Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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)

sample4.6s (27.2%)

Memory

111.5MiB live, 5 123.7MiB allocated

Samples

1.7s	2 268×	2	valid
946.0ms	4 201×	0	valid
419.0ms	520×	3	valid
304.0ms	1 267×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-cos: 1.9s (66.2% of total)

ival-sub: 328.0ms (11.2% of total)

ival-div: 217.0ms (7.4% of total)

adjust: 215.0ms (7.4% of total)

ival-mult: 203.0ms (7% of total)

ival-true: 10.0ms (0.3% of total)

exact: 8.0ms (0.3% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

explain1.2s (7.1%)

Memory

-92.6MiB live, 422.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
65	-	1	(4.9573236565647484e+187)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	64	3
`/.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
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	2	0
↳	`(*.f64 x x)`	overflow	50

Confusion

	Predicted +	Predicted -
+	129	0
-	1	126

Precision

0.9923076923076923

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	1	3	123

Precision?

0.9699248120300752

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

727.0ms	270×	0	valid
110.0ms	38×	3	valid
76.0ms	134×	2	valid
13.0ms	70×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 896.0ms

ival-sub: 697.0ms (77.8% of total)

ival-cos: 167.0ms (18.6% of total)

ival-div: 13.0ms (1.5% of total)

adjust: 11.0ms (1.2% of total)

ival-mult: 7.0ms (0.8% of total)

ival-true: 1.0ms (0.1% of total)

exact: 1.0ms (0.1% of total)

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

preprocess304.0ms (1.8%)

Memory

59.7MiB live, 385.7MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify357.0ms (2.1%)

Memory

27.5MiB live, 329.8MiB 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)

localize224.0ms (1.3%)

Memory

-11.7MiB live, 229.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	13.667598938459482	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.698827011459732	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

99.0ms	67×	2	valid
56.0ms	135×	0	valid
51.0ms	19×	3	valid
7.0ms	35×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-div: 109.0ms (68.1% of total)

ival-cos: 38.0ms (23.7% of total)

adjust: 5.0ms (3.1% of total)

ival-sub: 5.0ms (3.1% of total)

ival-mult: 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)

series5.0ms (0%)

Memory

11.7MiB live, 11.7MiB 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
2.0ms	x	@	-inf	((/ (- 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))
1.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))

simplify358.0ms (2.1%)

Memory

-23.2MiB live, 419.9MiB 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)

rewrite317.0ms (1.9%)

Memory

85.3MiB live, 289.4MiB 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)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.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 (neg.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 #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 (neg.f64 x) x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))) (/.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 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 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 (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)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (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) (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (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 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) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.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)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (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 (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 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (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 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.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)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (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))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (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 (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 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (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 (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))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 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 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.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)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.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))))
(/.f64 (pow.f64 (sin.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 3 binary64))) (neg.f64 (neg.f64 (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 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(-.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))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (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 #s(literal 1 binary64) (cos.f64 x))
(+.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))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.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))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(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)))

eval153.0ms (0.9%)

Memory: -28.5MiB live, 94.9MiB allocated
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune90.0ms (0.5%)

Memory

-12.8MiB live, 77.3MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	128	20	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	21	149

Accuracy

100.0%

Counts

149 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	74.3%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
▶	33.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	53.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	23.1%	(/.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)))
	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
	52.9%	(/.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))
	52.9%	(/.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 (neg.f64 x) x)))
✓	52.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	2.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
	22.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	74.3%	(/.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)))
▶	23.6%	(/.f64 #s(approx (- 1 (cos x)) (.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))) (*.f64 x x))
	53.2%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	74.9%	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
▶	74.9%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
	48.1%	#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)))
	48.9%	#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)))
	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	49.7%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 644 to 420 computations (34.8% saved)

simplify454.0ms (2.7%)

Memory

10.9MiB live, 437.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
cost-diff	2	(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
cost-diff	2	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
cost-diff	8	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
cost-diff	0	(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))
cost-diff	0	(.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))
cost-diff	0	#s(approx (- 1 (cos x)) (.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)))
cost-diff	0	(/.f64 #s(approx (- 1 (cos x)) (.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))) (*.f64 x x))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
cost-diff	1	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	2	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	230
0	58	246
1	129	212
2	464	198
3	3018	198
0	8101	196

Stop Event

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

Calls

Call 1

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

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

localize688.0ms (4.1%)

Memory

-55.6MiB live, 745.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	3.195441907117093	(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	13.667598938459482	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.698827011459732	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
accuracy	0.11328125	(.f64 (.f64 x x) (cos.f64 x))
accuracy	10.905351963530135	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	15.698827011459732	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
accuracy	35.11055854287281	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
accuracy	0.07210715476030194	(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
accuracy	0.26171875	(*.f64 #s(literal 1/720 binary64) x)
accuracy	15.698827011459732	(/.f64 #s(approx (- 1 (cos x)) (.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))) (*.f64 x x))
accuracy	32.320428457096035	#s(approx (- 1 (cos x)) (.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)))
accuracy	32.18400291237946	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.15625	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.15625	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
accuracy	0.40306770247763024	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.205327829905436	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))

Samples

284.0ms	66×	2	valid
142.0ms	135×	0	valid
43.0ms	36×	1	valid
35.0ms	19×	3	valid

Compiler

Compiled 203 to 32 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

const: 141.0ms (30.9% of total)

adjust: 89.0ms (19.5% of total)

ival-sin: 81.0ms (17.8% of total)

ival-mult: 42.0ms (9.2% of total)

ival-cos: 41.0ms (9% of total)

ival-div: 25.0ms (5.5% of total)

ival-add: 11.0ms (2.4% of total)

ival-log: 9.0ms (2% of total)

ival-sub: 8.0ms (1.8% of total)

ival-exp: 7.0ms (1.5% of total)

exact: 1.0ms (0.2% of total)

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

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

series33.0ms (0.2%)

Memory

73.1MiB live, 73.1MiB allocated

Counts

21 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (+ (* (* 1/720 x) x) -1/24) (* (* x x) (cos x)))
12.0ms	x	@	-inf	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (+ (* (* 1/720 x) x) -1/24) (* (* x x) (cos x)))
5.0ms	x	@	0	((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (+ (* (* 1/720 x) x) -1/24) (* (* x x) (cos x)))

Time

Variable

Point

Expression

14.0ms

inf

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (+ (* (* 1/720 x) x) -1/24) (* (* x x) (cos x)))

12.0ms

-inf

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (+ (* (* 1/720 x) x) -1/24) (* (* x x) (cos x)))

5.0ms

((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (+ (* (* 1/720 x) x) -1/24) (* (* x x) (cos x)))

simplify410.0ms (2.4%)

Memory

17.5MiB live, 444.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	585
1	386	585
2	1119	568
3	3996	568
0	8127	529

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

rewrite613.0ms (3.7%)

Memory

14.0MiB live, 559.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	198
0	58	206
1	199	166
2	1489	163
0	8614	163

Stop Event

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

Counts

21 → 1 513

Calls

Call 1

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

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

eval445.0ms (2.7%)

Memory: 3.5MiB live, 440.3MiB allocated
Compiler: Compiled 34 709 to 4 362 computations (87.4% saved)

prune106.0ms (0.6%)

Memory

-43.1MiB live, 165.8MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 200	15	1 215
Fresh	7	8	15
Picked	1	4	5
Done	0	1	1
Total	1 208	28	1 236

Accuracy

100.0%

Counts

1 236 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
▶	34.3%	(/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (.f64 x x))
	33.3%	(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	33.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))))) (.f64 x x)) (*.f64 x x))
✓	33.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	2.4%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
	53.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	33.4%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	33.4%	(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 x x)) (.f64 x x))
	23.1%	(/.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)))
	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
✓	52.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	2.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
	22.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.8%	(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x)) (*.f64 x x))
▶	16.3%	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
✓	23.6%	(/.f64 #s(approx (- 1 (cos x)) (.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))) (*.f64 x x))
	53.2%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	52.9%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
	75.2%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
▶	75.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	52.8%	(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)))
▶	50.2%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	48.1%	#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)))
	48.9%	#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)))
▶	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	49.7%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 844 to 510 computations (39.6% saved)

simplify214.0ms (1.3%)

Memory

-2.3MiB live, 327.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	214
0	63	212
1	131	194
2	445	182
3	2236	173
4	5784	173
0	8049	173

Stop Event

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

Calls

Call 1

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

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

localize551.0ms (3.3%)

Memory

66.1MiB live, 827.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(/.f64 (cos.f64 x) x)
accuracy	15.698827011459732	(/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (.f64 x x))
accuracy	26.606927652464766	(/.f64 (*.f64 (neg.f64 x) x) x)
accuracy	29.41201080317871	(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
accuracy	0.125	(*.f64 (cos.f64 x) x)
accuracy	0.15853500976844204	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	9.841985945905	(-.f64 x (*.f64 (cos.f64 x) x))
accuracy	46.28877278676213	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(sin.f64 x)
accuracy	0.15625	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	31.80093330805396	#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.15625	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy	33.07846151240273	#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	0.00390625	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.1640625	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	15.180347942821797	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

188.0ms	135×	0	valid
123.0ms	67×	2	valid
82.0ms	19×	3	valid
30.0ms	35×	1	valid

Compiler

Compiled 204 to 37 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-sin: 88.0ms (27.8% of total)

ival-cos: 62.0ms (19.6% of total)

ival-mult: 48.0ms (15.2% of total)

adjust: 38.0ms (12% of total)

ival-div: 38.0ms (12% of total)

ival-add: 10.0ms (3.2% of total)

ival-tan: 9.0ms (2.8% of total)

ival-sub: 9.0ms (2.8% of total)

const: 7.0ms (2.2% of total)

ival-neg: 6.0ms (1.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series84.0ms (0.5%)

Memory

-32.0MiB live, 69.3MiB allocated

Counts

21 → 66

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
(*.f64 x 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 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))))
(.f64 x (-.f64 x (.f64 (cos.f64 x) x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (.f64 x x))
(*.f64 (neg.f64 x) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(/.f64 (cos.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 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)
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 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 (pow x 4))
(* -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))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 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 x)
(* -1 (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (- 1 (cos x)))
(+ 1 (* -1 (cos x)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* x (- 1 (cos x)))
(* x (cos x))
(/ (cos x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

56.0ms

-inf

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

20.0ms

inf

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

6.0ms

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

simplify337.0ms (2%)

Memory

29.8MiB live, 304.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	714
1	481	700
2	1475	694
3	4499	694
0	8122	648

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)))
(/ 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)
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 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 (pow x 4))
(* -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))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 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 x)
(* -1 (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* (pow x 2) (- 1 (cos x)))
(+ 1 (* -1 (cos x)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* x (- 1 (cos x)))
(* x (cos x))
(/ (cos x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))

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

rewrite365.0ms (2.2%)

Memory

-37.7MiB live, 509.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	178
0	63	178
1	217	153
2	1507	149
0	8692	149

Stop Event

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

Counts

21 → 703

Calls

Call 1

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

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

eval204.0ms (1.2%)

Memory: 17.9MiB live, 346.5MiB allocated
Compiler: Compiled 18 095 to 2 398 computations (86.7% saved)

prune79.0ms (0.5%)

Memory

33.3MiB live, 140.1MiB allocated

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	825	11	836
Fresh	4	14	18
Picked	1	4	5
Done	0	5	5
Total	830	34	864

Accuracy

100.0%

Counts

864 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
	3.6%	(/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 x x))
	53.5%	(/.f64 (fma.f64 (.f64 (neg.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) #s(literal 1 binary64)) (.f64 x x))
	53.5%	(/.f64 (fma.f64 #s(approx (/ (* (neg x) x) x) (neg.f64 x)) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
▶	33.3%	(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
✓	33.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	2.4%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
	52.8%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
	53.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	33.4%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	33.4%	(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 x x)) (.f64 x x))
	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
✓	52.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	2.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
▶	22.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	16.5%	(/.f64 (neg.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 (cos.f64 x) x)) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	16.5%	(/.f64 (neg.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 x) (cos.f64 x))))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
✓	16.3%	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	16.3%	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
✓	23.6%	(/.f64 #s(approx (- 1 (cos x)) (.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))) (*.f64 x x))
	16.3%	(/.f64 #s(approx (neg (* x (- x (* (cos x) x)))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	53.2%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	52.9%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
▶	75.2%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
✓	75.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	52.9%	(.f64 (/.f64 x (.f64 x x)) (*.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
✓	50.2%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	35.7%	(.f64 x (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
	42.4%	(.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x))))
▶	48.1%	#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)))
	48.9%	#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)))
✓	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	49.7%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 010 to 615 computations (39.1% saved)

simplify160.0ms (1%)

Memory

5.4MiB live, 211.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (neg.f64 x) (.f64 (cos.f64 x) x))
cost-diff	1	(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
cost-diff	2	(fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x)))
cost-diff	7	(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (*.f64 x x))
cost-diff	1	(/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x)
cost-diff	2	(*.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff	2	(/.f64 x (*.f64 x x))
cost-diff	2	(.f64 (/.f64 x (.f64 x x)) (*.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
cost-diff	0	(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)))
cost-diff	0	(.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))))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(/.f64 x #s(literal 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	(.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	41	253
0	72	235
1	158	223
2	565	221
3	3033	219
0	8293	219

Stop Event

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

Calls

Call 1

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

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

localize479.0ms (2.9%)

Memory

1.0MiB live, 781.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(*.f64 (cos.f64 x) x)
accuracy	15.698827011459732	(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
accuracy	18.34194294202853	(fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x)))
accuracy	35.11055854287281	(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (*.f64 x x))
accuracy	0.1953125	(.f64 (/.f64 x (.f64 x x)) (*.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
accuracy	13.667598938459482	(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
accuracy	15.094709951940077	(/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x)
accuracy	26.711424410478422	(/.f64 x (*.f64 x x))
accuracy	0.19140625	(.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))))
accuracy	0.26171875	(*.f64 #s(literal 1/720 binary64) x)
accuracy	12.535053041510308	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
accuracy	33.042798724383076	#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)))
accuracy	0.0	(*.f64 x x)
accuracy	13.667598938459482	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	15.698827011459732	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	29.873149185645232	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 x)
accuracy	0.00390625	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.15625	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
accuracy	15.171792820136993	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))

Samples

146.0ms	135×	0	valid
123.0ms	66×	2	valid
74.0ms	36×	1	valid
37.0ms	18×	3	valid
3.0ms	1×	4	valid

Compiler

Compiled 243 to 40 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-add: 55.0ms (17.9% of total)

const: 46.0ms (14.9% of total)

ival-div: 45.0ms (14.6% of total)

ival-mult: 45.0ms (14.6% of total)

ival-cos: 40.0ms (13% of total)

ival-tan: 25.0ms (8.1% of total)

adjust: 25.0ms (8.1% of total)

ival-sin: 10.0ms (3.2% of total)

ival-neg: 6.0ms (1.9% of total)

ival-sub: 5.0ms (1.6% of total)

ival-pow: 5.0ms (1.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series30.0ms (0.2%)

Memory

-43.1MiB live, 58.8MiB allocated

Counts

24 → 72

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

-inf

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

7.0ms

inf

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

4.0ms

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

simplify330.0ms (2%)

Memory

65.6MiB live, 491.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	780
1	479	779
2	1355	767
3	3920	765
0	8367	721

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

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

rewrite1.3s (7.8%)

Memory

-183.6MiB live, 825.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	213
0	72	200
1	269	181
2	2034	180
0	8461	180

Stop Event

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

Counts

24 → 1 638

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x)) (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x))) (/.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.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 (pow.f64 x #s(literal 3 binary64)) (.f64 (cos.f64 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 (pow.f64 x #s(literal 3 binary64)) (*.f64 (cos.f64 x) x)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) x))
(.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (neg.f64 x)))
(.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 x (.f64 (neg.f64 x) (cos.f64 x))) (neg.f64 x)))
(.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (neg.f64 x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x))
(.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 x (.f64 (neg.f64 x) (cos.f64 x))) x))
(.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x))
(.f64 (/.f64 (.f64 x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(.f64 (/.f64 (.f64 x #s(literal 1 binary64)) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)))
(.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (.f64 x x)))
(.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 (neg.f64 x) x)))
(.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (+.f64 x (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (neg.f64 x) x) (/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (neg.f64 x) x) (/.f64 (+.f64 x (.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (neg.f64 x) x) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (.f64 (neg.f64 x) x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (.f64 x x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 x) (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(.f64 (sin.f64 x) (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (sin.f64 x))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 x (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) x)) x)) x)
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (neg.f64 x))) x)
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -1 binary64)))) x)
(/.f64 (neg.f64 (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (.f64 x x))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.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 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))) (neg.f64 (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (neg.f64 (.f64 x (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (cos.f64 x) x) x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (cos.f64 x) x) x))) (pow.f64 x #s(literal 8 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)))) (.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 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 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.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 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
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(+.f64 (/.f64 (/.f64 (.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 (*.f64 (cos.f64 x) x) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (fma.f64 x x (.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 x #s(literal -2 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 (.f64 (/.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (.f64 (/.f64 (.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) (neg.f64 x)) x))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)))
(.f64 (.f64 (neg.f64 x) (cos.f64 x)) x)
(.f64 (.f64 (neg.f64 x) x) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) x) (neg.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 (.f64 (cos.f64 x) x) x))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.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))))
(-.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x))))))
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))

eval310.0ms (1.8%)

Memory: -7.3MiB live, 546.3MiB allocated
Compiler: Compiled 24 142 to 3 022 computations (87.5% saved)

prune132.0ms (0.8%)

Memory

-11.2MiB live, 220.8MiB allocated

Pruning

36 alts after pruning (25 fresh and 11 done)

	Pruned	Kept	Total
New	976	12	988
Fresh	7	13	20
Picked	2	3	5
Done	1	8	9
Total	986	36	1 022

Accuracy

100.0%

Counts

1 022 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 x x))
	53.5%	(/.f64 (fma.f64 (.f64 (neg.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) #s(literal 1 binary64)) (.f64 x x))
	53.5%	(/.f64 (fma.f64 #s(approx (/ (* (neg x) x) x) (neg.f64 x)) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
	33.5%	(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) (cos.f64 x)) x (.f64 x x)) (.f64 x x)) (.f64 x x))
✓	33.3%	(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	2.3%	(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (.f64 x x)) (.f64 x x))
	3.2%	(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (.f64 (neg.f64 x) x))) (.f64 x x)) (*.f64 x x))
✓	33.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	52.8%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 x x))
	53.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	33.4%	(/.f64 (/.f64 (.f64 x (fma.f64 (neg.f64 x) (cos.f64 x) x)) (.f64 x x)) (*.f64 x x))
	33.4%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	2.6%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
	3.5%	(/.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))
	22.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
✓	52.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
✓	22.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	42.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (.f64 x (*.f64 (neg.f64 x) x)))
	52.9%	(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x)) (.f64 x x))
	16.5%	(/.f64 (neg.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 (cos.f64 x) x)) x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	16.5%	(/.f64 (neg.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 x) (cos.f64 x))))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
✓	16.3%	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	16.3%	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))
	16.3%	(/.f64 #s(approx (neg (* x (- x (* (cos x) x)))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
	52.9%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
	53.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
✓	75.2%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
✓	75.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	23.1%	(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (*.f64 (neg.f64 x) x) x)))
✓	50.2%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	35.7%	(.f64 x (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
	48.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
	48.9%	#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)))
✓	48.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	49.7%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 640 to 627 computations (61.8% saved)

regimes123.0ms (0.7%)

Memory

-21.6MiB live, 181.9MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

66.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.4%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes32.0ms (0.2%)

Memory

71.4MiB live, 71.4MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes54.0ms (0.3%)

Memory

-96.6MiB live, 38.3MiB allocated

Counts

16 → 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(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (.f64 (neg.f64 x) x))) (.f64 x x)) (*.f64 x x))
(/.f64 #s(approx (- 1 (cos x)) (.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))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.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 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (.f64 x x)) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs

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

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

Calls

2 calls:

44.0ms	x
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
81.2%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes19.0ms (0.1%)

Memory

54.4MiB live, 54.4MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
50.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
69.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

14.6MiB live, 14.6MiB 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)) #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:

3.0ms

Results

Accuracy	Segments	Branch
69.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes39.0ms (0.2%)

Memory

-77.2MiB live, 23.0MiB allocated

Accuracy

Total -1.0b remaining (-3%)

Threshold costs -1b (-3%)

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:

2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
2.0ms	x

Results

Accuracy	Segments	Branch
49.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
49.7%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch12.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	0.04480365742215322	5.577718592949915

Samples

6.0ms

64×

valid

Compiler

Compiled 171 to 122 computations (28.7% saved)

Precisions

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

ival-sub: 1.0ms (29.2% of total)

ival-div: 1.0ms (29.2% of total)

ival-cos: 1.0ms (29.2% of total)

ival-mult: 1.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

31.1MiB live, 31.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.04480365742215322	5.577718592949915

Samples

8.0ms

64×

valid

Compiler

Compiled 270 to 192 computations (28.9% saved)

Precisions

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

ival-sub: 3.0ms (51.6% of total)

ival-div: 1.0ms (17.2% of total)

ival-cos: 1.0ms (17.2% of total)

ival-mult: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.04480365742215322	5.577718592949915

Compiler

Compiled 270 to 192 computations (28.9% saved)

bsearch39.0ms (0.2%)

Memory

-22.7MiB live, 78.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	49759908585615.41	697116259461971.1

Samples

29.0ms

96×

valid

Compiler

Compiled 215 to 160 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 6.0ms (65.9% of total)

ival-sub: 1.0ms (11% of total)

ival-div: 1.0ms (11% of total)

ival-mult: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Memory

61.6MiB live, 61.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.9545791482660167e+74	3.6477668686003925e+78

Samples

17.0ms

128×

valid

Compiler

Compiled 171 to 146 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 8.0ms (65.6% of total)

ival-mult: 2.0ms (16.4% of total)

ival-sub: 1.0ms (8.2% of total)

ival-div: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify150.0ms (0.9%)

Memory

-33.4MiB live, 202.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	198
1	78	198
2	127	198
3	182	198
4	228	198
5	284	198
6	375	198
7	608	198
8	1253	198
9	2617	198
10	5087	198

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 480000000000000 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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #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 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 480000000000000 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) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #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))

soundness1.2s (7.3%)

Memory

46.5MiB live, 1 475.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	198
0	58	206
1	199	166
2	1489	163
0	8614	163
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135
0	41	213
0	72	200
1	269	181
2	2034	180
0	8461	180

Stop Event

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

Compiler

Compiled 376 to 167 computations (55.6% saved)

preprocess129.0ms (0.8%)

Memory: -42.4MiB live, 161.1MiB allocated
Compiler: Compiled 500 to 172 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample4.6s (27.2%)

explain1.2s (7.1%)

preprocess304.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify357.0ms (2.1%)

localize224.0ms (1.3%)

series5.0ms (0%)

simplify358.0ms (2.1%)

rewrite317.0ms (1.9%)

eval153.0ms (0.9%)

prune90.0ms (0.5%)

simplify454.0ms (2.7%)

localize688.0ms (4.1%)

series33.0ms (0.2%)

simplify410.0ms (2.4%)

rewrite613.0ms (3.7%)

eval445.0ms (2.7%)

prune106.0ms (0.6%)

simplify214.0ms (1.3%)

localize551.0ms (3.3%)

series84.0ms (0.5%)

simplify337.0ms (2%)

rewrite365.0ms (2.2%)

eval204.0ms (1.2%)

prune79.0ms (0.5%)

simplify160.0ms (1%)

localize479.0ms (2.9%)

series30.0ms (0.2%)

simplify330.0ms (2%)

rewrite1.3s (7.8%)

eval310.0ms (1.8%)

prune132.0ms (0.8%)

regimes123.0ms (0.7%)

regimes32.0ms (0.2%)

regimes54.0ms (0.3%)

regimes19.0ms (0.1%)

regimes3.0ms (0%)

regimes39.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch3.0ms (0%)

bsearch39.0ms (0.2%)

bsearch28.0ms (0.2%)

simplify150.0ms (0.9%)

soundness1.2s (7.3%)

preprocess129.0ms (0.8%)

end0.0ms (0%)

Profiling