Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.0s (28.3%)

Memory

19.4MiB live, 1 886.6MiB allocated; 444ms collecting garbage

Samples

721.0ms	2 242×	2	valid
446.0ms	4 125×	0	valid
323.0ms	648×	3	valid
131.0ms	1 241×	1	valid

Precisions

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

ival-cos: 849.0ms (62.4% of total)

adjust: 171.0ms (12.6% of total)

ival-div: 136.0ms (10% of total)

ival-mult: 106.0ms (7.8% of total)

ival-sub: 85.0ms (6.2% of total)

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

exact: 6.0ms (0.4% of total)

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

Bogosity

explain136.0ms (1.9%)

Memory

30.9MiB live, 167.4MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
78	2	(1.7607401305479162e+293)	3	(-5.2672036491056706e+281)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
61	0	-	1	(3.2254709398433883e-156)	`(/.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	77	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	56	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	56
↳	`(*.f64 x x)`	underflow	56
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	4	0
↳	`(*.f64 x x)`	overflow	65

Confusion

	Predicted +	Predicted -
+	132	2
-	4	118

Precision

0.9705882352941176

Recall

0.9850746268656716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	2	0
-	4	4	114

Precision?

0.9436619718309859

Recall?

1.0

Freqs

test

number	freq
0	120
1	135
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	124×	2	valid
23.0ms	260×	0	valid
20.0ms	42×	3	valid
10.0ms	86×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-cos: 45.0ms (63.9% of total)

adjust: 9.0ms (12.8% of total)

ival-sub: 7.0ms (9.9% of total)

ival-div: 6.0ms (8.5% of total)

ival-mult: 4.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess137.0ms (1.9%)

Memory

-15.7MiB live, 124.3MiB allocated; 18ms collecting garbage

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify111.0ms (1.6%)

Memory

22.1MiB live, 117.6MiB allocated; 13ms collecting garbage

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)

localize66.0ms (0.9%)

Memory

-2.8MiB live, 42.2MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(cos.f64 x)
accuracy	14.04931718073217	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
accuracy	15.932407667750503	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

27.0ms	130×	0	valid
17.0ms	62×	2	valid
10.0ms	21×	3	valid
5.0ms	43×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-cos: 22.0ms (43.7% of total)

ival-div: 19.0ms (37.8% of total)

adjust: 4.0ms (7.9% of total)

ival-sub: 3.0ms (6% of total)

ival-mult: 2.0ms (4% 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

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

4 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

simplify188.0ms (2.7%)

Memory

4.1MiB live, 147.6MiB allocated; 32ms collecting garbage

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)

rewrite118.0ms (1.7%)

Memory

-25.0MiB live, 160.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 132

Calls

Call 1

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

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

eval14.0ms (0.2%)

Memory: 26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune17.0ms (0.2%)

Memory

-15.3MiB live, 30.1MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

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

Accuracy

100.0%

Counts

149 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	27.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	53.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	17.0%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	14.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
✓	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	39.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
▶	3.0%	(/.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))
	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	77.0%	(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 x x))
	77.1%	(/.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)))
	53.6%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
▶	77.6%	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	77.6%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
	50.1%	#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)))
	49.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	50.4%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 486 to 322 computations (33.7% saved)

simplify143.0ms (2%)

Memory

4.4MiB live, 190.1MiB allocated; 35ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	232
0	59	232
1	115	223
2	335	223
3	1273	222
4	4208	222
0	8166	220

Stop Event

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

Calls

Call 1

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

localize805.0ms (11.4%)

Memory

-33.9MiB live, 367.9MiB allocated; 1.1s collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.270195019536884	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.47983589463873777	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	14.052772347851624	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
accuracy	0.00390625	(cos.f64 x)
accuracy	14.04931718073217	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
accuracy	15.271293693357343	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	15.932407667750503	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	0.31848960029272183	(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	14.04931718073217	(/.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	15.932407667750503	(-.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	31.99963532613867	#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	31.758195076407873	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.16796875	(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	0.203125	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
accuracy	0.47983589463873777	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	13.479241757776617	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

