Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

sample2.2s (28.1%)

Memory

37.0MiB live, 1 639.2MiB allocated

Samples

802.0ms	2 219×	2	valid
374.0ms	1 226×	1	valid
356.0ms	4 235×	0	valid
323.0ms	576×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 784.0ms (53.1% of total)

ival-div: 216.0ms (14.6% of total)

ival-sub: 183.0ms (12.4% of total)

adjust: 177.0ms (12% of total)

ival-mult: 102.0ms (6.9% of total)

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

exact: 5.0ms (0.3% of total)

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

Bogosity

explain219.0ms (2.9%)

Memory

-9.8MiB live, 222.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
74	0	-	1	(-1.854449111967401e-156)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
62	1	(1.0463922171260555e+175)	1	(-1.5195881850053563e+213)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	70	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	70
↳	`(*.f64 x x)`	underflow	70
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	62	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	67

Confusion

	Predicted +	Predicted -
+	132	0
-	3	121

Precision

0.9777777777777777

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	3	3	118

Precision?

0.9565217391304348

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	44×	3	valid
39.0ms	144×	2	valid
26.0ms	262×	0	valid
7.0ms	62×	1	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-cos: 69.0ms (76.5% of total)

ival-div: 6.0ms (6.6% of total)

adjust: 6.0ms (6.6% of total)

ival-sub: 5.0ms (5.5% of total)

ival-mult: 4.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess57.0ms (0.7%)

Memory

-5.4MiB live, 74.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	32	17
2	102	16
3	299	16
4	757	16
5	1185	16
6	1294	16
7	1310	16
0	6	8
0	10	8
1	19	8
2	30	8
3	46	8
4	82	8
5	131	8
6	188	8
7	323	8
8	621	8
9	1027	8
10	1138	8
0	1138	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify26.0ms (0.3%)

Memory

3.1MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	19	19
2	30	19
3	46	19
4	82	19
5	131	19
6	188	19
7	323	19
8	621	19
9	1027	19
10	1138	19
0	1138	19

Stop Event

1×	iter limit
1×	saturated
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)

localize52.0ms (0.7%)

Memory

15.9MiB live, 91.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(cos.f64 x)
accuracy	13.293807735974001	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	17.52386673958634	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

21.0ms	72×	2	valid
10.0ms	131×	0	valid
9.0ms	22×	3	valid
3.0ms	31×	1	valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 25.0ms (70.7% of total)

ival-div: 3.0ms (8.5% of total)

adjust: 3.0ms (8.5% of total)

ival-sub: 3.0ms (8.5% of total)

ival-mult: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

4 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

simplify234.0ms (3.1%)

Memory

-8.9MiB live, 142.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	153
1	105	153
2	258	153
3	609	153
4	1290	153
5	1996	153
6	2309	153
7	3163	153
8	4640	153
9	6288	153
10	7174	153
11	7388	153
12	7406	153
13	7408	153
14	7824	153
0	8033	135

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

Outputs
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x 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 (fma.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 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite185.0ms (2.4%)

Memory

22.4MiB live, 187.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17

Stop Event

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

Counts

4 → 629

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (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 (cos.f64 x) #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)))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #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)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 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))) (pow.f64 (-.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))) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (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))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
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(-.f64 (/.f64 (pow.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))) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.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 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.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))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.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 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x))))
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(-.f64 (/.f64 (pow.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))) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.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 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 x x)))
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(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 x (/.f64 (cos.f64 x) x)) (.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))
(exp.f64 (.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (log1p.f64 (cos.f64 x))) #s(literal -1 binary64)))

eval76.0ms (1%)

Memory: -7.1MiB live, 112.8MiB allocated
Compiler: Compiled 13 688 to 1 661 computations (87.9% saved)

prune19.0ms (0.2%)

Memory

6.2MiB live, 43.8MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	629	16	645
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	629	17	646

Accuracy

100.0%

Counts

646 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	52.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	71.5%	(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x))
	52.2%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	44.4%	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	27.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	13.1%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
	71.7%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
▶	50.7%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
▶	18.9%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
▶	52.3%	(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
	51.4%	(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	52.2%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
▶	72.4%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	51.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 394 to 266 computations (32.5% saved)

simplify172.0ms (2.2%)

Memory

-2.1MiB live, 78.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff	704	(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
cost-diff	6464	(pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff	1024	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff	1408	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
cost-diff	6336	(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	6400	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(sin.f64 x)
cost-diff	384	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	189
0	54	171
1	101	163
2	304	145
3	1442	143
4	2485	143
5	3588	143
6	4555	143
7	5433	143
8	6128	143
9	6856	143
10	7928	143
0	8021	143

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (2.3%)

Memory

-7.6MiB live, 184.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
accuracy	0.4101859942932875	(pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	13.293807735974001	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	16.515643826727224	(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	8.925032460713293	(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	8.953609205421436	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	30.516853259832285	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
accuracy	32.06472130910515	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy	0.0	(cos.f64 x)
accuracy	0.5168062480344606	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
accuracy	13.293807735974001	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	17.510119959841226	(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	31.33665766235471	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0.0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.00390625	(sin.f64 x)
accuracy	0.166347509768442	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	16.92973731405839	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

79.0ms	125×	1	valid
76.0ms	131×	0	valid

Compiler

Compiled 378 to 64 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-pow: 30.0ms (22.8% of total)

ival-cos: 22.0ms (16.7% of total)

ival-div: 19.0ms (14.4% of total)

adjust: 16.0ms (12.2% of total)

ival-sin: 16.0ms (12.2% of total)

ival-mult: 12.0ms (9.1% of total)

ival-sub: 5.0ms (3.8% of total)

ival-tan: 5.0ms (3.8% of total)

ival-neg: 5.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

17 → 58

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 2)
(* 1/2 x)
(* 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))))))))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(* -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))
(/ 1 (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))) (pow x 2))
(* -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 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(- (cos x) 1)
(/ (cos x) (pow x 2))
(* -1 (* x (cos x)))
(/ (- (cos x) 1) x)
(/ x (- (cos x) 1))
(/ (sin x) (pow x 2))
(cos x)

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (pow (/ x (- (cos x) 1)) -1) (* (pow (/ x (- (cos x) 1)) -1) (/ -1 x)) (/ x (- (cos x) 1)) (/ (sin x) (* x x)) (cos x))
4.0ms	x	@	-inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (pow (/ x (- (cos x) 1)) -1) (* (pow (/ x (- (cos x) 1)) -1) (/ -1 x)) (/ x (- (cos x) 1)) (/ (sin x) (* x x)) (cos x))
3.0ms	x	@	0	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (pow (/ x (- (cos x) 1)) -1) (* (pow (/ x (- (cos x) 1)) -1) (/ -1 x)) (/ x (- (cos x) 1)) (/ (sin x) (* x x)) (cos x))

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify181.0ms (2.4%)

Memory

-31.2MiB live, 142.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	606
1	340	606
2	849	594
3	2632	588
4	4909	588
5	7966	588
0	8010	525

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)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 2)
(* 1/2 x)
(* 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))))))))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(* -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))
(/ 1 (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))) (pow x 2))
(* -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 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(- (cos x) 1)
(/ (cos x) (pow x 2))
(* -1 (* x (cos x)))
(/ (- (cos x) 1) x)
(/ x (- (cos x) 1))
(/ (sin x) (pow x 2))
(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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 2)
(*.f64 x x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64))
(* -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 (fma.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 (.f64 (fma.f64 (fma.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.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) #s(literal 1 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (fma.f64 (fma.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.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) #s(literal 1 binary64))
(/ (* (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.f64 x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- (cos x) 1))
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 x) (cos.f64 x))
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ x (- (cos x) 1))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(cos x)
(cos.f64 x)

rewrite277.0ms (3.6%)

Memory

7.0MiB live, 248.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	146
0	54	128
1	210	108
2	1815	104
0	9044	104

Stop Event

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

Counts

17 → 1 265

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 (neg.f64 x) x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 x x))))
(.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (cos.f64 (.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (sin.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (.f64 x x) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))) (neg.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (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)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (.f64 x (cos.f64 (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
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(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
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(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) (/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (cos.f64 x) x)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)))
(-.f64 (/.f64 (.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (/.f64 (cos.f64 x) x) (.f64 x x))) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))))
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(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (/.f64 (cos.f64 x) x) (.f64 (neg.f64 x) x))) (.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 x (cos.f64 x)) x) (.f64 (.f64 x x) (.f64 (/.f64 x (cos.f64 x)) x))) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (/.f64 x (cos.f64 x)) x))))
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(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (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)) (.f64 (.f64 x x) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 x x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -6 binary64))) (.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (/.f64 x (cos.f64 x)))) (pow.f64 x #s(literal -6 binary64))))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (.f64 (/.f64 (cos.f64 x) x) (.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))) (neg.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -6 binary64))) (neg.f64 (.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (/.f64 x (cos.f64 x)))) (pow.f64 x #s(literal -6 binary64)))))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 x (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 x (sin.f64 x))))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 x) x))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))

eval119.0ms (1.5%)

Memory: 67.2MiB live, 216.1MiB allocated
Compiler: Compiled 19 933 to 2 692 computations (86.5% saved)

prune57.0ms (0.7%)

Memory

36.7MiB live, 107.3MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	947	12	959
Fresh	3	8	11
Picked	3	2	5
Done	0	1	1
Total	953	23	976

Accuracy

100.0%

Counts

976 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	52.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.3%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	52.2%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	44.4%	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	27.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	13.1%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
	71.7%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	72.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)))
▶	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	50.7%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	50.7%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
▶	78.3%	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
	44.8%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
	51.7%	(*.f64 (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	52.2%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	72.4%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	52.3%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
▶	52.2%	(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	52.2%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
	50.9%	(.f64 #s(approx (pow (/ x (- (cos x) 1)) -1) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
✓	51.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 528 to 366 computations (30.7% saved)

simplify140.0ms (1.8%)

Memory

-52.7MiB live, 91.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (cos.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	320	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
cost-diff	1664	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(/.f64 (cos.f64 x) x)
cost-diff	320	(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	704	(+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff	0	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
cost-diff	-384	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	187
0	49	167
1	93	165
2	184	165
3	463	159
4	1374	159
5	2943	157
6	5543	157
7	6971	157
0	8020	157

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
#s(literal -1 binary64)
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 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)

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))))
#s(literal -1 binary64)
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 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)

localize209.0ms (2.7%)

Memory

-22.9MiB live, 208.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (.f64 x x) (cos.f64 x))
accuracy	14.71234714137045	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
accuracy	17.52386673958634	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
accuracy	39.480819241498175	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
accuracy	0.0	(cos.f64 x)
accuracy	0.11328125	(/.f64 (cos.f64 x) x)
accuracy	0.1484375	(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
accuracy	29.99011808241622	(+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
accuracy	0.1328125	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
accuracy	0.5168062480344606	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
accuracy	13.293807735974001	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.515643826727224	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy	0.0	(*.f64 x x)
accuracy	13.293807735974001	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	17.52386673958634	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy	28.789920968275847	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
accuracy	0.5168062480344606	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
accuracy	13.404631914591922	#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))

Samples

65.0ms	72×	2	valid
37.0ms	131×	0	valid
23.0ms	21×	3	valid
21.0ms	32×	1	valid

Compiler

Compiled 357 to 57 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-cos: 46.0ms (44.1% of total)

ival-div: 22.0ms (21.1% of total)

ival-mult: 13.0ms (12.5% of total)

adjust: 9.0ms (8.6% of total)

ival-sub: 7.0ms (6.7% of total)

const: 4.0ms (3.8% of total)

ival-add: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

19 → 55

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (cos.f64 x) x)
(cos.f64 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 (.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))

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
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(/ 2 x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(* 1/2 (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))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(/ (pow x 2) (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ (- (cos x) 1) x)
(/ (cos x) x)
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* -1/6 (* x x)) -2) (* x x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (+ (/ (cos x) x) (/ -1 x)) (* (+ (/ (cos x) x) (/ -1 x)) (/ -1 x)) (/ (cos x) x) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))

4.0ms

inf

((/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* -1/6 (* x x)) -2) (* x x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (+ (/ (cos x) x) (/ -1 x)) (* (+ (/ (cos x) x) (/ -1 x)) (/ -1 x)) (/ (cos x) x) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))

1.0ms

((/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* -1/6 (* x x)) -2) (* x x) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (+ (/ (cos x) x) (/ -1 x)) (* (+ (/ (cos x) x) (/ -1 x)) (/ -1 x)) (/ (cos x) x) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)))

simplify174.0ms (2.3%)

Memory

9.8MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	567
1	310	564
2	791	558
3	2408	558
4	4860	556
5	6710	552
0	8293	491

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

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
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(/ 2 x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(* 1/2 (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))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(/ (pow x 2) (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ (- (cos x) 1) x)
(/ (cos x) x)
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x 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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.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) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (fma.f64 (fma.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.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) #s(literal 1 binary64)) x)
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #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))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 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 (fma.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 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- (cos x) 1))
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- 1 (cos x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* (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)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite224.0ms (2.9%)

Memory

-21.6MiB live, 272.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	163
0	49	145
1	217	138
2	1799	138
0	8600	138

Stop Event

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

Counts

19 → 1 012

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (cos.f64 x) x)
(cos.f64 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 (.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))

Outputs
(.f64 (pow.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)))))
(.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))))
(neg.f64 (pow.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (.f64 (/.f64 (.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) x) (pow.f64 x #s(literal -2 binary64))) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))))) (neg.f64 (.f64 (.f64 x x) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (.f64 (/.f64 (.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (.f64 (.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (cos.f64 x) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 (*.f64 (cos.f64 x) x) x) x) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (neg.f64 x) x))) (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.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 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (neg.f64 x) x))) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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 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 #s(literal 0 binary64) (.f64 (neg.f64 x) x)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (neg.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal -1 binary64)))

eval163.0ms (2.1%)

Memory: 9.1MiB live, 199.3MiB allocated
Compiler: Compiled 20 334 to 3 058 computations (85% saved)

prune36.0ms (0.5%)

Memory

-3.3MiB live, 82.6MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	955	9	964
Fresh	4	11	15
Picked	1	4	5
Done	0	3	3
Total	960	27	987

Accuracy

100.0%

Counts

987 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
▶	51.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
	19.9%	(/.f64 (fma.f64 (.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x) (neg.f64 x)) (.f64 x (.f64 (neg.f64 x) x)))
✓	25.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	52.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.3%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	52.2%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	27.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	71.7%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	13.0%	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
	72.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)))
✓	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x))
	51.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
	78.2%	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) x))
✓	50.7%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
▶	78.3%	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
▶	31.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
	44.8%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
	51.7%	(*.f64 (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	52.2%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	72.4%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶	52.3%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
✓	52.2%	(*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
▶	52.2%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
✓	51.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 652 to 438 computations (32.8% saved)

simplify125.0ms (1.6%)

Memory

-3.4MiB live, 71.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	1024	(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
cost-diff	1152	(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff	320	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
cost-diff	0	#s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	238
0	56	221
1	97	216
2	196	208
3	541	201
4	1831	201
5	3412	201
6	4428	201
7	5073	201
8	5330	201
9	5492	201
10	5657	201
11	7268	201
12	7973	201
0	8034	201

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
#s(literal -1 binary64)
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(literal -2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(literal -1 binary64)
#s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
#s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
x
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 x)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
#s(literal -1 binary64)
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(literal -2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
#s(literal -1 binary64)
#s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
#s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
#s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
x
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 x)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
(neg.f64 (cos.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)

localize236.0ms (3.1%)

Memory

17.2MiB live, 259.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(/.f64 (cos.f64 x) x)
accuracy	0.203125	(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
accuracy	17.52386673958634	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
accuracy	30.641588008099706	(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
accuracy	0.1484375	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
accuracy	0.4101859942932875	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
accuracy	13.293807735974001	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	16.515643826727224	(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy	0.0	(cos.f64 x)
accuracy	0.1484375	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
accuracy	13.293807735974001	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.57564015764651	(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy	0.1484375	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	0.5168062480344606	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
accuracy	13.404631914591922	#s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
accuracy	30.274215433318187	#s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
accuracy	0.046875	(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))
accuracy	0.27734375	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.5168062480344606	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
accuracy	13.404631914591922	#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))

Samples

89.0ms	72×	2	valid
62.0ms	131×	0	valid
33.0ms	22×	3	valid
12.0ms	31×	1	valid

Compiler

Compiled 433 to 67 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-cos: 43.0ms (34.4% of total)

ival-div: 27.0ms (21.6% of total)

adjust: 21.0ms (16.8% of total)

ival-mult: 20.0ms (16% of total)

ival-sub: 5.0ms (4% of total)

const: 4.0ms (3.2% of total)

ival-add: 4.0ms (3.2% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-19.3MiB live, 17.9MiB allocated

Counts

22 → 54

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
#s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
(neg.f64 x)
(cos.f64 x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (cos.f64 x) x)

Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(* -1/6 x)
(* -1/6 (pow x 2))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 x)
(* 1/2 (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))))
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 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))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ 1 x)
(/ (+ 1 (* -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 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- 1 (cos x)) x))
(- 1 (cos x))
(/ (- (cos x) 1) x)
(/ x (- (cos x) 1))
(- (cos x) 1)
(+ 1 (* -1 (cos x)))
(* -1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (cos x) x)

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

-inf

((/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* (* -1/6 x) x) -2) (* -1/6 x) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* -1/6 (* x x)) -2) (* -1/6 (* x x)) (* (* (/ -1 x) (- 1 (cos x))) (/ -1 x)) (* (/ -1 x) (- 1 (cos x))) (/ -1 x) (- 1 (cos x)) (/ 1 (/ x (- (cos x) 1))) (* (/ 1 (/ x (- (cos x) 1))) (/ -1 x)) (/ x (- (cos x) 1)) (- (cos x) 1) (+ (* (/ -1 x) (neg x)) (* (neg x) (/ (cos x) x))) (* (neg x) (/ (cos x) x)) (neg x) (cos x) (/ (+ (* (/ -1 x) (neg x)) (* (neg x) (/ (cos x) x))) (* x x)) (/ (cos x) x))

3.0ms

inf

((/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* (* -1/6 x) x) -2) (* -1/6 x) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* -1/6 (* x x)) -2) (* -1/6 (* x x)) (* (* (/ -1 x) (- 1 (cos x))) (/ -1 x)) (* (/ -1 x) (- 1 (cos x))) (/ -1 x) (- 1 (cos x)) (/ 1 (/ x (- (cos x) 1))) (* (/ 1 (/ x (- (cos x) 1))) (/ -1 x)) (/ x (- (cos x) 1)) (- (cos x) 1) (+ (* (/ -1 x) (neg x)) (* (neg x) (/ (cos x) x))) (* (neg x) (/ (cos x) x)) (neg x) (cos x) (/ (+ (* (/ -1 x) (neg x)) (* (neg x) (/ (cos x) x))) (* x x)) (/ (cos x) x))

2.0ms

((/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* (* -1/6 x) x) -2) (* -1/6 x) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (+ (* -1/6 (* x x)) -2) (* -1/6 (* x x)) (* (* (/ -1 x) (- 1 (cos x))) (/ -1 x)) (* (/ -1 x) (- 1 (cos x))) (/ -1 x) (- 1 (cos x)) (/ 1 (/ x (- (cos x) 1))) (* (/ 1 (/ x (- (cos x) 1))) (/ -1 x)) (/ x (- (cos x) 1)) (- (cos x) 1) (+ (* (/ -1 x) (neg x)) (* (neg x) (/ (cos x) x))) (* (neg x) (/ (cos x) x)) (neg x) (cos x) (/ (+ (* (/ -1 x) (neg x)) (* (neg x) (/ (cos x) x))) (* x x)) (/ (cos x) x))

simplify131.0ms (1.7%)

Memory

16.9MiB live, 176.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	512
1	241	509
2	607	507
3	1517	505
4	3483	501
5	6343	501
0	8154	446

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

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
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(* -1/6 x)
(* -1/6 (pow x 2))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 x)
(* 1/2 (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))))
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 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))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ 1 x)
(/ (+ 1 (* -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 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- 1 (cos x)) x))
(- 1 (cos x))
(/ (- (cos x) 1) x)
(/ x (- (cos x) 1))
(- (cos x) 1)
(+ 1 (* -1 (cos x)))
(* -1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (cos x) 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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (fma.f64 (fma.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* 1/2 (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 (fma.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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 (fma.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 (.f64 (fma.f64 (fma.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- (cos x) 1))
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ x (- (cos x) 1))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1 (cos x))
(neg.f64 (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)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)

rewrite219.0ms (2.9%)

Memory

11.2MiB live, 203.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	207
0	56	190
1	206	177
2	1400	170
0	9698	170

Stop Event

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

Counts

22 → 1 465

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
#s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))
(neg.f64 x)
(cos.f64 x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (cos.f64 x) x)

Outputs
(.f64 (pow.f64 (neg.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))))
(.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
(neg.f64 (pow.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ ( x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))))
#s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))
(/.f64 (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))))
(neg.f64 (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
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(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)))
(fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.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 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)) x)
(*.f64 (pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal -1 binary64))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (cos.f64 x) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) x))
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64)))

eval205.0ms (2.7%)

Memory: -28.3MiB live, 254.0MiB allocated
Compiler: Compiled 20 994 to 3 381 computations (83.9% saved)

prune83.0ms (1.1%)

Memory

-15.9MiB live, 106.9MiB allocated

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	1 046	8	1 054
Fresh	1	14	15
Picked	2	3	5
Done	2	5	7
Total	1 051	30	1 081

Accuracy

100.0%

Counts

1 081 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
	51.3%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (neg.f64 (cos.f64 x))) (*.f64 x x))
	19.9%	(/.f64 (fma.f64 (.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x) (neg.f64 x)) (.f64 x (.f64 (neg.f64 x) x)))
	52.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.3%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	27.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	71.7%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	13.0%	(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x)))) (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
	72.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)))
✓	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x))
	51.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
	78.2%	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) x))
✓	50.7%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
✓	78.3%	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
	31.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 #s(literal -1/6 binary64) x) x))))
✓	31.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
	44.8%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
	51.7%	(*.f64 (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	51.6%	(.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)) x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	50.6%	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
	52.2%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	72.4%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	78.2%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x))
	51.8%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
	51.9%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
	25.3%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) (neg.f64 x))) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
✓	52.2%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
✓	51.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 096 to 472 computations (56.9% saved)

regimes26.0ms (0.3%)

Memory

17.1MiB live, 53.3MiB allocated

Counts

46 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
12.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.0%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory

-24.0MiB live, 12.5MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#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))
(.f64 #s(approx (pow (/ x (- (cos x) 1)) -1) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 #s(literal -1/6 binary64) x) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#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))
(.f64 #s(approx (pow (/ x (- (cos x) 1)) -1) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 #s(literal -1/6 binary64) x) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
98.9%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory

-19.6MiB live, 15.6MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#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))
(.f64 #s(approx (pow (/ x (- (cos x) 1)) -1) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 #s(literal -1/6 binary64) x) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x))

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))

Calls

2 calls:

6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
3.0ms	x

Results

Accuracy	Segments	Branch
78.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
78.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#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))
(.f64 #s(approx (pow (/ x (- (cos x) 1)) -1) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 (.f64 #s(literal -1/6 binary64) x) x))))

Outputs

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

(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (*.f64 #s(literal -1/6 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
57.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
78.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#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))

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #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
51.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
51.0%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch22.0ms (0.3%)

Memory

-5.2MiB live, 41.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.527385473080906e-9	4829.7427596478665

Samples

8.0ms

160×

valid

Compiler

Compiled 211 to 190 computations (10% saved)

Precisions

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

ival-cos: 2.0ms (44.4% of total)

ival-sub: 1.0ms (22.2% of total)

ival-div: 1.0ms (22.2% of total)

ival-mult: 1.0ms (22.2% 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

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.527385473080906e-9	4829.7427596478665

Compiler

Compiled 191 to 170 computations (11% saved)

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.527385473080906e-9	4829.7427596478665

Compiler

Compiled 191 to 170 computations (11% saved)

bsearch22.0ms (0.3%)

Memory

-16.8MiB live, 56.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.527385473080906e-9	4829.7427596478665

Samples

15.0ms

144×

valid

Compiler

Compiled 351 to 280 computations (20.2% saved)

Precisions

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

ival-div: 4.0ms (33% of total)

ival-cos: 4.0ms (33% of total)

ival-mult: 3.0ms (24.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

-4.3MiB live, 33.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.188697909137669e+74	3.805161434303922e+78

Samples

12.0ms

128×

valid

Compiler

Compiled 171 to 146 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 7.0ms (72.5% of total)

ival-sub: 1.0ms (10.4% of total)

ival-div: 1.0ms (10.4% of total)

ival-mult: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify29.0ms (0.4%)

Memory

-13.0MiB live, 72.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	157
1	56	157
2	65	157
3	74	157
4	76	157

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 760928193040519/4611686018427387904 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 760928193040519/4611686018427387904 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 760928193040519/4611686018427387904 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(if (<=.f64 x #s(literal 760928193040519/4611686018427387904 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 760928193040519/4611686018427387904 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 760928193040519/4611686018427387904 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) #s(approx (+ (* -1/6 (* x x)) -2) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness1.4s (18.9%)

Memory

-2.7MiB live, 522.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	567
1	310	564
2	791	558
3	2408	558
4	4860	556
5	6710	552
0	8293	491
0	32	146
0	54	128
1	210	108
2	1815	104
0	9044	104
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17
0	42	153
1	105	153
2	258	153
3	609	153
4	1290	153
5	1996	153
6	2309	153
7	3163	153
8	4640	153
9	6288	153
10	7174	153
11	7388	153
12	7406	153
13	7408	153
14	7824	153
0	8033	135
0	140	606
1	340	606
2	849	594
3	2632	588
4	4909	588
5	7966	588
0	8010	525

Stop Event

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

Compiler

Compiled 206 to 92 computations (55.3% saved)

preprocess66.0ms (0.9%)

Memory: 20.2MiB live, 56.5MiB allocated
Compiler: Compiled 378 to 146 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.2s (28.1%)

explain219.0ms (2.9%)

preprocess57.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.3%)

localize52.0ms (0.7%)

series3.0ms (0%)

simplify234.0ms (3.1%)

rewrite185.0ms (2.4%)

eval76.0ms (1%)

prune19.0ms (0.2%)

simplify172.0ms (2.2%)

localize180.0ms (2.3%)

series13.0ms (0.2%)

simplify181.0ms (2.4%)

rewrite277.0ms (3.6%)

eval119.0ms (1.5%)

prune57.0ms (0.7%)

simplify140.0ms (1.8%)

localize209.0ms (2.7%)

series13.0ms (0.2%)

simplify174.0ms (2.3%)

rewrite224.0ms (2.9%)

eval163.0ms (2.1%)

prune36.0ms (0.5%)

simplify125.0ms (1.6%)

localize236.0ms (3.1%)

series19.0ms (0.2%)

simplify131.0ms (1.7%)

rewrite219.0ms (2.9%)

eval205.0ms (2.7%)

prune83.0ms (1.1%)

regimes26.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch22.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch22.0ms (0.3%)

bsearch18.0ms (0.2%)

simplify29.0ms (0.4%)

soundness1.4s (18.9%)

preprocess66.0ms (0.9%)

end0.0ms (0%)

Profiling