Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (28.4%)

Memory

35.7MiB live, 1 975.1MiB allocated

Samples

683.0ms	2 245×	2	valid
436.0ms	4 226×	0	valid
251.0ms	609×	3	valid
134.0ms	1 176×	1	valid

Precisions

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

ival-cos: 813.0ms (65.5% of total)

ival-mult: 114.0ms (9.2% of total)

ival-div: 111.0ms (8.9% of total)

adjust: 100.0ms (8.1% of total)

ival-sub: 88.0ms (7.1% of total)

ival-true: 7.0ms (0.6% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain147.0ms (2.3%)

Memory

2.0MiB live, 245.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
66	2	(1.2854858317728038e+278)	1	(1.8994055081568047e+263)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
65	0	-	1	(1.116953160203328e-161)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	67	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	60	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	60
↳	`(*.f64 x x)`	underflow	60
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	4	0
↳	`(*.f64 x x)`	overflow	60

Confusion

	Predicted +	Predicted -
+	130	0
-	1	125

Precision

0.9923664122137404

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	1	3	122

Precision?

0.9701492537313433

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms	126×	2	valid
31.0ms	268×	0	valid
13.0ms	38×	3	valid
9.0ms	80×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-cos: 44.0ms (59.1% of total)

ival-mult: 13.0ms (17.5% of total)

ival-div: 6.0ms (8.1% of total)

adjust: 6.0ms (8.1% of total)

ival-sub: 5.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess138.0ms (2.2%)

Memory

17.4MiB live, 160.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify109.0ms (1.7%)

Memory

16.0MiB live, 114.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

-2.4MiB live, 43.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	14.85087488484702	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.23771784435172	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

18.0ms	63×	2	valid
16.0ms	19×	3	valid
11.0ms	134×	0	valid
4.0ms	40×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-cos: 20.0ms (50.3% of total)

adjust: 12.0ms (30.2% of total)

ival-div: 3.0ms (7.5% of total)

ival-sub: 3.0ms (7.5% of total)

ival-mult: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

simplify215.0ms (3.4%)

Memory

-45.7MiB live, 133.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite101.0ms (1.6%)

Memory

12.3MiB live, 99.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 132

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: -10.5MiB live, 34.6MiB allocated
Compiler: Compiled 2 901 to 540 computations (81.4% saved)

prune22.0ms (0.3%)

Memory

-27.0MiB live, 31.9MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

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

Accuracy

100.0%

Counts

149 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
▶	29.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	53.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	51.6%	(/.f64 (-.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 x x))
	20.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
▶	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
	20.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
	16.3%	(/.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)))
	20.7%	(/.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))
✓	51.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	49.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	25.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	75.0%	(/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))
▶	75.4%	(/.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)))
	52.8%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	51.5%	(-.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)))
	49.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	50.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 546 to 342 computations (37.4% saved)

simplify79.0ms (1.2%)

Memory

20.0MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	1	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	1	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
cost-diff	0	(.f64 (.f64 x x) (cos.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	2	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
cost-diff	4	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
cost-diff	2	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
cost-diff	8	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff	1	(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
cost-diff	3	(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	197
0	48	203
1	99	175
2	354	161
3	2308	161
4	7657	161
0	8008	158

Stop Event

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

Calls

Call 1

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

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

localize256.0ms (4%)

Memory

23.1MiB live, 358.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.26171875	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.38138409227031156	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.051944963929456	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
accuracy	0.00390625	(pow.f64 x #s(literal 4 binary64))
accuracy	0.08203125	(.f64 (.f64 x x) (cos.f64 x))
accuracy	12.946167859210238	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	44.59618577216661	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.08203125	(.f64 (.f64 x x) (cos.f64 x))
accuracy	12.946167859210238	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	15.23771784435172	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
accuracy	36.21031511412013	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
accuracy	31.777324834928333	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.26171875	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.2934966184841047	(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
accuracy	0.38138409227031156	(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	15.051944963929456	(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))

Samples

82.0ms	65×	2	valid
38.0ms	134×	0	valid
31.0ms	17×	3	valid
16.0ms	40×	1	valid

Compiler

Compiled 197 to 28 computations (85.8% saved)

