))
(* -1/2 (pow x 5))
(* (pow x 5) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 1/720 x)
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) x)
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* x (- 1 (cos x)))
(* x (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 3) (+ 1 (* -1 (cos x)))))
(/ (sin x) x)
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (* x (cos x)))
(/ (+ 1 (* -1 (cos x))) x)
(* x (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 3) (- 1 (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

19.0ms

inf

((* (/ (tan (* x 1/2)) x) (/ (sin x) x)) (/ (tan (* x 1/2)) x) (tan (* x 1/2)) (* x 1/2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* x x)) 1/2) (* x x)) (/ (- x (* (cos x) x)) (* x x)) (/ (/ (- x (* (cos x) x)) (* x x)) x) (- x (* (cos x) x)) (* (cos x) x) (/ (- (* 1 (* (* (neg x) x) x)) (* (* x x) (* (neg x) (cos x)))) (* (* x x) (* (* (neg x) x) x))) (* (* x x) (* (* (neg x) x) x)) (- (* 1 (* (* (neg x) x) x)) (* (* x x) (* (neg x) (cos x)))) (* 1 (* (* (neg x) x) x)) (/ (sin x) x) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x) (* (neg x) (cos x)))

5.0ms

-inf

((* (/ (tan (* x 1/2)) x) (/ (sin x) x)) (/ (tan (* x 1/2)) x) (tan (* x 1/2)) (* x 1/2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* x x)) 1/2) (* x x)) (/ (- x (* (cos x) x)) (* x x)) (/ (/ (- x (* (cos x) x)) (* x x)) x) (- x (* (cos x) x)) (* (cos x) x) (/ (- (* 1 (* (* (neg x) x) x)) (* (* x x) (* (neg x) (cos x)))) (* (* x x) (* (* (neg x) x) x))) (* (* x x) (* (* (neg x) x) x)) (- (* 1 (* (* (neg x) x) x)) (* (* x x) (* (neg x) (cos x)))) (* 1 (* (* (neg x) x) x)) (/ (sin x) x) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x) (* (neg x) (cos x)))

3.0ms

((* (/ (tan (* x 1/2)) x) (/ (sin x) x)) (/ (tan (* x 1/2)) x) (tan (* x 1/2)) (* x 1/2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* x x)) 1/2) (* x x)) (/ (- x (* (cos x) x)) (* x x)) (/ (/ (- x (* (cos x) x)) (* x x)) x) (- x (* (cos x) x)) (* (cos x) x) (/ (- (* 1 (* (* (neg x) x) x)) (* (* x x) (* (neg x) (cos x)))) (* (* x x) (* (* (neg x) x) x))) (* (* x x) (* (* (neg x) x) x)) (- (* 1 (* (* (neg x) x) x)) (* (* x x) (* (neg x) (cos x)))) (* 1 (* (* (neg x) x) x)) (/ (sin x) x) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* 1/720 x) (* (neg x) (cos x)))

simplify200.0ms (2.7%)

Memory

31.4MiB live, 166.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	751
1	477	743
2	1326	741
3	3221	741
4	7377	741
0	8573	695

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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 (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)))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 (pow x 5))
(* -1/2 (pow x 5))
(* (pow x 5) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 1/720 x)
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) x)
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* x (- 1 (cos x)))
(* x (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 3) (+ 1 (* -1 (cos x)))))
(/ (sin x) x)
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1 (* x (cos x)))
(/ (+ 1 (* -1 (cos x))) x)
(* x (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 3) (- 1 (cos x))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(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))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(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))
(* 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 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) x)
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(* (pow x 5) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 5) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 5) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) 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 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1/40320 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/40320 binary64))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* x (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (cos x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* -1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (cos x)))
(*.f64 (neg.f64 x) (cos.f64 x))
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (+ 1 (* -1 (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (* (pow x 3) (- 1 (cos x))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64)))

rewrite203.0ms (2.7%)

Memory

-5.5MiB live, 182.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	318
0	81	297
1	293	282
2	2075	280
0	8289	270

Stop Event

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

Counts

24 → 617

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x)
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x))
(-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (sin.f64 x) x)
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 (neg.f64 x) (cos.f64 x))

Outputs
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 (neg.f64 x)) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (neg.f64 (sin.f64 x)))) (*.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (.f64 (+.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) (/.f64 (sin.f64 x) x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))) x))
(/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (/.f64 (sin.f64 x) x)) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) x))
(/.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (neg.f64 (neg.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
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(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (cos.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (cos.f64 x) x) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) x) x (.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(fma.f64 (.f64 (neg.f64 x) x) x (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) x) x (neg.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(fma.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 (neg.f64 x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) x) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 x) x) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(fma.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (.f64 x x) (.f64 (.f64 (cos.f64 x) x) (.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 x x) (.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(fma.f64 (neg.f64 x) (.f64 x x) (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 x x) (neg.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(fma.f64 (.f64 x x) (neg.f64 x) (.f64 (.f64 (cos.f64 x) x) (.f64 x x)))
(fma.f64 (.f64 x x) (neg.f64 x) (.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(fma.f64 (.f64 x x) (neg.f64 x) (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)))
(fma.f64 (.f64 x x) (neg.f64 x) (neg.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (cos.f64 x) x) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(fma.f64 x (.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fma.f64 x (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) (.f64 x x)))
(fma.f64 x (.f64 (neg.f64 x) x) (.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(fma.f64 x (.f64 (neg.f64 x) x) (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)))
(fma.f64 x (.f64 (neg.f64 x) x) (neg.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 6 binary64)))))
(-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x)))
(+.f64 (neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (cos.f64 x) x) (*.f64 x x)))
(+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (cos.f64 x)))
(+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)))
(+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (cos.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (.f64 x x))
(.f64 (.f64 x x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 x (.f64 (neg.f64 x) x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))
(*.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 (neg.f64 x) (cos.f64 x))
(*.f64 (cos.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (cos.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) x))

eval122.0ms (1.6%)

Memory: 7.5MiB live, 150.4MiB allocated; 31ms collecting garbage
Compiler: Compiled 16 610 to 2 073 computations (87.5% saved)

prune66.0ms (0.9%)

Memory

2.8MiB live, 48.6MiB allocated; 3ms collecting garbage

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	632	5	637
Fresh	3	15	18
Picked	1	4	5
Done	0	5	5
Total	636	29	665

Accuracy

100.0%

Counts

665 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.4%	(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (cos.f64 x) x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
	48.3%	(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)) x)
	74.2%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) x)
	49.5%	(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
✓	47.9%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
	48.0%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
✓	49.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	28.9%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
	28.4%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
	27.1%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x)
	48.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
	9.9%	(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x x)))
✓	48.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	26.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	99.8%	(/.f64 (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x)
	11.2%	(/.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) x)))
	40.5%	(/.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (*.f64 (neg.f64 x) x) x))
	54.3%	(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
	27.8%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
✓	28.0%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
	48.0%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
	48.2%	(*.f64 (/.f64 (tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) x) (/.f64 (sin.f64 x) x))
✓	99.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
	73.7%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
	54.9%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	53.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	54.2%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 556 to 595 computations (61.8% saved)

regimes50.0ms (0.7%)

Memory

-43.0MiB live, 20.5MiB allocated; 6ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (neg.f64 x)) (neg.f64 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)) x)
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (cos.f64 x) x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (cos.f64 x) x))) (*.f64 x x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x)
(*.f64 (/.f64 (tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) x)
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)
(-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) (.f64 x x))

Outputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))

Calls

2 calls:

36.0ms	x
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes20.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Counts

39 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (neg.f64 x)) (neg.f64 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)) x)
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (cos.f64 x) x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (cos.f64 x) x))) (*.f64 x x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))

(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

2 calls:

10.0ms	x
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.5%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-35.6MiB live, 9.5MiB allocated; 4ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(approx (+ ( (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
54.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
78.8%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) x)

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

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

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
78.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.8b remaining (-2.6%)

Threshold costs -0.8b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
54.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
54.2%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch14.0ms (0.2%)

Memory

-20.6MiB live, 22.1MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.05035144917471394	0.340151782228307

Samples

8.0ms

96×

valid

Compiler

Compiled 209 to 166 computations (20.6% saved)

Precisions

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

ival-sub: 1.0ms (34% of total)

ival-div: 1.0ms (34% of total)

ival-cos: 1.0ms (34% of total)

ival-mult: 1.0ms (34% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.015448274921091533	0.05035144917471394

Samples

4.0ms

80×

valid

Compiler

Compiled 151 to 120 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-cos: 1.0ms (42% of total)

ival-mult: 1.0ms (42% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.015448274921091533	0.05035144917471394

Compiler

Compiled 151 to 120 computations (20.5% saved)

bsearch16.0ms (0.2%)

Memory

-18.9MiB live, 25.1MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.3418914412979264e+38	2.13869334824497e+40

Samples

10.0ms

112×

valid

Compiler

Compiled 305 to 213 computations (30.2% saved)

Precisions

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

ival-cos: 4.0ms (66.5% of total)

ival-sub: 1.0ms (16.6% of total)

ival-div: 1.0ms (16.6% of total)

ival-mult: 1.0ms (16.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3418914412979264e+38	2.13869334824497e+40

Compiler

Compiled 221 to 171 computations (22.6% saved)

bsearch16.0ms (0.2%)

Memory

33.5MiB live, 33.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.340151782228307	3136.9141830554227

Samples

9.0ms

128×

valid

Compiler

Compiled 211 to 170 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 4.0ms (60.2% of total)

ival-sub: 1.0ms (15.1% of total)

ival-div: 1.0ms (15.1% of total)

ival-mult: 1.0ms (15.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify67.0ms (0.9%)

Memory

-50.3MiB live, 55.6MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	229
1	93	227
2	157	225
3	251	225
4	672	225
5	3248	225
6	6089	225

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 480000000000000034529005388137557393408 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x))
(if (<=.f64 x #s(literal 480000000000000034529005388137557393408 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 480000000000000034529005388137557393408 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(approx (/ (* x (cos x)) (* x x)) (/.f64 #s(literal 1 binary64) x))) x))
(if (<=.f64 x #s(literal 480000000000000034529005388137557393408 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 x (.f64 x x)) #s(approx (/ ( x (cos x)) (* x x)) (pow.f64 x #s(literal -1 binary64)))) x))
(if (<=.f64 x #s(literal 480000000000000034529005388137557393408 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

derivations756.0ms (10.1%)

Memory

8.7MiB live, 575.8MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	754
1	466	748
2	1304	748
3	5030	745
0	8132	704
0	46	282
0	72	265
1	294	245
2	2164	245
0	8168	235
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17
0	36	190
0	61	194
1	199	179
2	1270	176
0	8265	176
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135

Stop Event

1×	fuel
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 229 to 61 computations (73.4% saved)

preprocess45.0ms (0.6%)

Memory: 43.4MiB live, 88.2MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 496 to 150 computations (69.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.2s (28.9%)

explain152.0ms (2%)

preprocess142.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify665.0ms (8.9%)

localize91.0ms (1.2%)

series3.0ms (0%)

simplify170.0ms (2.3%)

rewrite101.0ms (1.3%)

eval58.0ms (0.8%)

prune20.0ms (0.3%)

simplify139.0ms (1.9%)

localize199.0ms (2.7%)

series12.0ms (0.2%)

simplify141.0ms (1.9%)

rewrite267.0ms (3.6%)

eval93.0ms (1.2%)

prune30.0ms (0.4%)

simplify165.0ms (2.2%)

localize266.0ms (3.6%)

series16.0ms (0.2%)

simplify143.0ms (1.9%)

rewrite231.0ms (3.1%)

eval118.0ms (1.6%)

prune35.0ms (0.5%)

simplify94.0ms (1.3%)

localize320.0ms (4.3%)

series28.0ms (0.4%)

simplify200.0ms (2.7%)

rewrite203.0ms (2.7%)

eval122.0ms (1.6%)

prune66.0ms (0.9%)

regimes50.0ms (0.7%)

regimes20.0ms (0.3%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch14.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

simplify67.0ms (0.9%)

derivations756.0ms (10.1%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling