Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
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 (29.9%)

Memory

78.3MiB live, 2 083.0MiB allocated

Samples

1.0s	2 217×	2	valid
432.0ms	4 204×	0	valid
291.0ms	626×	3	valid
159.0ms	1 209×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-cos: 1.1s (67.9% of total)

adjust: 219.0ms (13.8% of total)

ival-sub: 102.0ms (6.4% of total)

ival-div: 101.0ms (6.3% of total)

ival-mult: 75.0ms (4.7% of total)

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

exact: 5.0ms (0.3% of total)

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

Bogosity

explain154.0ms (2.1%)

Memory

-18.2MiB live, 170.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
73	2	(-3.8539106419630134e-162)	1	(8.804686683785807e+111)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
68	0	-	4	(4.716815653612914e-160)	`(/.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	74	2
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	64	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	64
↳	`(*.f64 x x)`	underflow	64

Confusion

	Predicted +	Predicted -
+	135	1
-	3	117

Precision

0.9782608695652174

Recall

0.9926470588235294

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	1	0
-	3	1	116

Precision?

0.9714285714285714

Recall?

1.0

Freqs

test

number	freq
0	118
1	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms	154×	2	valid
20.0ms	248×	0	valid
14.0ms	38×	3	valid
9.0ms	72×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-cos: 42.0ms (62.3% of total)

adjust: 9.0ms (13.4% of total)

ival-div: 6.0ms (8.9% of total)

ival-sub: 5.0ms (7.4% of total)

ival-mult: 4.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess140.0ms (1.9%)

Memory

-2.6MiB live, 138.8MiB allocated

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
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify111.0ms (1.5%)

Memory

18.9MiB live, 112.5MiB allocated

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)

localize79.0ms (1.1%)

Memory

13.2MiB live, 58.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	15.627189607322054	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.979203791155665	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

51.0ms	77×	2	valid
10.0ms	124×	0	valid
7.0ms	19×	3	valid
4.0ms	36×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-cos: 51.0ms (80.3% of total)

adjust: 5.0ms (7.9% of total)

ival-div: 3.0ms (4.7% of total)

ival-sub: 3.0ms (4.7% of total)

ival-mult: 2.0ms (3.1% 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

3.5MiB live, 3.5MiB allocated

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))

simplify162.0ms (2.3%)

Memory

-18.9MiB live, 124.8MiB allocated

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)

rewrite98.0ms (1.4%)

Memory

0.5MiB live, 88.1MiB allocated

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

eval17.0ms (0.2%)

Memory: -7.5MiB live, 37.4MiB allocated
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune12.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	131	17	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	18	149

Accuracy

100.0%

Counts

149 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	24.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	17.0%	(/.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)))
▶	14.2%	(/.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)))
	49.1%	(/.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))
✓	49.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	47.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
▶	2.3%	(/.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))
	26.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	74.6%	(/.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)))
	49.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	74.6%	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	74.6%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
	52.5%	#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)))
	53.2%	#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)))
	52.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 544 to 352 computations (35.3% saved)

simplify85.0ms (1.2%)

Memory

-4.3MiB live, 94.8MiB allocated

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	1	(.f64 #s(literal -1 binary64) (.f64 x x))
cost-diff	4	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
cost-diff	4	(-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)))
cost-diff	5	(/.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)))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(-.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))))
cost-diff	0	(/.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))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff	1	(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
cost-diff	3	(/.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	285
0	66	284
1	143	274
2	593	258
3	3256	254
0	8220	252

Stop Event

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

Calls

Call 1

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

localize216.0ms (3%)

Memory

24.7MiB live, 299.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.109375	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.201503759768442	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.3787699183345814	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.716820634908771	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
accuracy	0.05859375	(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
accuracy	0.12109375	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	14.777660362034915	(-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)))
accuracy	46.46326353848564	(/.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)))
accuracy	0.1875	(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
accuracy	15.627189607322054	(-.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))))
accuracy	15.979203791155665	(/.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))
accuracy	29.950897508305843	#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)))
accuracy	29.690657020289894	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.08203125	(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
accuracy	0.201503759768442	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.3787699183345814	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.716820634908771	(/.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)))

Samples

70.0ms	77×	2	valid
53.0ms	124×	0	valid
24.0ms	36×	1	valid
21.0ms	19×	3	valid

Compiler

Compiled 241 to 37 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 39.0ms (28.2% of total)

ival-cos: 23.0ms (16.6% of total)

adjust: 20.0ms (14.4% of total)

ival-sin: 16.0ms (11.5% of total)

ival-div: 12.0ms (8.7% of total)

const: 8.0ms (5.8% of total)

ival-add: 8.0ms (5.8% of total)

ival-sub: 5.0ms (3.6% of total)

ival-pow2: 5.0ms (3.6% of total)

ival-neg: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series19.0ms (0.3%)

Memory

-36.2MiB live, 16.9MiB allocated

Counts

19 → 66

Calls

Call 1

Inputs
(/.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 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.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 #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))))
#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)))
(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 (-.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 #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 #s(literal -1 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 (cos.f64 x) #s(literal 1 binary64)) x)
(sin.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(.f64 (.f64 (neg.f64 x) 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)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(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))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 4))
(* 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))))
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))))
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 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(* -1 (* (pow x 2) (+ 1 (cos x))))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* x (+ 1 (cos x)))
(sin x)
(+ 1 (cos x))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (* (+ (* -1/720 (* x x)) 1/24) x) (* (* (neg x) x) (cos x)))
6.0ms	x	@	inf	((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (* (+ (* -1/720 (* x x)) 1/24) x) (* (* (neg x) x) (cos x)))
5.0ms	x	@	-inf	((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (* (+ (* -1/720 (* x x)) 1/24) x) (* (* (neg x) x) (cos x)))

Time

Variable

Point

Expression

7.0ms

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

6.0ms

inf

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

5.0ms

-inf

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

simplify106.0ms (1.5%)

Memory

10.3MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	724
1	481	717
2	1409	708
3	3600	702
0	8258	663

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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

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 #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))
(* -2 (pow x 2))
(.f64 (.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/315 binary64) (.f64 x x)) #s(literal 2/45 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 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))
(* 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 (.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 #s(literal 1/24 binary64) (.f64 x x)) #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 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 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 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (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))))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* 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 #s(literal 1/24 binary64) (.f64 x x)) #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 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
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)
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 #s(literal 1/24 binary64) (.f64 x x)) #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 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (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 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x x))
(* (pow x 2) (- (* (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 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x x))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(* -1 (* (pow x 2) (+ 1 (cos x))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* -1 (pow (sin x) 2))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/ (- 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)
(* -1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) x x)
(sin x)
(sin.f64 x)
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)))
(* -1 (* (pow x 2) (cos x)))
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite221.0ms (3.1%)

Memory

26.0MiB live, 248.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	212
0	66	205
1	251	179
2	1851	177
0	9072	175

Stop Event

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

Counts

19 → 1 325

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (/.f64 (sin.f64 x) x))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 x x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (*.f64 x x)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x)))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))))) (neg.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) (neg.f64 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))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (.f64 x (/.f64 (cos.f64 x) (neg.f64 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)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x)) (*.f64 (cos.f64 x) 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 (cos.f64 x) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.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) (neg.f64 x)) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 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)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) x) (.f64 x (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (.f64 x (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (/.f64 (.f64 x (.f64 (cos.f64 x) x)) x))) (*.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x)) (.f64 x (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 x (.f64 (.f64 x x) (cos.f64 x)))) (*.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (*.f64 x (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) x) (.f64 (neg.f64 x) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (*.f64 (cos.f64 x) x)) x))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) x) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) x) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 x (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) x))) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 x x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) x))) (.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) x))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 x x)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) x))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)))) (neg.f64 (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) (cos.f64 x)))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
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(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) (.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/576 binary64)) x)) (neg.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/576 binary64)) x) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/576 binary64))) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 #s(literal 1/24 binary64) x (.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) x))
(fma.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 #s(literal -1/720 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) x))
(+.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) x))
(+.f64 (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 x #s(literal 1/24 binary64)))
(+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (.f64 (cos.f64 x) (neg.f64 x)) x)
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) (cos.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (neg.f64 x) (.f64 (cos.f64 x) x))
(.f64 (cos.f64 x) (.f64 (neg.f64 x) x))
(.f64 x (.f64 (neg.f64 x) (cos.f64 x)))
(neg.f64 (.f64 x (.f64 (cos.f64 x) x)))
(neg.f64 (.f64 (.f64 x x) (cos.f64 x)))

eval100.0ms (1.4%)

Memory: 12.3MiB live, 158.4MiB allocated
Compiler: Compiled 25 396 to 2 805 computations (89% saved)

prune56.0ms (0.8%)

Memory

-32.6MiB live, 73.9MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	883	13	896
Fresh	6	6	12
Picked	3	2	5
Done	0	1	1
Total	892	22	914

Accuracy

100.0%

Counts

914 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	14.6%	(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	48.1%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) x))
	24.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	3.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	24.4%	(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
	2.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
▶	1.6%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
✓	49.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.3%	(/.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))
	26.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	14.2%	(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	14.1%	(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	14.1%	(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
▶	48.9%	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
	74.8%	(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	52.5%	#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)))
	53.2%	#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)))
▶	52.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
▶	74.8%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)))

Compiler

Compiled 829 to 504 computations (39.2% saved)

simplify83.0ms (1.2%)

Memory

13.3MiB live, 103.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	315
0	76	300
1	161	290
2	591	285
3	2921	266
4	7828	266
0	8023	266

Stop Event

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

Calls

Call 1

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

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

localize711.0ms (9.9%)

Memory

-24.9MiB live, 442.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (.f64 x x) (cos.f64 x))
accuracy	0.12109375	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	14.777660362034915	(+.f64 (.f64 (.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
accuracy	46.46326353848564	(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
accuracy	0.0	(cos.f64 x)
accuracy	0.11328125	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	0.140625	(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
accuracy	32.0860080827526	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
accuracy	0.12109375	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	14.777660362034915	(-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x)))
accuracy	22.169530212070665	#s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))
accuracy	46.46326353848564	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0859375	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy	30.269823773617844	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.0	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)))
accuracy	0.15234375	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
accuracy	15.5562980814234	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))

Samples

133.0ms	77×	2	valid
44.0ms	124×	0	valid
27.0ms	19×	3	valid
25.0ms	36×	1	valid

Compiler

Compiled 263 to 42 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-div: 48.0ms (24.6% of total)

ival-cos: 30.0ms (15.4% of total)

adjust: 29.0ms (14.9% of total)

ival-mult: 29.0ms (14.9% of total)

ival-sub: 28.0ms (14.3% of total)

ival-sin: 7.0ms (3.6% of total)

ival-add: 6.0ms (3.1% of total)

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

ival-neg: 4.0ms (2% of total)

const: 4.0ms (2% of total)

ival-pow2: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

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

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

series15.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

21 → 58

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.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 (.f64 (neg.f64 x) x) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x x) (cos.f64 x))
(sin.f64 x)
#s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))
(/.f64 #s(literal -1 binary64) (*.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 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)
(* 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 (pow x 4))
(* -1 (pow x 2))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
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 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (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))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (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 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (cos x))
(cos x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(sin x)
(* -1 (* (pow x 2) (cos x)))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

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

5.0ms

inf

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

2.0ms

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

simplify116.0ms (1.6%)

Memory

-4.9MiB live, 107.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	624
1	417	623
2	1306	596
3	4268	596
0	8144	560

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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 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)
(* 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 (pow x 4))
(* -1 (pow x 2))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
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 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (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))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (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 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (cos x))
(cos x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (cos x))
(sin x)
(* -1 (* (pow x 2) (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 #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))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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)
(* 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 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 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 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (pow.f64 x #s(literal 4 binary64)) (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))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(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)))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)))
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 #s(literal 1/24 binary64) (.f64 x x)) #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 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 4 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))) (*.f64 x x))
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)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (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))) (.f64 x x))
(* (pow x 2) (- (* (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 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (.f64 x 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)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (- 1 (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 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/24 binary64)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(* (pow x 2) (- (cos x) 1))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (cos x))
(.f64 (.f64 (cos.f64 x) x) x)
(sin x)
(sin.f64 x)
(* -1 (* (pow x 2) (cos x)))
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))

rewrite215.0ms (3%)

Memory

-16.0MiB live, 219.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	234
0	76	219
1	288	189
2	2146	188
0	8450	188

Stop Event

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

Counts

21 → 957

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 (+.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 (*.f64 (cos.f64 x) x) x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x))) (.f64 (neg.f64 x) x))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (neg.f64 x)) (/.f64 (*.f64 x x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) x)
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 x))) x)
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) x)) x)
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal -2 binary64))))) (.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 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64)))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) x)
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) x)))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 (cos.f64 x) x) x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (.f64 x (/.f64 #s(literal -1 binary64) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (.f64 x x)) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (cos.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (cos.f64 x)) x) (.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (neg.f64 x) x)) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 x) x)))) (neg.f64 (pow.f64 x #s(literal 8 binary64))))
(/.f64 (-.f64 (.f64 (/.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 (neg.f64 x) x))) (.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -4 binary64)))) (.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))) (.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal -6 binary64))))) (*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 x) x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 x) x))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) (.f64 x (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(/.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)) (neg.f64 x)) (.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 (neg.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)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
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(.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 (cos.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 (cos.f64 x) x) x (.f64 (neg.f64 x) x))
(fma.f64 (cos.f64 x) (.f64 x x) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x)) (.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 x x) (cos.f64 x) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 x x) #s(literal -1 binary64) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 x (.f64 (cos.f64 x) x) (.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (.f64 (.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x))
(-.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(+.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (cos.f64 x) x) x))
(.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (cos.f64 x) x) x)
(.f64 (cos.f64 x) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 x (.f64 (cos.f64 x) x))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 x))) (fabs.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sin.f64 x)))
(fabs.f64 (sin.f64 x))
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x))))
(exp.f64 (log.f64 (sin.f64 x)))
#s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x))) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))

eval82.0ms (1.1%)

Memory: 1.5MiB live, 144.1MiB allocated
Compiler: Compiled 24 196 to 2 758 computations (88.6% saved)

prune27.0ms (0.4%)

Memory

15.2MiB live, 61.7MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	786	9	795
Fresh	4	10	14
Picked	2	3	5
Done	0	3	3
Total	792	25	817

Accuracy

100.0%

Counts

817 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	24.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	49.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	3.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	24.4%	(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
	2.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
	14.1%	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	1.6%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
▶	2.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
✓	49.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.3%	(/.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))
▶	26.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	1.6%	(/.f64 (+.f64 (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	14.1%	(/.f64 (.f64 x (-.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
▶	49.0%	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	48.9%	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
▶	74.8%	(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	52.5%	#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)))
	53.2%	#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)))
✓	52.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	49.8%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (neg.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)))
	74.2%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x)) (.f64 (neg.f64 x) x)))
✓	74.8%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)))
	54.5%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan (/ x 2)) ( x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))

Compiler

Compiled 938 to 591 computations (37% saved)

simplify177.0ms (2.5%)

Memory

-13.8MiB live, 99.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
cost-diff	0	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) 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 (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 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 (sin.f64 x) (*.f64 x x))
cost-diff	0	(/.f64 x #s(literal 2 binary64))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	3	(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	259
0	64	262
1	118	262
2	276	262
3	650	260
4	1509	256
5	2768	256
6	4757	256
7	7520	256
0	8102	256

Stop Event

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

Calls

Call 1

Inputs
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
(*.f64 x 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(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x)))
#s(literal 1 binary64)
(/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x))
#s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.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 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
x
(*.f64 x x)
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

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

localize230.0ms (3.2%)

Memory

6.6MiB live, 239.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.1328125	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	0.140625	(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
accuracy	32.0860080827526	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy	0.0	(cos.f64 x)
accuracy	0.0546875	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy	15.5155496970557	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	15.627189607322054	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.627189607322054	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x)))
accuracy	15.979203791155665	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
accuracy	22.169530212070665	#s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x))
accuracy	31.030423973793784	(/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x))
accuracy	0.0	(*.f64 x x)
accuracy	15.627189607322054	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	15.979203791155665	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	27.707020776637638	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.14128876953688402	(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
accuracy	15.541485793659598	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

108.0ms	77×	2	valid
46.0ms	124×	0	valid
23.0ms	36×	1	valid
21.0ms	19×	3	valid

Compiler

Compiled 207 to 33 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-cos: 73.0ms (46.2% of total)

ival-div: 29.0ms (18.4% of total)

adjust: 17.0ms (10.8% of total)

ival-mult: 17.0ms (10.8% of total)

ival-sub: 8.0ms (5.1% of total)

ival-tan: 5.0ms (3.2% of total)

ival-sin: 5.0ms (3.2% of total)

ival-neg: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

21 → 52

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (tan (/ x 2)) (/ (sin x) (* x x))) (tan (/ x 2)) (/ x 2) (/ (sin x) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (/ (* (* (neg x) x) (cos x)) (* (neg x) x))) (* x x)) (- 1 (/ (* (* (neg x) x) (cos x)) (* (neg x) x))) (/ (* (* (neg x) x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (cos x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ (/ -1 x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (sin x) (/ (/ -1 x) x))

3.0ms

inf

((* (tan (/ x 2)) (/ (sin x) (* x x))) (tan (/ x 2)) (/ x 2) (/ (sin x) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (/ (* (* (neg x) x) (cos x)) (* (neg x) x))) (* x x)) (- 1 (/ (* (* (neg x) x) (cos x)) (* (neg x) x))) (/ (* (* (neg x) x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (cos x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ (/ -1 x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (sin x) (/ (/ -1 x) x))

2.0ms

((* (tan (/ x 2)) (/ (sin x) (* x x))) (tan (/ x 2)) (/ x 2) (/ (sin x) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (/ (* (* (neg x) x) (cos x)) (* (neg x) x))) (* x x)) (- 1 (/ (* (* (neg x) x) (cos x)) (* (neg x) x))) (/ (* (* (neg x) x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (cos x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ (/ -1 x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (sin x) (/ (/ -1 x) x))

simplify151.0ms (2.1%)

Memory

-6.3MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	555
1	358	555
2	1071	537
3	4878	537
0	8231	501

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

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 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 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))) x)
(* 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 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* 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 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
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))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin x) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(* -1 (* (pow x 2) (cos x)))
(/ (- 1 (cos x)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (cos x))
(sin 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 #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))
(* 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (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)) 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 #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 #s(literal 1/24 binary64) (.f64 x x)) #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 #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)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (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))) (.f64 x x))
(* (pow x 2) (- (* (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 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 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 #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 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(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)))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 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)
(/ (* (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)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) 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)
(* -1 (* (pow x 2) (cos x)))
(.f64 (.f64 (cos.f64 x) x) (neg.f64 x))
(/ (- 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)
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(sin x)
(sin.f64 x)

rewrite193.0ms (2.7%)

Memory

10.0MiB live, 289.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	196
0	64	199
1	208	188
2	1514	186
0	8440	186

Stop Event

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

Counts

21 → 627

Calls

Call 1

Inputs
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (sin.f64 x) (*.f64 x 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(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x)))
(/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (*.f64 (neg.f64 x) x))
#s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x))
(/.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 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(sin.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) 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 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 x (cos.f64 (/.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 x))) (neg.f64 (.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (*.f64 (neg.f64 x) x) (cos.f64 (/.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (.f64 (*.f64 (neg.f64 x) x) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (neg.f64 (.f64 (*.f64 (neg.f64 x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 (.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))) (neg.f64 (.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) x))) (neg.f64 (.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) x))) (neg.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (neg.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) (neg.f64 (.f64 (sin.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (.f64 x (/.f64 (cos.f64 x) (neg.f64 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)) (neg.f64 (.f64 (cos.f64 x) x))) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x)) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) (neg.f64 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)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 x (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) (neg.f64 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 (cos.f64 x) x) (neg.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 (cos.f64 x) (neg.f64 x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.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 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x (sin.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (*.f64 (neg.f64 x) x) (sin.f64 x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (*.f64 (neg.f64 x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) x)) (.f64 (sin.f64 x) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))
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(/.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) x) (.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) x) (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 x))) x) (.f64 (*.f64 x x) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (neg.f64 (.f64 (cos.f64 x) x)) x) (.f64 x x)) x)
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 x) x)) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (.f64 x (pow.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (.f64 x (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (.f64 x x)) (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (cos.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x)) x)
(/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) x)) (/.f64 (.f64 x (pow.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (.f64 x x)) (/.f64 (.f64 x (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
(-.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (cos.f64 x) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (cos.f64 x) x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 (.f64 (cos.f64 x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))))
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))) (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 x #s(literal -6 binary64))) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 x x)))
(neg.f64 (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(-.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)))
(-.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(cos.f64 (neg.f64 (+.f64 (PI.f64) x)))
(cos.f64 (+.f64 (neg.f64 x) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (PI.f64) x))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))

eval161.0ms (2.2%)

Memory: -27.9MiB live, 163.6MiB allocated
Compiler: Compiled 16 168 to 2 243 computations (86.1% saved)

prune53.0ms (0.7%)

Memory

-0.3MiB live, 60.4MiB allocated

Pruning

30 alts after pruning (19 fresh and 11 done)

	Pruned	Kept	Total
New	681	7	688
Fresh	2	12	14
Picked	0	5	5
Done	0	6	6
Total	683	30	713

Accuracy

100.0%

Counts

713 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	24.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.1%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (cos.f64 x) x)) (*.f64 x x)) x)
✓	49.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	3.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	2.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
	2.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 x x)) x))) (.f64 x x))
	14.1%	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
	1.6%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
	2.9%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
	3.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (neg.f64 x)) x)) (*.f64 x x))
✓	2.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
	3.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx ( (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) x))) (*.f64 x x))
✓	49.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.3%	(/.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))
✓	26.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	1.6%	(/.f64 (+.f64 (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	48.9%	(-.f64 (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	49.0%	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	48.9%	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
	26.8%	(-.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	74.8%	(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	52.5%	#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)))
	53.2%	#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)))
✓	52.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	49.8%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (neg.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)))
	74.2%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x)) (.f64 (neg.f64 x) x)))
✓	74.8%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)))
	54.5%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan (/ x 2)) ( x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))

Compiler

Compiled 1 613 to 637 computations (60.5% saved)

regimes37.0ms (0.5%)

Memory

-6.6MiB live, 37.4MiB allocated

Counts

47 → 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 (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (neg.f64 x)) x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx ( (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 x x)) x))) (.f64 x x))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan (/ x 2)) ( x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (neg.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(-.f64 (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 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)))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x)) (.f64 (neg.f64 x) x)))
(-.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 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) x))

Outputs

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

#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)))

Calls

2 calls:

23.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
12.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.8%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes11.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

36 → 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 (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (neg.f64 x)) x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx ( (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 x x)) x))) (.f64 x x))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan (/ x 2)) ( x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (neg.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(-.f64 (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 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)))

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

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

19 → 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 (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (neg.f64 x)) x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx ( (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 x x)) x))) (.f64 x x))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan (/ x 2)) ( x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 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:

5.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-37.3MiB live, 8.6MiB allocated

Counts

18 → 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 (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (neg.f64 x)) x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx ( (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 x x)) x))) (.f64 x x))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan (/ x 2)) ( x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 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:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0.1%)

Memory

13.7MiB live, 13.6MiB allocated

Counts

17 → 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 (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))) x) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (neg.f64 x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (neg.f64 x)) x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx ( (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 x x)) x))) (.f64 x x))
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan (/ x 2)) ( x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 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(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
54.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
78.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 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)))

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
78.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

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
77.9%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

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
53.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
53.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch5.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	7.965065188149909e-10	2.5360641875533353e-9

Samples

3.0ms

32×

valid

Compiler

Compiled 85 to 70 computations (17.6% saved)

Precisions

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

adjust: 1.0ms (46% of total)

ival-cos: 1.0ms (46% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.015334964645298486	0.4765002290407234

Samples

5.0ms

112×

valid

Compiler

Compiled 242 to 192 computations (20.7% saved)

Precisions

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

ival-sub: 1.0ms (31.2% of total)

ival-div: 1.0ms (31.2% of total)

ival-cos: 1.0ms (31.2% of total)

ival-mult: 1.0ms (31.2% 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)

bsearch33.0ms (0.5%)

Memory

-34.9MiB live, 10.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.015334964645298486	0.4765002290407234

Samples

28.0ms

96×

valid

Compiler

Compiled 207 to 164 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 24.0ms (90.9% of total)

ival-div: 1.0ms (3.8% of total)

ival-cos: 1.0ms (3.8% of total)

ival-sub: 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

1.4MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.015334964645298486	0.4765002290407234

Compiler

Compiled 207 to 164 computations (20.8% saved)

bsearch18.0ms (0.2%)

Memory

18.8MiB live, 18.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2897517034740074e+33	3.599018000072102e+39

Samples

10.0ms

144×

valid

Compiler

Compiled 326 to 244 computations (25.2% saved)

Precisions

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

ival-cos: 5.0ms (67.4% of total)

ival-sub: 1.0ms (13.5% of total)

ival-div: 1.0ms (13.5% of total)

ival-mult: 1.0ms (13.5% 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)

bsearch14.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2897517034740074e+33	3.599018000072102e+39

Samples

8.0ms

112×

valid

Compiler

Compiled 281 to 217 computations (22.8% saved)

Precisions

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

ival-cos: 4.0ms (70.6% of total)

ival-sub: 1.0ms (17.7% of total)

ival-div: 1.0ms (17.7% of total)

ival-mult: 1.0ms (17.7% 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)

bsearch53.0ms (0.7%)

Memory

-41.0MiB live, 12.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	0.4765002290407234	13.426794389640834

Samples

8.0ms

112×

valid

Compiler

Compiled 186 to 150 computations (19.4% saved)

Precisions

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

ival-cos: 3.0ms (54.1% of total)

ival-sub: 1.0ms (18% of total)

ival-div: 1.0ms (18% of total)

ival-mult: 1.0ms (18% 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)

simplify66.0ms (0.9%)

Memory

10.9MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	254
1	108	254
2	223	250
3	682	250
4	2404	250
5	4032	250
6	5590	250

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 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 1188950301625811/36028797018963968 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 1188950301625811/36028797018963968 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 84000000000000004153629349776214458368 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(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 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 3884354678607053/1125899906842624 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
(if (<=.f64 x #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 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 1188950301625811/36028797018963968 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 1188950301625811/36028797018963968 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 84000000000000004153629349776214458368 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(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 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 3884354678607053/1125899906842624 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))

derivations874.0ms (12.2%)

Memory

52.4MiB live, 706.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	212
0	66	205
1	251	179
2	1851	177
0	9072	175
0	113	555
1	358	555
2	1071	537
3	4878	537
0	8231	501
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135
0	173	724
1	481	717
2	1409	708
3	3600	702
0	8258	663
0	47	234
0	76	219
1	288	189
2	2146	188
0	8450	188
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17

Stop Event

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

Compiler

Compiled 254 to 75 computations (70.5% saved)

preprocess82.0ms (1.1%)

Memory: -3.7MiB live, 97.5MiB allocated
Compiler: Compiled 606 to 218 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.2s (29.9%)

explain154.0ms (2.1%)

preprocess140.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify111.0ms (1.5%)

localize79.0ms (1.1%)

series3.0ms (0%)

simplify162.0ms (2.3%)

rewrite98.0ms (1.4%)

eval17.0ms (0.2%)

prune12.0ms (0.2%)

simplify85.0ms (1.2%)

localize216.0ms (3%)

series19.0ms (0.3%)

simplify106.0ms (1.5%)

rewrite221.0ms (3.1%)

eval100.0ms (1.4%)

prune56.0ms (0.8%)

simplify83.0ms (1.2%)

localize711.0ms (9.9%)

series15.0ms (0.2%)

simplify116.0ms (1.6%)

rewrite215.0ms (3%)

eval82.0ms (1.1%)

prune27.0ms (0.4%)

simplify177.0ms (2.5%)

localize230.0ms (3.2%)

series8.0ms (0.1%)

simplify151.0ms (2.1%)

rewrite193.0ms (2.7%)

eval161.0ms (2.2%)

prune53.0ms (0.7%)

regimes37.0ms (0.5%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch5.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch33.0ms (0.5%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch53.0ms (0.7%)

simplify66.0ms (0.9%)

derivations874.0ms (12.2%)

preprocess82.0ms (1.1%)

end0.0ms (0%)

Profiling