Precisions

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

adjust: 40.0ms (28.6% of total)

ival-cos: 21.0ms (15% of total)

ival-div: 20.0ms (14.3% of total)

ival-mult: 14.0ms (10% of total)

ival-add: 13.0ms (9.3% of total)

ival-sin: 11.0ms (7.9% of total)

ival-sub: 10.0ms (7.1% of total)

ival-pow2: 4.0ms (2.9% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series11.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

16 → 51

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 4)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(* -1 (* (pow x 2) (+ 1 (cos x))))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(* x (+ 1 (cos x)))
(sin x)
(+ 1 (cos x))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (* (* x x) (cos x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (pow x 4))
3.0ms	x	@	inf	((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (* (* x x) (cos x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (pow x 4))
2.0ms	x	@	0	((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (* (* x x) (cos x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (pow x 4))

Time

Variable

Point

Expression

5.0ms

-inf

((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (* (* x x) (cos x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (pow x 4))

3.0ms

inf

((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (* (* x x) (cos x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (pow x 4))

2.0ms

((/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (/ (- 1 (cos x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* x x) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (* (* x x) (cos x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (sin x) (+ (cos x) 1) (pow x 4))

simplify130.0ms (2%)

Memory

9.6MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	574
1	407	574
2	1236	554
3	3145	553
4	7523	553
0	8009	516

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 4)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(* -1 (* (pow x 2) (+ 1 (cos x))))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(* x (+ 1 (cos x)))
(sin x)
(+ 1 (cos x))

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

rewrite224.0ms (3.5%)

Memory

10.7MiB live, 207.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	136
0	48	136
1	158	96
2	1033	96
0	8535	96

Stop Event

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

Counts

16 → 1 291

Calls

Call 1

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

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

eval161.0ms (2.5%)

Memory: -15.6MiB live, 171.0MiB allocated
Compiler: Compiled 25 415 to 2 897 computations (88.6% saved)

prune35.0ms (0.5%)

Memory

-23.7MiB live, 78.6MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	984	11	995
Fresh	7	5	12
Picked	3	2	5
Done	0	1	1
Total	994	19	1 013

Accuracy

100.0%

Counts

1 013 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 x x)) (.f64 x x)))
	51.7%	(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
	29.0%	(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
✓	29.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	53.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	29.0%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	20.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) (*.f64 x x)))
▶	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
▶	20.7%	(/.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))
✓	51.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	25.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.1%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	29.2%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
	16.2%	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64)))
▶	16.3%	(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (pow.f64 x #s(literal 4 binary64)))
	52.0%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
▶	49.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	50.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
▶	76.0%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))

Compiler

Compiled 598 to 343 computations (42.6% saved)

simplify88.0ms (1.4%)

Memory

36.2MiB live, 123.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
cost-diff	0	(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	2	(.f64 (.f64 (neg.f64 x) x) x)
cost-diff	2	(-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
cost-diff	3	(/.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))
cost-diff	4	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff	0	(*.f64 x x)
cost-diff	2	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	4	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
cost-diff	0	(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))
cost-diff	0	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	267
0	76	269
1	157	246
2	572	221
3	2950	217
4	7256	217
0	8156	217

Stop Event

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

Calls

Call 1

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

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

localize245.0ms (3.8%)

Memory

-4.7MiB live, 343.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy	0.1875	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy	14.85087488484702	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	44.59618577216661	(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.125	(.f64 (.f64 (neg.f64 x) x) x)
accuracy	10.512581451520287	(-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
accuracy	25.338177005382175	(/.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))
accuracy	28.231666242515065	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy	0.08203125	(.f64 (.f64 x x) (cos.f64 x))
accuracy	0.11003876953688403	(.f64 (.f64 x x) (*.f64 x x))
accuracy	12.946167859210238	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	44.59618577216661	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.30288314167402886	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy	32.48268683141132	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.0	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
accuracy	0.171875	(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))
accuracy	14.72460944275587	(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))

Samples

102.0ms	64×	2	valid
48.0ms	134×	0	valid
24.0ms	19×	3	valid
21.0ms	39×	1	valid

Compiler

Compiled 233 to 40 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 41.0ms (28.4% of total)

ival-div: 25.0ms (17.3% of total)

ival-cos: 25.0ms (17.3% of total)

adjust: 13.0ms (9% of total)

ival-sin: 8.0ms (5.5% of total)

ival-pow2: 7.0ms (4.9% of total)

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

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

const: 4.0ms (2.8% of total)

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

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

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

exact: 1.0ms (0.7% of total)

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

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

series22.0ms (0.3%)

Memory

-14.6MiB live, 30.6MiB allocated

Counts

21 → 58

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(pow x 2)
(pow x 4)
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 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))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- 1 (cos x)))
(* -1 (* x (cos x)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* x (- 1 (cos x)))
(sin x)
(* (pow x 2) (cos x))
(- 1 (cos x))
(* -1 (* x (- 1 (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

inf

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

5.0ms

-inf

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

3.0ms

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

simplify128.0ms (2%)

Memory

9.6MiB live, 107.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	644
1	461	636
2	1399	626
3	3903	626
0	8085	586

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(pow x 2)
(pow x 4)
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 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))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- 1 (cos x)))
(* -1 (* x (cos x)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* x (- 1 (cos x)))
(sin x)
(* (pow x 2) (cos x))
(- 1 (cos x))
(* -1 (* x (- 1 (cos x))))

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

rewrite259.0ms (4%)

Memory

-30.3MiB live, 161.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	225
0	76	210
1	259	182
2	1668	180
0	8774	179

Stop Event

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

Counts

21 → 1 224

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (*.f64 x x))
(/.f64 (.f64 (+.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))) (.f64 x x)))
(/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 x)) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) x)
(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) (neg.f64 x))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x)
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x) x))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)) x)
(/.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) (neg.f64 (neg.f64 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 x x))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (neg.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (neg.f64 x))
(/.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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) x)
(/.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x x))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
(/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
(neg.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
(/.f64 (neg.f64 (+.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (+.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.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)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 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))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/24 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -1/48 binary64))))) (/.f64 (.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -1/48 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64))))) (/.f64 (.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
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(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 x))) (fabs.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sin.f64 x)))
(fabs.f64 (sin.f64 x))
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x))))
(exp.f64 (log.f64 (sin.f64 x)))
(.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (cos.f64 x) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x)))
(.f64 (neg.f64 x) (.f64 (cos.f64 x) x))
(.f64 (cos.f64 x) (.f64 x x))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 x (.f64 (neg.f64 x) (cos.f64 x)))
(.f64 x (.f64 (cos.f64 x) x))
(neg.f64 (.f64 (.f64 (cos.f64 x) x) x))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.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) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.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 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (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 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.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 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sinh.f64 (.f64 (log.f64 (sin.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 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))

eval176.0ms (2.7%)

Memory: 22.7MiB live, 166.3MiB allocated
Compiler: Compiled 25 634 to 2 983 computations (88.4% saved)

prune52.0ms (0.8%)

Memory

14.7MiB live, 60.0MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 077	12	1 089
Fresh	5	6	11
Picked	2	3	5
Done	0	3	3
Total	1 084	24	1 108

Accuracy

100.0%

Counts

1 108 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 x x)) (.f64 x x)))
	52.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
▶	20.8%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
	16.5%	(/.f64 (fma.f64 x x (.f64 (neg.f64 (cos.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
	29.7%	(/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 x x)) (neg.f64 x))
✓	29.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	53.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	29.0%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
✓	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	2.3%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) #s(approx ( (* (neg x) x) (/ (cos x) x)) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
	42.7%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) #s(approx ( (* (neg x) x) (/ (cos x) x)) (.f64 (neg.f64 x) (cos.f64 x)))) (.f64 (*.f64 (neg.f64 x) x) x))
✓	51.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	25.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	29.2%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
▶	16.2%	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (*.f64 x x)))
	29.7%	(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) x)) (.f64 x x))
	16.2%	(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 x x) (*.f64 x x)))
▶	42.8%	(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (*.f64 (neg.f64 x) x) x))
	52.0%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
✓	49.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	50.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
▶	99.8%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
✓	76.0%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
	50.9%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan ( 1/2 x)) (* x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))

Compiler

Compiled 816 to 483 computations (40.8% saved)

simplify115.0ms (1.8%)

Memory

-16.4MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	258
0	73	251
1	156	235
2	539	213
3	2739	209
4	7752	209
0	8009	209

Stop Event

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

Calls

Call 1

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

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

localize365.0ms (5.7%)

Memory

1.2MiB live, 256.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(/.f64 (cos.f64 x) x)
accuracy	0.125	(.f64 (.f64 (neg.f64 x) x) x)
accuracy	25.338177005382175	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
accuracy	43.5104615794162	(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))
accuracy	0.11003876953688403	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.13671875	(*.f64 (cos.f64 x) x)
accuracy	10.512581451520287	(-.f64 x (*.f64 (cos.f64 x) x))
accuracy	44.59618577216661	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (*.f64 x x)))
accuracy	0.125	(.f64 (.f64 (neg.f64 x) x) x)
accuracy	0.1875	(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
accuracy	14.85087488484702	(+.f64 #s(literal -1 binary64) (cos.f64 x))
accuracy	25.338177005382175	(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (*.f64 (neg.f64 x) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	14.85087488484702	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	15.23771784435172	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	29.669018044336728	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
accuracy	0.0859375	(/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x)
accuracy	0.1015625	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
accuracy	0.1484375	(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x))

Samples

152.0ms	39×	1	valid
86.0ms	64×	2	valid
53.0ms	134×	0	valid
42.0ms	19×	3	valid

Compiler

Compiled 230 to 39 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 100.0ms (38.6% of total)

ival-div: 72.0ms (27.8% of total)

ival-pow2: 25.0ms (9.6% of total)

ival-cos: 20.0ms (7.7% of total)

adjust: 13.0ms (5% of total)

ival-sin: 8.0ms (3.1% of total)

ival-sub: 7.0ms (2.7% of total)

ival-add: 7.0ms (2.7% of total)

ival-tan: 5.0ms (1.9% of total)

ival-neg: 3.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (1%)

Memory

-20.9MiB live, 22.6MiB allocated

Counts

21 → 65

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

56.0ms

-inf

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

5.0ms

inf

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

5.0ms

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

simplify125.0ms (2%)

Memory

44.8MiB live, 133.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	702
1	407	691
2	1196	686
3	3150	680
4	7546	680
0	8090	638

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite148.0ms (2.3%)

Memory

-10.1MiB live, 183.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	211
0	73	205
1	259	185
2	1729	181
0	8706	177

Stop Event

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

Counts

21 → 685

Calls

Call 1

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

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

eval100.0ms (1.6%)

Memory: 8.5MiB live, 197.2MiB allocated
Compiler: Compiled 21 926 to 2 498 computations (88.6% saved)

prune70.0ms (1.1%)

Memory

-49.9MiB live, 77.5MiB allocated

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	894	9	903
Fresh	6	7	13
Picked	1	4	5
Done	0	6	6
Total	901	26	927

Accuracy

100.0%

Counts

927 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 x x)) (.f64 x x)))
	52.0%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
✓	20.8%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
	3.2%	(/.f64 (fma.f64 #s(approx (/ (cos x) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) x))) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
	3.4%	(/.f64 (fma.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)) (.f64 x x) (neg.f64 x)) (.f64 (*.f64 (neg.f64 x) x) x))
	16.5%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 (cos.f64 x)) x) x)) (.f64 (.f64 x x) (*.f64 x x)))
✓	29.1%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	53.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.2%	(/.f64 (/.f64 (.f64 x (fma.f64 (/.f64 (cos.f64 x) x) x #s(literal -1 binary64))) (.f64 x x)) (neg.f64 x))
	51.9%	(/.f64 (/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (.f64 x x)) (neg.f64 x))
	51.9%	(/.f64 (/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (neg.f64 x)) (.f64 x x))
✓	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	2.3%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) #s(approx ( (* (neg x) x) (/ (cos x) x)) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x))) (.f64 (*.f64 (neg.f64 x) x) x))
✓	51.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	25.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	29.2%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
	51.9%	(/.f64 (.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
	16.2%	(/.f64 (.f64 x (fma.f64 (neg.f64 (cos.f64 x)) x x)) (.f64 (.f64 x x) (.f64 x x)))
	42.7%	(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (+.f64 (.f64 (cos.f64 x) x) (neg.f64 x))) (.f64 (*.f64 (neg.f64 x) x) x))
✓	42.8%	(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (.f64 (*.f64 (neg.f64 x) x) x))
	52.0%	(-.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
✓	49.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	50.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
✓	99.8%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
✓	76.0%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
	50.9%	#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (.f64 #s(approx (/ (tan ( 1/2 x)) (* x x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))

Compiler

Compiled 1 459 to 528 computations (63.8% saved)

regimes63.0ms (1%)

Memory

34.2MiB live, 71.9MiB allocated

Counts

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

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

Calls

2 calls:

48.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
12.0ms	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)

regimes31.0ms (0.5%)

Memory

13.0MiB live, 55.8MiB allocated

Counts

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

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

Calls

2 calls:

21.0ms	x
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.7%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes27.0ms (0.4%)

Memory

-50.4MiB live, 5.8MiB allocated

Counts

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

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

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

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

Results

Accuracy	Segments	Branch
50.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
72.8%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total -0.9b remaining (-2.9%)

Threshold costs -0.9b (-2.9%)

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
50.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
50.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch18.0ms (0.3%)

Memory

-17.3MiB live, 28.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0002421471476777846	165.84964986517588

Samples

7.0ms

144×

valid

Compiler

Compiled 218 to 181 computations (17% saved)

Precisions

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

ival-sub: 1.0ms (24.2% of total)

ival-div: 1.0ms (24.2% of total)

ival-cos: 1.0ms (24.2% of total)

ival-mult: 1.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0002421471476777846	165.84964986517588

Compiler

Compiled 218 to 181 computations (17% saved)

bsearch18.0ms (0.3%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8432630029481082e+76	1.2150489550597665e+82

Samples

11.0ms

144×

valid

Compiler

Compiled 191 to 163 computations (14.7% saved)

Precisions

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

ival-cos: 5.0ms (63.9% of total)

ival-sub: 1.0ms (12.8% of total)

ival-div: 1.0ms (12.8% of total)

ival-mult: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify57.0ms (0.9%)

Memory

-9.4MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	115
1	74	115
2	170	111
3	585	111
4	2264	111
5	3790	111
6	5049	111

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 146000000000000004942453983291410229366415669745457686131825566670163040796672 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 x)) x))
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 146000000000000004942453983291410229366415669745457686131825566670163040796672 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness644.0ms (10%)

Memory

1.7MiB live, 481.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	574
1	407	574
2	1236	554
3	3145	553
4	7523	553
0	8009	516
0	6	17
0	10	17
1	45	17
2	321	17
0	3333	17
0	49	225
0	76	210
1	259	182
2	1668	180
0	8774	179
0	42	153
1	123	153
2	327	153
3	1154	153
4	2765	153
5	5117	153
0	8046	135

Stop Event

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

Compiler

Compiled 198 to 105 computations (47% saved)

preprocess58.0ms (0.9%)

Memory: -1.8MiB live, 45.0MiB allocated
Remove: (abs x)
Compiler: Compiled 300 to 140 computations (53.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.8s (28.4%)

explain147.0ms (2.3%)

preprocess138.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify109.0ms (1.7%)

localize55.0ms (0.9%)

series3.0ms (0%)

simplify215.0ms (3.4%)

rewrite101.0ms (1.6%)

eval16.0ms (0.3%)

prune22.0ms (0.3%)

simplify79.0ms (1.2%)

localize256.0ms (4%)

series11.0ms (0.2%)

simplify130.0ms (2%)

rewrite224.0ms (3.5%)

eval161.0ms (2.5%)

prune35.0ms (0.5%)

simplify88.0ms (1.4%)

localize245.0ms (3.8%)

series22.0ms (0.3%)

simplify128.0ms (2%)

rewrite259.0ms (4%)

eval176.0ms (2.7%)

prune52.0ms (0.8%)

simplify115.0ms (1.8%)

localize365.0ms (5.7%)

series67.0ms (1%)

simplify125.0ms (2%)

rewrite148.0ms (2.3%)

eval100.0ms (1.6%)

prune70.0ms (1.1%)

regimes63.0ms (1%)

regimes31.0ms (0.5%)

regimes27.0ms (0.4%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch18.0ms (0.3%)

bsearch1.0ms (0%)

bsearch18.0ms (0.3%)

simplify57.0ms (0.9%)

soundness644.0ms (10%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling