Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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)

sample1.7s (23.7%)

Memory

80.9MiB live, 1 901.7MiB allocated

Samples

694.0ms	2 203×	2	valid
323.0ms	4 195×	0	valid
238.0ms	604×	3	valid
192.0ms	1 254×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 828.0ms (69.5% of total)

ival-div: 99.0ms (8.3% of total)

adjust: 90.0ms (7.6% of total)

ival-mult: 83.0ms (7% of total)

ival-sub: 78.0ms (6.5% of total)

ival-true: 5.0ms (0.4% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain225.0ms (3%)

Memory

-33.6MiB live, 109.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
72	1	(1.0156939192956219e+303)	1	(-1.197118064943495e+248)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
67	0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	72	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	62	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	62
↳	`(*.f64 x x)`	underflow	62
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	5	0
↳	`(*.f64 x x)`	overflow	66

Confusion

	Predicted +	Predicted -
+	137	0
-	2	117

Precision

0.9856115107913669

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	0
-	2	3	114

Precision?

0.9647887323943662

Recall?

1.0

Freqs

test

number	freq
0	117
1	139

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	134×	2	valid
20.0ms	254×	0	valid
13.0ms	40×	3	valid
9.0ms	84×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-cos: 39.0ms (65.3% of total)

adjust: 6.0ms (10% of total)

ival-div: 5.0ms (8.4% of total)

ival-sub: 5.0ms (8.4% of total)

ival-mult: 4.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess195.0ms (2.6%)

Memory

10.5MiB live, 112.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify134.0ms (1.8%)

Memory

3.1MiB live, 92.1MiB 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)

localize75.0ms (1%)

Memory

-7.3MiB live, 36.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	15.55412550119758	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
accuracy	15.968626622213508	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

18.0ms	67×	2	valid
10.0ms	127×	0	valid
6.0ms	20×	3	valid
4.0ms	42×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 20.0ms (68.1% of total)

ival-div: 3.0ms (10.2% of total)

adjust: 3.0ms (10.2% of total)

ival-mult: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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
1.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))
1.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))
1.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x))

simplify221.0ms (3%)

Memory

-1.8MiB live, 138.9MiB 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)

rewrite143.0ms (1.9%)

Memory

-5.0MiB live, 143.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 132

Calls

Call 1

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

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

eval15.0ms (0.2%)

Memory: 35.5MiB live, 35.5MiB allocated
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune18.0ms (0.2%)

Memory

-9.6MiB live, 35.6MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	129	19	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	20	149

Accuracy

100.0%

Counts

149 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	74.7%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
	24.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	50.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	8.3%	(/.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))))
▶	15.9%	(/.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)))
	12.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
✓	49.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	2.1%	(/.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))
	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	74.7%	(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 x x))
	74.7%	(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
	27.2%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
	50.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	49.0%	(-.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)))
▶	75.1%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
	51.4%	#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)))
	52.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	52.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 664 to 424 computations (36.1% saved)

simplify87.0ms (1.2%)

Memory

-24.2MiB live, 119.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	1	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	1	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
cost-diff	2	(.f64 (neg.f64 x) (.f64 x x))
cost-diff	2	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
cost-diff	3	(/.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)))
cost-diff	5	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(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	37	279
0	64	281
1	134	273
2	471	247
3	2713	245
0	8499	241

Stop Event

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

Calls

Call 1

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

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

localize268.0ms (3.6%)

Memory

29.7MiB live, 365.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.125	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.26953125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.32040214796891936	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.6560723473263	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
accuracy	0.14453125	(*.f64 (neg.f64 x) (cos.f64 x))
accuracy	10.917445674933958	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
accuracy	26.14830020895454	(/.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)))
accuracy	30.036386139240726	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))
accuracy	0.19921875	(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
accuracy	15.55412550119758	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x))
accuracy	15.968626622213508	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	30.55611148556117	#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	30.178900834696055	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.125	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.1953125	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
accuracy	0.32040214796891936	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.178466238693469	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))

Samples

110.0ms	127×	0	valid
79.0ms	67×	2	valid
27.0ms	42×	1	valid
22.0ms	20×	3	valid

Compiler

Compiled 235 to 36 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-pow2: 75.0ms (37.1% of total)

ival-mult: 33.0ms (16.3% of total)

ival-cos: 22.0ms (10.9% of total)

ival-add: 20.0ms (9.9% of total)

adjust: 16.0ms (7.9% of total)

ival-div: 15.0ms (7.4% of total)

const: 8.0ms (4% of total)

ival-sin: 7.0ms (3.5% of total)

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

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series19.0ms (0.3%)

Memory

-21.0MiB live, 23.6MiB allocated

Counts

18 → 63

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	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)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* (/ -1 x) (* x x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (* (+ (* -1/720 (* x x)) 1/24) x) (* (neg x) (cos x)))
6.0ms	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)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* (/ -1 x) (* x x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (* (+ (* -1/720 (* x x)) 1/24) x) (* (neg x) (cos x)))
3.0ms	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)) (cos x) (+ (* (* x x) (+ (* (* (+ (* -1/720 (* x x)) 1/24) x) x) -1/2)) 1) (* (/ -1 x) (* x x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) (+ (cos x) 1) (* (+ (* -1/720 (* x x)) 1/24) x) (* (neg x) (cos x)))

Time

Variable

Point

Expression

9.0ms

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

6.0ms

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

3.0ms

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

simplify114.0ms (1.5%)

Memory

46.2MiB live, 133.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	658
1	495	650
2	1424	637
3	3863	626
0	8402	585

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

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

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

rewrite200.0ms (2.7%)

Memory

36.7MiB live, 278.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	204
0	64	189
1	238	171
2	1732	162
0	9223	160

Stop Event

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

Counts

18 → 1 012

Calls

Call 1

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

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

eval521.0ms (7.1%)

Memory: -57.5MiB live, 162.3MiB allocated
Compiler: Compiled 18 473 to 2 328 computations (87.4% saved)

prune25.0ms (0.3%)

Memory

20.3MiB live, 65.6MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	730	12	742
Fresh	8	6	14
Picked	3	2	5
Done	0	1	1
Total	741	21	762

Accuracy

100.0%

Counts

762 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.7%	(/.f64 (fma.f64 x x (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
	74.5%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
	24.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	50.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	40.8%	(/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
✓	49.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.1%	(/.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))
	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	49.2%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
▶	50.7%	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) (neg.f64 x))
▶	99.8%	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
	74.9%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	40.8%	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.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))))
	53.8%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	51.4%	#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)))
	52.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
▶	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	52.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	99.6%	#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))

Compiler

Compiled 623 to 418 computations (32.9% saved)

simplify111.0ms (1.5%)

Memory

-2.1MiB live, 143.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	162
0	51	162
1	99	160
2	238	160
3	591	142
4	1644	142
5	5405	142
0	8253	142

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2.3%)

Memory

-18.1MiB live, 259.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.1953125	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
accuracy	15.18782758549799	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
accuracy	0.0	(cos.f64 x)
accuracy	0.0703125	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) (neg.f64 x))
accuracy	0.1328125	(/.f64 (cos.f64 x) x)
accuracy	31.007936766191026	(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))
accuracy	0.0	(cos.f64 x)
accuracy	0.0703125	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy	14.713795613345704	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	15.968626622213508	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	0.0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy	30.876178322471016	#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	0.0703125	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
accuracy	0.12109375	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
accuracy	0.18359375	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))

Samples

58.0ms	60×	2	valid
38.0ms	127×	0	valid
29.0ms	68×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 158 to 30 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-cos: 28.0ms (31.8% of total)

ival-div: 21.0ms (23.8% of total)

ival-mult: 8.0ms (9.1% of total)

ival-sin: 8.0ms (9.1% of total)

adjust: 7.0ms (7.9% of total)

ival-tan: 5.0ms (5.7% of total)

const: 4.0ms (4.5% of total)

ival-add: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

20 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

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

5.0ms

-inf

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

2.0ms

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

simplify157.0ms (2.1%)

Memory

-12.3MiB live, 172.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	600
1	401	599
2	1117	592
3	4615	592
0	8637	548

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

rewrite208.0ms (2.8%)

Memory

18.8MiB live, 220.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	134
0	51	134
1	164	114
2	1092	114
0	8220	114

Stop Event

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

Counts

20 → 1 538

Calls

Call 1

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

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

eval91.0ms (1.2%)

Memory: 1.3MiB live, 146.2MiB allocated
Compiler: Compiled 15 898 to 2 410 computations (84.8% saved)

prune35.0ms (0.5%)

Memory

-22.6MiB live, 67.7MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	749	14	763
Fresh	3	10	13
Picked	2	3	5
Done	0	3	3
Total	754	30	784

Accuracy

100.0%

Counts

784 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
▶	49.4%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	49.5%	(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 x x))
	50.0%	(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (.f64 x x))
	50.0%	(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (.f64 x (.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))) (*.f64 x x))
	49.2%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (.f64 x #s(literal -1 binary64))) (.f64 x x)) (neg.f64 x))
	49.2%	(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (neg.f64 (cos.f64 x)))) (.f64 x x)) x)
	24.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
✓	50.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	76.0%	(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
	28.7%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
	50.7%	(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
	40.8%	(/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
✓	49.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.1%	(/.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))
▶	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	49.2%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	3.6%	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (cos x) x) 1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 x))
	50.7%	(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) x)
	74.9%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
▶	40.8%	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
	49.2%	(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
✓	75.2%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
	71.1%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
	75.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	53.8%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	51.4%	#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)))
	52.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	52.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 837 to 557 computations (33.5% saved)

simplify144.0ms (2%)

Memory

6.9MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(/.f64 (cos.f64 x) x)
cost-diff	1	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	6	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
cost-diff	0	(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
cost-diff	0	#s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))
cost-diff	0	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
cost-diff	2	(.f64 (neg.f64 x) (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x)
cost-diff	0	(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
cost-diff	3	(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	195
0	59	190
1	127	184
2	344	179
3	886	169
4	2532	161
5	5717	161
0	8216	161

Stop Event

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

Calls

Call 1

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

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

localize225.0ms (3%)

Memory

31.7MiB live, 264.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(cos.f64 x)
accuracy	0.1328125	(/.f64 (cos.f64 x) x)
accuracy	31.567943689402874	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
accuracy	0.0	(neg.f64 (cos.f64 x))
accuracy	0.0	(cos.f64 x)
accuracy	0.5467579206783746	(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
accuracy	31.94551721105043	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
accuracy	0.0703125	(.f64 (neg.f64 x) (.f64 x x))
accuracy	0.15625	(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
accuracy	15.968626622213508	(+.f64 #s(literal -1 binary64) (cos.f64 x))
accuracy	26.14830020895454	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	15.55412550119758	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	15.968626622213508	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	28.216289442775867	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 x)
accuracy	0.0703125	(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
accuracy	0.1953125	(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
accuracy	14.713795613345704	(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x)

Samples

61.0ms	67×	2	valid
52.0ms	127×	0	valid
30.0ms	20×	3	valid
23.0ms	42×	1	valid

Compiler

Compiled 179 to 34 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-cos: 42.0ms (29.9% of total)

ival-mult: 33.0ms (23.5% of total)

adjust: 20.0ms (14.3% of total)

ival-div: 17.0ms (12.1% of total)

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

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

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

ival-pow: 4.0ms (2.9% of total)

ival-sub: 4.0ms (2.9% of total)

ival-neg: 3.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-24.2MiB live, 39.0MiB allocated

Counts

21 → 62

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

25.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify170.0ms (2.3%)

Memory

20.3MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	656
1	407	648
2	1222	634
3	4949	634
0	8499	596

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

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

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

rewrite217.0ms (2.9%)

Memory

-2.6MiB live, 188.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	163
0	59	162
1	219	139
2	1798	124
0	10402	119

Stop Event

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

Counts

21 → 807

Calls

Call 1

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

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

eval195.0ms (2.6%)

Memory: 10.3MiB live, 144.9MiB allocated
Compiler: Compiled 15 646 to 2 217 computations (85.8% saved)

prune61.0ms (0.8%)

Memory

-27.3MiB live, 73.4MiB allocated

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	787	5	792
Fresh	4	15	19
Picked	0	5	5
Done	0	6	6
Total	791	31	822

Accuracy

100.0%

Counts

822 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
✓	49.4%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	27.8%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
	49.7%	(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
	50.0%	(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (.f64 x x))
	50.0%	(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (.f64 x (.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))) (*.f64 x x))
	49.2%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (.f64 x #s(literal -1 binary64))) (.f64 x x)) (neg.f64 x))
	49.2%	(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (neg.f64 (cos.f64 x)))) (.f64 x x)) x)
	24.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
✓	50.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	76.0%	(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
	28.7%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
	50.7%	(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
	31.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
	27.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
✓	49.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	2.1%	(/.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))
✓	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	49.2%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	50.7%	(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) x)
	74.9%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	40.8%	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (fma.f64 x #s(literal -1 binary64) (.f64 (cos.f64 x) x))) (.f64 (neg.f64 x) (*.f64 x x)))
✓	40.8%	(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
	49.2%	(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
✓	75.2%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
	71.1%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
	75.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	51.4%	#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)))
	52.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	52.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 277 to 518 computations (59.4% saved)

regimes42.0ms (0.6%)

Memory

-8.9MiB live, 35.9MiB allocated

Counts

51 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes20.0ms (0.3%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes44.0ms (0.6%)

Memory

-16.9MiB live, 28.3MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

32.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
10.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.1%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.7%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.0%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.8%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.6%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes76.0ms (1%)

Memory

-70.6MiB live, 25.6MiB allocated

Accuracy

Total -0.8b remaining (-2.7%)

Threshold costs -0.8b (-2.7%)

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:

57.0ms	x
19.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
52.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch8.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	0.07626248018271473	152.99671619259894

Samples

4.0ms

80×

valid

Compiler

Compiled 176 to 140 computations (20.5% saved)

Precisions

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

ival-cos: 1.0ms (39.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.5%)

Memory

-30.5MiB live, 15.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.225751843521012e-5	0.07626248018271473

Samples

6.0ms

128×

valid

Compiler

Compiled 195 to 162 computations (16.9% saved)

Precisions

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

ival-sub: 1.0ms (29.1% of total)

ival-div: 1.0ms (29.1% of total)

ival-cos: 1.0ms (29.1% of total)

ival-mult: 1.0ms (29.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.225751843521012e-5	0.07626248018271473

Compiler

Compiled 195 to 162 computations (16.9% saved)

bsearch11.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.07626248018271473	152.99671619259894

Samples

6.0ms

96×

valid

Compiler

Compiled 291 to 218 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 3.0ms (70% of total)

ival-mult: 1.0ms (23.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1008818206.3126439	4094665384.913178

Samples

7.0ms

96×

valid

Compiler

Compiled 215 to 160 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (62.3% of total)

ival-mult: 1.0ms (20.8% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch54.0ms (0.7%)

Memory

-28.9MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	1.2057138997947019e+33	7.135871451744735e+43

Samples

46.0ms

160×

valid

Compiler

Compiled 311 to 240 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 40.0ms (93.3% of total)

ival-sub: 1.0ms (2.3% of total)

ival-div: 1.0ms (2.3% of total)

ival-mult: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.645843547667324e+76	2.6577978482162985e+83

Samples

10.0ms

144×

valid

Compiler

Compiled 191 to 163 computations (14.7% saved)

Precisions

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

ival-cos: 5.0ms (69.9% of total)

ival-sub: 1.0ms (14% of total)

ival-div: 1.0ms (14% of total)

ival-mult: 1.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

simplify79.0ms (1.1%)

Memory

-4.6MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	272
1	118	272
2	207	269
3	514	269
4	1486	269
5	3180	269
6	4844	269
7	7934	269

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 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) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 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 (neg.f64 x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 3500000000 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 580000000000000013388349280115010568192 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 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
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 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) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 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 (neg.f64 x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 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 3500000000 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 580000000000000013388349280115010568192 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 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))

soundness1.1s (14.3%)

Memory

-5.5MiB live, 806.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	163
0	59	162
1	219	139
2	1798	124
0	10402	119
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17
0	166	658
1	495	650
2	1424	637
3	3863	626
0	8402	585
0	37	204
0	64	189
1	238	171
2	1732	162
0	9223	160
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	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 425 to 173 computations (59.3% saved)

preprocess57.0ms (0.8%)

Memory: 6.1MiB live, 94.2MiB allocated
Remove: (abs x)
Compiler: Compiled 582 to 178 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.7s (23.7%)

explain225.0ms (3%)

preprocess195.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify134.0ms (1.8%)

localize75.0ms (1%)

series3.0ms (0%)

simplify221.0ms (3%)

rewrite143.0ms (1.9%)

eval15.0ms (0.2%)

prune18.0ms (0.2%)

simplify87.0ms (1.2%)

localize268.0ms (3.6%)

series19.0ms (0.3%)

simplify114.0ms (1.5%)

rewrite200.0ms (2.7%)

eval521.0ms (7.1%)

prune25.0ms (0.3%)

simplify111.0ms (1.5%)

localize171.0ms (2.3%)

series14.0ms (0.2%)

simplify157.0ms (2.1%)

rewrite208.0ms (2.8%)

eval91.0ms (1.2%)

prune35.0ms (0.5%)

simplify144.0ms (2%)

localize225.0ms (3%)

series31.0ms (0.4%)

simplify170.0ms (2.3%)

rewrite217.0ms (2.9%)

eval195.0ms (2.6%)

prune61.0ms (0.8%)

regimes42.0ms (0.6%)

regimes20.0ms (0.3%)

regimes44.0ms (0.6%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes76.0ms (1%)

bsearch8.0ms (0.1%)

bsearch33.0ms (0.5%)

bsearch1.0ms (0%)

bsearch11.0ms (0.2%)

bsearch12.0ms (0.2%)

bsearch54.0ms (0.7%)

bsearch17.0ms (0.2%)

simplify79.0ms (1.1%)

soundness1.1s (14.3%)

preprocess57.0ms (0.8%)

end0.0ms (0%)

Profiling