66.0ms	63×	2	valid
52.0ms	19×	3	valid
37.0ms	130×	0	valid
34.0ms	44×	1	valid

Compiler

Compiled 188 to 33 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-div: 38.0ms (23.4% of total)

adjust: 35.0ms (21.5% of total)

ival-mult: 23.0ms (14.1% of total)

ival-cos: 21.0ms (12.9% of total)

ival-pow2: 14.0ms (8.6% of total)

const: 8.0ms (4.9% of total)

ival-add: 8.0ms (4.9% of total)

ival-sin: 8.0ms (4.9% of total)

ival-pow: 3.0ms (1.8% of total)

ival-sub: 2.0ms (1.2% of total)

ival-sqrt: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series10.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

18 → 54

Calls

Call 1

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

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 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))))
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)))
(* 1/2 (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)
(* 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))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(/ (sin x) (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(+ 1 (cos 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)))))
(* x (+ 1 (cos x)))
(pow (sin x) 2)
(/ (sin x) (pow x 2))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (sin x) (+ (cos x) 1) (/ (- 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) (sqrt (pow x 4)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (pow (sin x) 2) (/ (sin x) (* x x)) (+ (* -1/720 (* x x)) 1/24))
3.0ms	x	@	inf	((/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (sin x) (+ (cos x) 1) (/ (- 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) (sqrt (pow x 4)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (pow (sin x) 2) (/ (sin x) (* x x)) (+ (* -1/720 (* x x)) 1/24))
2.0ms	x	@	0	((/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (sin x) (+ (cos x) 1) (/ (- 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) (sqrt (pow x 4)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (pow (sin x) 2) (/ (sin x) (* x x)) (+ (* -1/720 (* x x)) 1/24))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify150.0ms (2.1%)

Memory

16.9MiB live, 148.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	553
1	424	551
2	1214	539
3	4161	539
0	8692	499

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 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))))
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)))
(* 1/2 (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)
(* 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))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(/ (sin x) (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(+ 1 (cos 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)))))
(* x (+ 1 (cos x)))
(pow (sin x) 2)
(/ (sin x) (pow x 2))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))

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

rewrite253.0ms (3.6%)

Memory

-26.5MiB live, 265.1MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	172
0	59	174
1	209	156
2	1434	156
0	8419	156

Stop Event

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

Counts

18 → 905

Calls

Call 1

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

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

eval125.0ms (1.8%)

Memory: 3.4MiB live, 148.5MiB allocated; 28ms collecting garbage
Compiler: Compiled 20 860 to 2 673 computations (87.2% saved)

prune23.0ms (0.3%)

Memory

16.3MiB live, 61.3MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	704	9	713
Fresh	6	6	12
Picked	2	3	5
Done	0	1	1
Total	712	19	731

Accuracy

100.0%

Counts

731 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	53.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	17.0%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
	2.3%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) #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 (.f64 (neg.f64 x) x) (.f64 x x)))
	3.2%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 (neg.f64 x) x) x))
✓	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	39.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
✓	3.0%	(/.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))
	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.3%	(/.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))
	77.3%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 x) x))
▶	27.7%	(/.f64 #s(approx (- 1 (cos x)) (.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)) (.f64 x x))
	52.5%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
▶	99.8%	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
	77.9%	(.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
	50.1%	#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)))
▶	49.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	50.4%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	78.0%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))

Compiler

Compiled 636 to 398 computations (37.4% saved)

simplify81.0ms (1.1%)

Memory

26.5MiB live, 111.2MiB allocated; 19ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	251
0	66	243
1	131	238
2	388	225
3	2111	225
4	6797	225
0	8216	225

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (3.2%)

Memory

-29.0MiB live, 281.1MiB allocated; 63ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(*.f64 (neg.f64 x) (cos.f64 x))
accuracy	11.000194118277925	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
accuracy	25.804230864959976	(/.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	28.32208565193902	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))
accuracy	0.00390625	(cos.f64 x)
accuracy	0.06640625	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy	13.130985349489432	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	15.932407667750503	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	0.05078125	(.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)
accuracy	0.37708335029272183	(.f64 #s(literal 1/720 binary64) (.f64 x x))
accuracy	14.04931718073217	(/.f64 #s(approx (- 1 (cos x)) (.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)) (.f64 x x))
accuracy	31.570632313323827	#s(approx (- 1 (cos x)) (.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))
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy	32.2674668038499	#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	0.1171875	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
accuracy	0.1484375	(/.f64 (sin.f64 x) x)
accuracy	0.16015625	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)

Samples

73.0ms	62×	2	valid
48.0ms	130×	0	valid
29.0ms	21×	3	valid
23.0ms	43×	1	valid

Compiler

Compiled 216 to 37 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

const: 28.0ms (19.7% of total)

ival-cos: 27.0ms (19% of total)

ival-div: 24.0ms (16.9% of total)

ival-mult: 22.0ms (15.4% of total)

adjust: 18.0ms (12.6% of total)

ival-sub: 6.0ms (4.2% of total)

ival-tan: 6.0ms (4.2% of total)

ival-sin: 5.0ms (3.5% of total)

ival-add: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series26.0ms (0.4%)

Memory

-6.0MiB live, 36.7MiB allocated; 24ms collecting garbage

Counts

23 → 63

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

inf

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

5.0ms

-inf

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

3.0ms

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

simplify168.0ms (2.4%)

Memory

6.7MiB live, 191.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	671
1	444	663
2	1237	661
3	4549	661
0	8487	621

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

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

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

rewrite191.0ms (2.7%)

Memory

19.2MiB live, 210.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	206
0	66	199
1	220	186
2	1489	175
0	9090	174

Stop Event

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

Counts

23 → 1 303

Calls

Call 1

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

Outputs
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (.f64 x x)) (/.f64 (sin.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x))
(.f64 (/.f64 (sin.f64 x) (.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (/.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (fma.f64 (neg.f64 x) (cos.f64 x) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(.f64 (/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 x) (*.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 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x)))) x)
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal -2 binary64))))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal -2 binary64))))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (neg.f64 (sin.f64 x)))) (.f64 x x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 x) x x) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 x) x x) x) x)) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) (cos.f64 x))))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (sin.f64 x) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))) x))
(/.f64 (.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)) (.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))) x))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) x)) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) x)) (.f64 (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) x))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) x)) (.f64 (neg.f64 (sin.f64 x)) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 (sin.f64 x) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x)))
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x (*.f64 (sin.f64 x) x)))
(/.f64 (.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))) (*.f64 x x)))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (.f64 (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x)) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) (neg.f64 x)))) (.f64 x x))
(/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 x (.f64 x (/.f64 (.f64 (cos.f64 x) x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 (cos.f64 x) x))) (.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 x (.f64 (neg.f64 x) (/.f64 (.f64 (cos.f64 x) x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 x (.f64 (.f64 x x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 (cos.f64 x) x) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) (cos.f64 x)))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 x) x) x))) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 (cos.f64 x) x))) (.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (.f64 (cos.f64 x) x) x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x) (.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (.f64 x x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x) (.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) x (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x) (.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) (neg.f64 x)))) (.f64 x x))
(/.f64 (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
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(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 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 (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))
(-.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 x (.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 x (*.f64 (cos.f64 x) x))))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 x) (cos.f64 x) x)) (/.f64 (.f64 (.f64 (cos.f64 x) x) (.f64 (neg.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 x) (cos.f64 x) x)))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 x) (cos.f64 x) x)) (/.f64 (.f64 (.f64 (cos.f64 x) x) (.f64 (neg.f64 x) (cos.f64 x))) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) 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 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 x x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (neg.f64 x))
(.f64 (.f64 x x) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (+.f64 x (PI.f64))))
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal 1/720 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/720 binary64) x)) x)
(.f64 (.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/720 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/720 binary64)))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/720 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/720 binary64) x)))
(.f64 x (.f64 #s(literal 1/720 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x))))
(fabs.f64 (.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))

eval138.0ms (2%)

Memory: -21.9MiB live, 225.7MiB allocated; 82ms collecting garbage
Compiler: Compiled 21 992 to 3 134 computations (85.7% saved)

prune79.0ms (1.1%)

Memory

-13.9MiB live, 87.5MiB allocated; 22ms collecting garbage

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	995	11	1 006
Fresh	1	9	10
Picked	1	4	5
Done	1	3	4
Total	998	27	1 025

Accuracy

100.0%

Counts

1 025 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (.f64 x x)))
	17.4%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (.f64 x x)))
▶	41.8%	(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (*.f64 x x)))
	52.2%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
	27.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	52.1%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
✓	53.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	4.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) x)
▶	2.7%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (.f64 x x)))
	2.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) (*.f64 x x)))
	2.3%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) #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 (.f64 (neg.f64 x) x) (.f64 x x)))
	3.2%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 (neg.f64 x) x) x))
✓	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	3.0%	(/.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))
▶	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.3%	(/.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))
	52.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
	77.3%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (neg.f64 (sin.f64 x))) (.f64 x x))
	41.8%	(/.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)))
✓	27.7%	(/.f64 #s(approx (- 1 (cos x)) (.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)) (.f64 x x))
	52.5%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
✓	99.8%	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
	77.9%	(.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
	50.1%	#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)))
✓	49.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	50.4%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
▶	78.0%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))

Compiler

Compiled 892 to 550 computations (38.3% saved)

simplify82.0ms (1.2%)

Memory

35.0MiB live, 126.0MiB allocated; 10ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	288
0	71	286
1	165	261
2	652	223
3	3366	222
4	7716	222
0	8002	222

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (3.5%)

Memory

-30.4MiB live, 303.2MiB allocated; 63ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
accuracy	0.1484375	(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))
accuracy	11.000194118277925	(-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))
accuracy	34.1366422595191	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))
accuracy	0.09375	(.f64 (neg.f64 x) (.f64 x x))
accuracy	0.1484375	(*.f64 (cos.f64 x) x)
accuracy	11.000194118277925	(fma.f64 #s(literal -1 binary64) x (*.f64 (cos.f64 x) x))
accuracy	25.804230864959976	(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (*.f64 x x)))
accuracy	11.000194118277925	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))
accuracy	25.804230864959976	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (.f64 x x)))
accuracy	28.32208565193902	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))
accuracy	32.02558589985337	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	14.04931718073217	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	15.932407667750503	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	29.197916077604923	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 x)
accuracy	0.0	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
accuracy	0.19207001953688405	(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))
accuracy	13.50700176324831	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))

Samples

90.0ms	62×	2	valid
51.0ms	130×	0	valid
43.0ms	43×	1	valid
26.0ms	21×	3	valid

Compiler

Compiled 247 to 39 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

adjust: 44.0ms (25.9% of total)

ival-mult: 36.0ms (21.2% of total)

ival-div: 28.0ms (16.5% of total)

ival-cos: 21.0ms (12.4% of total)

ival-sin: 19.0ms (11.2% of total)

ival-sub: 6.0ms (3.5% of total)

ival-add: 6.0ms (3.5% of total)

ival-tan: 5.0ms (2.9% of total)

ival-neg: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series10.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

22 → 59

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify135.0ms (1.9%)

Memory

-14.1MiB live, 182.5MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	627
1	451	610
2	1338	605
3	3645	599
0	8360	557

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

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

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

rewrite159.0ms (2.3%)

Memory

8.7MiB live, 153.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	221
0	71	207
1	267	187
2	2110	162
0	9242	155

Stop Event

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

Counts

22 → 641

Calls

Call 1

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

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

eval94.0ms (1.3%)

Memory: 1.8MiB live, 89.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 16 821 to 1 906 computations (88.7% saved)

prune60.0ms (0.9%)

Memory

-1.7MiB live, 60.6MiB allocated; 9ms collecting garbage

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	668	9	677
Fresh	3	12	15
Picked	2	3	5
Done	1	6	7
Total	674	30	704

Accuracy

100.0%

Counts

704 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (.f64 (cos.f64 x) x) (neg.f64 x)) (.f64 x x)))
	17.4%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) (.f64 x x)))
	1.3%	(/.f64 (fma.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x x) (.f64 (neg.f64 x) (*.f64 x x)))
	52.2%	(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
	27.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
✓	52.1%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
✓	53.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	4.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	2.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) (*.f64 x x)))
	41.8%	(/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (.f64 (neg.f64 x) (*.f64 x x)))
	2.3%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) #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 (.f64 (neg.f64 x) x) (.f64 x x)))
	3.2%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 (neg.f64 x) x) x))
	27.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
✓	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	3.0%	(/.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))
✓	27.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
	41.8%	(/.f64 (.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (.f64 (neg.f64 x) (*.f64 x x)))
	1.5%	(/.f64 (neg.f64 (/.f64 (fma.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x x) (.f64 x x))) x)
	1.9%	(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x x) x) x)) x)
✓	27.7%	(/.f64 #s(approx (- 1 (cos x)) (.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)) (.f64 x x))
	52.5%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
	77.9%	(.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
	50.1%	#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)))
✓	49.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	50.4%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	99.8%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
	77.3%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
✓	78.0%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
	51.1%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 #s(approx (/ (tan ( 1/2 x)) (* x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))

Compiler

Compiled 1 390 to 557 computations (59.9% saved)

regimes34.0ms (0.5%)

Memory

-4.4MiB live, 39.4MiB allocated; 8ms collecting garbage

Counts

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

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

Calls

2 calls:

21.0ms	x
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes49.0ms (0.7%)

Memory

-14.1MiB live, 29.4MiB allocated; 8ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
9.0ms	x

Results

Accuracy	Segments	Branch
99.2%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #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:

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

Results

Accuracy	Segments	Branch
75.3%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
98.9%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
75.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.3%)

Memory

-35.5MiB live, 8.1MiB allocated; 7ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

16.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
50.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
75.1%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.8b remaining (-2.6%)

Threshold costs -0.8b (-2.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
50.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.8280666943174447e-5	0.11187244249067427

Samples

6.0ms

128×

valid

Compiler

Compiled 195 to 162 computations (16.9% saved)

Precisions

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

ival-sub: 1.0ms (26.3% of total)

ival-div: 1.0ms (26.3% of total)

ival-cos: 1.0ms (26.3% of total)

ival-mult: 1.0ms (26.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.8280666943174447e-5	0.11187244249067427

Compiler

Compiled 195 to 162 computations (16.9% saved)

bsearch34.0ms (0.5%)

Memory

-39.9MiB live, 20.0MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	2.777693800465984e+27	3.5100420218277197e+28

Samples

29.0ms

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 (58.7% of total)

ival-mult: 1.0ms (19.6% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.726348916439568e+35	9.017982359042769e+39

Samples

9.0ms

128×

valid

Compiler

Compiled 251 to 194 computations (22.7% saved)

Precisions

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

ival-cos: 4.0ms (60.4% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Memory

-18.7MiB live, 25.5MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.3876419504580205	109.92978327562486

Samples

9.0ms

128×

valid

Compiler

Compiled 211 to 170 computations (19.4% saved)

Precisions

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

ival-cos: 4.0ms (63% of total)

ival-sub: 1.0ms (15.7% of total)

ival-div: 1.0ms (15.7% of total)

ival-mult: 1.0ms (15.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify62.0ms (0.9%)

Memory

31.9MiB live, 77.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	54	191
1	88	188
2	171	188
3	328	188
4	717	188
5	1732	187
6	3116	185
7	4730	185

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 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 5534023222112865/1152921504606846976 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 8999999999999999844710088704 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 749999999999999992560806641659545649152 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 3884354678607053/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 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 5534023222112865/1152921504606846976 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 8999999999999999844710088704 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 749999999999999992560806641659545649152 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 3884354678607053/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

derivations715.0ms (10.1%)

Memory

3.7MiB live, 342.6MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	221
0	71	207
1	267	187
2	2110	162
0	9242	155
0	134	553
1	424	551
2	1214	539
3	4161	539
0	8692	499
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17

Stop Event

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

Compiler

Compiled 185 to 50 computations (73% saved)

preprocess64.0ms (0.9%)

Memory: 7.3MiB live, 53.5MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 466 to 168 computations (63.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample2.0s (28.3%)

explain136.0ms (1.9%)

preprocess137.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify111.0ms (1.6%)

localize66.0ms (0.9%)

series3.0ms (0%)

simplify188.0ms (2.7%)

rewrite118.0ms (1.7%)

eval14.0ms (0.2%)

prune17.0ms (0.2%)

simplify143.0ms (2%)

localize805.0ms (11.4%)

series10.0ms (0.1%)

simplify150.0ms (2.1%)

rewrite253.0ms (3.6%)

eval125.0ms (1.8%)

prune23.0ms (0.3%)

simplify81.0ms (1.1%)

localize226.0ms (3.2%)

series26.0ms (0.4%)

simplify168.0ms (2.4%)

rewrite191.0ms (2.7%)

eval138.0ms (2%)

prune79.0ms (1.1%)

simplify82.0ms (1.2%)

localize248.0ms (3.5%)

series10.0ms (0.1%)

simplify135.0ms (1.9%)

rewrite159.0ms (2.3%)

eval94.0ms (1.3%)

prune60.0ms (0.9%)

regimes34.0ms (0.5%)

regimes49.0ms (0.7%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes18.0ms (0.3%)

regimes3.0ms (0%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch34.0ms (0.5%)

bsearch16.0ms (0.2%)

bsearch28.0ms (0.4%)

simplify62.0ms (0.9%)

derivations715.0ms (10.1%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling