Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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 (28.1%)

Memory

43.8MiB live, 2 092.8MiB allocated; 448ms collecting garbage

Samples

763.0ms	2 266×	2	valid
399.0ms	641×	3	valid
377.0ms	4 104×	0	valid
137.0ms	1 245×	1	valid

Precisions

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

ival-cos: 914.0ms (63.8% of total)

adjust: 153.0ms (10.7% of total)

ival-div: 150.0ms (10.5% of total)

ival-sub: 143.0ms (10% of total)

ival-mult: 57.0ms (4% of total)

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

exact: 5.0ms (0.3% of total)

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

Bogosity

explain135.0ms (1.9%)

Memory

12.6MiB live, 206.5MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
68	0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
62	1	(9.244553816168311e+31)	1	(2.997036299118643e+119)	`(-.f64 #s(literal 1 binary64) (cos.f64 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	67	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	67
↳	`(*.f64 x x)`	underflow	67
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	62	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	1	0
↳	`(*.f64 x x)`	overflow	67

Confusion

	Predicted +	Predicted -
+	129	0
-	1	126

Precision

0.9923076923076923

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	1	6	120

Precision?

0.9485294117647058

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	118×	2	valid
21.0ms	260×	0	valid
20.0ms	50×	3	valid
9.0ms	84×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-cos: 39.0ms (61.4% of total)

adjust: 9.0ms (14.2% of total)

ival-div: 6.0ms (9.4% of total)

ival-sub: 5.0ms (7.9% of total)

ival-mult: 4.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess146.0ms (2%)

Memory

-28.4MiB live, 156.6MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify113.0ms (1.6%)

Memory

20.1MiB live, 117.8MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (0.7%)

Memory

2.8MiB live, 48.2MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	13.612416254848892	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.353243574602807	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

18.0ms	59×	2	valid
10.0ms	130×	0	valid
9.0ms	25×	3	valid
5.0ms	42×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 20.0ms (60.1% of total)

adjust: 4.0ms (12% of total)

ival-sub: 4.0ms (12% of total)

ival-div: 3.0ms (9% of total)

ival-mult: 2.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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))

simplify166.0ms (2.3%)

Memory

7.2MiB live, 147.2MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite98.0ms (1.4%)

Memory

-23.2MiB live, 67.8MiB allocated; 8ms 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)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
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(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval14.0ms (0.2%)

Memory: 23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune11.0ms (0.2%)

Memory

19.9MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	132	16	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	17	149

Accuracy

100.0%

Counts

149 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	25.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	52.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	18.4%	(/.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)))
▶	19.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
	12.7%	(/.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)))
	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
✓	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	50.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	28.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	73.4%	(/.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)))
	52.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
▶	73.9%	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
▶	73.9%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
	50.0%	#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)))
▶	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 476 to 310 computations (34.9% saved)

simplify696.0ms (9.7%)

Memory

-52.8MiB live, 192.4MiB allocated; 1.2s collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
cost-diff	1	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	2	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
cost-diff	0	(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	2	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
cost-diff	4	(.f64 (.f64 x x) (/.f64 (cos.f64 x) x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(+.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	29	176
0	48	164
1	99	152
2	328	144
3	2086	144
4	5754	144
0	8112	142

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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (.f64 x x) (/.f64 (cos.f64 x) x))
(*.f64 x x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)

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

localize195.0ms (2.7%)

Memory

42.2MiB live, 224.9MiB allocated; 107ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.1953125	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
accuracy	0.30360836664709406	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.658236875361714	(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
accuracy	0.10546875	(/.f64 (cos.f64 x) x)
accuracy	10.594440732652865	(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
accuracy	24.09416914933027	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
accuracy	31.264991245972578	(.f64 (.f64 x x) (/.f64 (cos.f64 x) x))
accuracy	0.0	(cos.f64 x)
accuracy	0.078125	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy	13.612416254848892	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.654734515871827	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	31.630601920604402	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.166347509768442	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
accuracy	0.1875	(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	0.30360836664709406	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.712463092649811	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

48.0ms	59×	2	valid
44.0ms	42×	1	valid
35.0ms	24×	3	valid
31.0ms	130×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 176 to 27 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 44.0ms (32.8% of total)

ival-div: 34.0ms (25.3% of total)

ival-cos: 21.0ms (15.6% of total)

adjust: 19.0ms (14.1% of total)

ival-sin: 6.0ms (4.5% of total)

ival-sub: 4.0ms (3% of total)

ival-pow: 3.0ms (2.2% of total)

ival-add: 3.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory

-18.8MiB live, 25.0MiB allocated; 31ms collecting garbage

Counts

18 → 65

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 (-.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 x x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) x)
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) x)

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

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	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)) x) (- 1 (cos x)) (cos x) (* (* x x) (/ (cos x) x)) (/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (pow x 3)) (* 1 x) (- (* 1 x) (* (* x x) (/ (cos x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* x x)) (/ (cos x) x))
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)) x) (- 1 (cos x)) (cos x) (* (* x x) (/ (cos x) x)) (/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (pow x 3)) (* 1 x) (- (* 1 x) (* (* x x) (/ (cos x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* x x)) (/ (cos x) x))
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)) x) (- 1 (cos x)) (cos x) (* (* x x) (/ (cos x) x)) (/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (pow x 3)) (* 1 x) (- (* 1 x) (* (* x x) (/ (cos x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* x x)) (/ (cos x) x))

Time

Variable

Point

Expression

19.0ms

-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)) x) (- 1 (cos x)) (cos x) (* (* x x) (/ (cos x) x)) (/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (pow x 3)) (* 1 x) (- (* 1 x) (* (* x x) (/ (cos x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* x x)) (/ (cos x) x))

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)) x) (- 1 (cos x)) (cos x) (* (* x x) (/ (cos x) x)) (/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (pow x 3)) (* 1 x) (- (* 1 x) (* (* x x) (/ (cos x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* x x)) (/ (cos x) x))

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)) x) (- 1 (cos x)) (cos x) (* (* x x) (/ (cos x) x)) (/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (pow x 3)) (* 1 x) (- (* 1 x) (* (* x x) (/ (cos x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* x x)) (/ (cos x) x))

simplify163.0ms (2.3%)

Memory

22.4MiB live, 168.6MiB allocated; 69ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	699
1	437	682
2	1262	682
3	3682	682
0	8372	625

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

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

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

rewrite269.0ms (3.8%)

Memory

-13.7MiB live, 288.7MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	137
0	48	137
1	162	107
2	1069	107
0	8547	105

Stop Event

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

Counts

18 → 1 886

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 (-.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 x x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) x)
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
(/.f64 (sin.f64 x) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) x)

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

eval120.0ms (1.7%)

Memory: -9.0MiB live, 219.3MiB allocated; 45ms collecting garbage
Compiler: Compiled 21 262 to 2 837 computations (86.7% saved)

prune30.0ms (0.4%)

Memory

-5.1MiB live, 87.6MiB allocated; 8ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	966	12	978
Fresh	7	4	11
Picked	3	2	5
Done	0	1	1
Total	976	19	995

Accuracy

100.0%

Counts

995 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	73.2%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
	25.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.9%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
✓	52.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	24.6%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
	52.7%	(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
✓	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	28.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	99.8%	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
	44.4%	(/.f64 #s(approx (- (* 1 x) (* (* x x) (/ (cos x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 x #s(literal 3 binary64)))
	52.5%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
▶	74.1%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
▶	51.5%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	74.1%	(.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
	50.0%	#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)))
✓	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	99.7%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 546 to 364 computations (33.3% saved)

simplify140.0ms (2%)

Memory

7.4MiB live, 108.4MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
cost-diff	0	#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	6	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
cost-diff	0	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
cost-diff	3	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	203
0	59	200
1	117	188
2	270	188
3	670	185
4	1579	179
5	3945	179
6	6460	179
0	8030	179

Stop Event

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

Calls

Call 1

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

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

localize216.0ms (3%)

Memory

-11.6MiB live, 198.3MiB allocated; 58ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
accuracy	0.0078125	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.1953125	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
accuracy	15.882519102499307	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
accuracy	0.0	(neg.f64 (cos.f64 x))
accuracy	0.0	(cos.f64 x)
accuracy	0.17512847661783104	(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
accuracy	30.63633066138007	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(sin.f64 x)
accuracy	0.1953125	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	30.9928497126166	#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0859375	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy	32.246745644446776	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
accuracy	0.0078125	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.08719503162065376	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
accuracy	0.170253759768442	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
accuracy	0.178066259768442	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))

Samples

116.0ms	125×	1	valid
43.0ms	130×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-cos: 32.0ms (28% of total)

ival-div: 18.0ms (15.7% of total)

ival-mult: 16.0ms (14% of total)

ival-tan: 11.0ms (9.6% of total)

ival-neg: 11.0ms (9.6% of total)

adjust: 10.0ms (8.7% of total)

ival-add: 5.0ms (4.4% of total)

ival-sin: 5.0ms (4.4% of total)

const: 4.0ms (3.5% of total)

ival-sub: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series14.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

20 → 51

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

simplify158.0ms (2.2%)

Memory

-26.4MiB live, 119.7MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	541
1	372	541
2	1081	518
3	4986	518
0	8154	480

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

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

rewrite189.0ms (2.6%)

Memory

1.3MiB live, 135.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	176
0	59	173
1	196	152
2	1346	151
0	8338	151

Stop Event

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

Counts

20 → 866

Calls

Call 1

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

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

eval118.0ms (1.7%)

Memory: 26.2MiB live, 124.7MiB allocated; 23ms collecting garbage
Compiler: Compiled 13 909 to 2 090 computations (85% saved)

prune45.0ms (0.6%)

Memory

7.0MiB live, 52.3MiB allocated; 6ms collecting garbage

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	701	3	704
Fresh	0	11	11
Picked	0	5	5
Done	0	3	3
Total	701	22	723

Accuracy

100.0%

Counts

723 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
▶	29.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
	29.1%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
▶	19.3%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) (.f64 x x)))
	73.2%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
	25.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.9%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
✓	52.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	24.6%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
▶	52.7%	(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
✓	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	28.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
✓	99.8%	(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
	44.4%	(/.f64 #s(approx (- (* 1 x) (* (* x x) (/ (cos x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 x #s(literal 3 binary64)))
	52.5%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
✓	74.1%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
✓	51.5%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	74.1%	(.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
	50.0%	#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)))
✓	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
▶	99.7%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 575 to 366 computations (36.3% saved)

simplify87.0ms (1.2%)

Memory

-33.9MiB live, 67.9MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	210
0	65	198
1	138	190
2	451	184
3	2756	175
4	7524	175
0	8235	175

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

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

localize299.0ms (4.2%)

Memory

8.4MiB live, 245.3MiB allocated; 50ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(/.f64 (cos.f64 x) x)
accuracy	0.11328125	(.f64 (neg.f64 x) (.f64 x x))
accuracy	24.336364898457145	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) (.f64 x x)))
accuracy	45.49350256213768	(fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
accuracy	0.0	(cos.f64 x)
accuracy	0.08719503162065376	(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
accuracy	0.10546875	(/.f64 (neg.f64 (cos.f64 x)) x)
accuracy	29.722940073652538	(-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.17512847661783104	(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))
accuracy	28.940589863865448	#s(approx (neg (cos x)) #s(literal -1 binary64))
accuracy	30.63633066138007	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	13.612416254848892	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	16.353243574602807	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	28.940589863865448	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0078125	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.08984375	(/.f64 (/.f64 (sin.f64 x) x) x)
accuracy	0.09765625	(/.f64 (sin.f64 x) x)
accuracy	0.17253876953688405	(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))

Samples

103.0ms	59×	2	valid
65.0ms	130×	0	valid
46.0ms	42×	1	valid
39.0ms	25×	3	valid

Compiler

Compiled 191 to 35 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 57.0ms (27.9% of total)

ival-div: 53.0ms (26% of total)

ival-cos: 42.0ms (20.6% of total)

adjust: 26.0ms (12.7% of total)

ival-add: 7.0ms (3.4% of total)

ival-sin: 6.0ms (2.9% of total)

ival-tan: 5.0ms (2.5% of total)

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

ival-neg: 3.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Counts

23 → 66

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify119.0ms (1.7%)

Memory

-20.8MiB live, 164.6MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	694
1	424	693
2	1239	679
3	3845	661
0	8491	612

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

Calls

Call 1

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

rewrite150.0ms (2.1%)

Memory

7.1MiB live, 245.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	182
0	65	164
1	239	155
2	2016	144
0	9991	144

Stop Event

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

Counts

23 → 758

Calls

Call 1

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

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

eval89.0ms (1.2%)

Memory: 27.8MiB live, 166.7MiB allocated; 28ms collecting garbage
Compiler: Compiled 14 377 to 2 063 computations (85.7% saved)

prune31.0ms (0.4%)

Memory

-19.6MiB live, 71.0MiB allocated; 11ms collecting garbage

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	713	9	722
Fresh	3	6	9
Picked	2	3	5
Done	3	5	8
Total	721	23	744

Accuracy

100.0%

Counts

744 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.1%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x)) x))
✓	51.9%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	33.1%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) (*.f64 x x)))
✓	29.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
	19.3%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 x x)))
	44.5%	(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (pow.f64 x #s(literal 3 binary64)))
	73.2%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
	52.0%	(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
	25.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	51.9%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
✓	52.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	52.7%	(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
	33.1%	(/.f64 (-.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x x))
✓	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	28.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	44.4%	(/.f64 #s(approx (+ (* (/ (cos x) x) (* x x)) (* (neg x) 1)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (.f64 (neg.f64 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)))
	74.1%	(.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
	50.0%	#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)))
✓	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	73.6%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)))
	99.8%	#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))

Compiler

Compiled 1 009 to 398 computations (60.6% saved)

regimes45.0ms (0.6%)

Memory

-5.3MiB live, 61.7MiB allocated; 15ms collecting garbage

Counts

41 → 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))
(/.f64 (-.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x)) x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (+ (* (/ (cos x) x) (* x x)) (* (neg x) 1)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (.f64 (neg.f64 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) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 #s(approx (- (* 1 x) (* (* x x) (/ (cos x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))

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

Calls

2 calls:

33.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
10.0ms	x

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes20.0ms (0.3%)

Memory

-14.7MiB live, 31.1MiB allocated; 5ms collecting garbage

Counts

29 → 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))
(/.f64 (-.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x)) x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (+ (* (/ (cos x) x) (* x x)) (* (neg x) 1)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (.f64 (neg.f64 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) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 #s(approx (- (* 1 x) (* (* x x) (/ (cos x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) 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)))

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

Calls

2 calls:

12.0ms	x
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes14.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Counts

26 → 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))
(/.f64 (-.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x)) x))
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (+ (* (/ (cos x) x) (* x x)) (* (neg x) 1)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (.f64 (neg.f64 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) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 #s(approx (- (* 1 x) (* (* x x) (/ (cos x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (pow.f64 x #s(literal 3 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

2 calls:

7.0ms	x
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
79.1%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.5%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory

-36.7MiB live, 9.5MiB allocated; 4ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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))
(/.f64 (-.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #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 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

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

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
76.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.8b remaining (-2.6%)

Threshold costs -0.8b (-2.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
50.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.2%)

Memory

-30.4MiB live, 16.0MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	3.501159290812266e-6	0.0006641411996438535

Samples

9.0ms

64×

valid

Compiler

Compiled 175 to 130 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 5.0ms (64.5% of total)

ival-div: 1.0ms (12.9% of total)

adjust: 1.0ms (12.9% of total)

ival-sub: 1.0ms (12.9% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0006641411996438535	357.9428185406876

Samples

7.0ms

144×

valid

Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions

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

ival-sub: 1.0ms (24.7% of total)

ival-div: 1.0ms (24.7% of total)

ival-cos: 1.0ms (24.7% of total)

ival-mult: 1.0ms (24.7% 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)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006641411996438535	357.9428185406876

Compiler

Compiled 263 to 208 computations (20.9% saved)

bsearch20.0ms (0.3%)

Memory

-24.5MiB live, 27.9MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0006641411996438535	357.9428185406876

Samples

9.0ms

128×

valid

Compiler

Compiled 344 to 244 computations (29.1% saved)

Precisions

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

ival-cos: 4.0ms (65.3% of total)

ival-sub: 1.0ms (16.3% of total)

ival-div: 1.0ms (16.3% of total)

ival-mult: 1.0ms (16.3% 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

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006641411996438535	357.9428185406876

Compiler

Compiled 299 to 235 computations (21.4% saved)

bsearch12.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0006641411996438535	357.9428185406876

Samples

6.0ms

96×

valid

Compiler

Compiled 254 to 208 computations (18.1% saved)

Precisions

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

ival-cos: 3.0ms (66% of total)

ival-div: 1.0ms (22% of total)

ival-mult: 1.0ms (22% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.2%)

Memory

-34.0MiB live, 12.1MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0006641411996438535	357.9428185406876

Samples

3.0ms

48×

valid

Compiler

Compiled 236 to 190 computations (19.5% saved)

Precisions

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

ival-cos: 1.0ms (42.4% 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)

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

exact: 0.0ms (0% of total)

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

simplify66.0ms (0.9%)

Memory

41.8MiB live, 83.1MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	66	282
1	104	276
2	202	276
3	401	276
4	846	276
5	1929	274
6	3526	270
7	5891	270

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(approx ( (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))))
(if (<=.f64 x #s(literal 7782220156096217/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 7782220156096217/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) (*.f64 x x))))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x x)))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 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 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #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 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(approx ( (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))))
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(approx (/ (- 1 (cos x)) ( x x)) (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))))
(if (<=.f64 x #s(literal 7782220156096217/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 7782220156096217/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) (*.f64 x x))))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 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 (neg.f64 #s(approx (neg (cos x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 x x)))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 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(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (neg.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))

derivations944.0ms (13.2%)

Memory

-0.2MiB live, 660.7MiB allocated; 196ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	541
1	372	541
2	1081	518
3	4986	518
0	8154	480
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17
0	29	137
0	48	137
1	162	107
2	1069	107
0	8547	105
0	126	699
1	437	682
2	1262	682
3	3682	682
0	8372	625
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135
0	38	182
0	65	164
1	239	155
2	2016	144
0	9991	144

Stop Event

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

Compiler

Compiled 270 to 64 computations (76.3% saved)

preprocess47.0ms (0.7%)

Memory: -11.9MiB live, 78.5MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 636 to 196 computations (69.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.0s (28.1%)

explain135.0ms (1.9%)

preprocess146.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify113.0ms (1.6%)

localize49.0ms (0.7%)

series3.0ms (0%)

simplify166.0ms (2.3%)

rewrite98.0ms (1.4%)

eval14.0ms (0.2%)

prune11.0ms (0.2%)

simplify696.0ms (9.7%)

localize195.0ms (2.7%)

series26.0ms (0.4%)

simplify163.0ms (2.3%)

rewrite269.0ms (3.8%)

eval120.0ms (1.7%)

prune30.0ms (0.4%)

simplify140.0ms (2%)

localize216.0ms (3%)

series14.0ms (0.2%)

simplify158.0ms (2.2%)

rewrite189.0ms (2.6%)

eval118.0ms (1.7%)

prune45.0ms (0.6%)

simplify87.0ms (1.2%)

localize299.0ms (4.2%)

series12.0ms (0.2%)

simplify119.0ms (1.7%)

rewrite150.0ms (2.1%)

eval89.0ms (1.2%)

prune31.0ms (0.4%)

regimes45.0ms (0.6%)

regimes20.0ms (0.3%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch13.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch20.0ms (0.3%)

bsearch1.0ms (0%)

bsearch12.0ms (0.2%)

bsearch11.0ms (0.2%)

simplify66.0ms (0.9%)

derivations944.0ms (13.2%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling