Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
0%	0%	49.6%	50.4%	0%	0%	0%	1
0%	0%	49.6%	50.4%	0%	0%	0%	2
50%	24.8%	24.8%	50.4%	0%	0%	0%	3
75%	37.2%	12.4%	50.4%	0%	0%	0%	4
87.5%	43.4%	6.2%	50.4%	0%	0%	0%	5
93.8%	46.5%	3.1%	50.4%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.4%	0%	0%	0%	7
98.4%	48.8%	0.8%	50.4%	0%	0%	0%	8
99.2%	49.2%	0.4%	50.4%	0%	0%	0%	9
99.6%	49.4%	0.2%	50.4%	0%	0%	0%	10
99.8%	49.5%	0.1%	50.4%	0%	0%	0%	11
99.9%	49.6%	0%	50.4%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample3.0s (36.9%)

Memory

-4.0MiB live, 2 827.7MiB allocated

Samples

2.1s	5 768×	2	valid
595.0ms	2 389×	1	valid
10.0ms	99×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-cos: 1.4s (65.6% of total)

const: 266.0ms (12.5% of total)

ival-sub: 221.0ms (10.3% of total)

adjust: 181.0ms (8.5% of total)

ival-<=: 48.0ms (2.2% of total)

ival-and: 12.0ms (0.6% of total)

exact: 5.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain135.0ms (1.7%)

Memory

9.5MiB live, 172.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
132	2	(5.149552538743388e-162)	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(cos.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	134	0

Confusion

	Predicted +	Predicted -
+	132	0
-	2	122

Precision

0.9850746268656716

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	2	0	122

Precision?

0.9850746268656716

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	342×	2	valid
13.0ms	162×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-cos: 51.0ms (70.1% of total)

ival-sub: 11.0ms (15.1% of total)

adjust: 9.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess40.0ms (0.5%)

Memory

-14.5MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
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	4	8
0	6	8
1	10	8
2	14	8
3	19	8
4	25	8
5	33	8
6	43	8
7	54	8
8	57	8
0	57	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1%)

Memory

12.2MiB live, 82.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(cos.f64 x)
accuracy	29.73869952316632	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

65.0ms	171×	2	valid
6.0ms	81×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

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

ival-cos: 51.0ms (85.5% of total)

adjust: 4.0ms (6.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Counts

2 → 10

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- 1 (cos x)) (cos x))
0.0ms	x	@	inf	((- 1 (cos x)) (cos x))
0.0ms	x	@	-inf	((- 1 (cos x)) (cos x))

simplify533.0ms (6.5%)

Memory

-9.9MiB live, 280.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	102
1	101	102
2	246	102
3	588	102
4	1237	102
5	1916	102
6	2187	102
7	2836	102
8	4071	102
9	5644	102
10	6541	102
11	6820	102
12	6859	102
13	6859	102
14	7273	102
15	7549	102
16	7590	102
17	7592	102
18	7592	102
19	7592	102
20	7592	102
21	7602	102
22	7602	102
23	7602	102
0	8507	90

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

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)))
(- 1 (cos x))
(cos x)

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

rewrite167.0ms (2%)

Memory

20.0MiB live, 297.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	23	6
2	142	6
3	1153	6
0	9240	6

Stop Event

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

Counts

2 → 314

Calls

Call 1

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

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

eval77.0ms (0.9%)

Memory: -8.8MiB live, 65.3MiB allocated
Compiler: Compiled 9 493 to 919 computations (90.3% saved)

prune56.0ms (0.7%)

Memory

-31.8MiB live, 63.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	319	5	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	5	325

Accuracy

100.0%

Counts

325 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	52.4%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.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))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.3%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 124 to 90 computations (27.4% saved)

simplify14.0ms (0.2%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	180
0	41	180
1	74	180
2	123	180
3	227	180
4	375	180
5	455	180
6	483	180
7	511	180
8	516	180
0	516	180

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize153.0ms (1.9%)

Memory

11.5MiB live, 323.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.0	(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.026386279305326048	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	29.73869952316632	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.41582035989013977	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0.47338702428495644	#s(approx (cos x) #s(literal 1 binary64))
accuracy	29.73869952316632	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (- 1 (cos x)) (.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))
accuracy	0.00390625	(.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)
accuracy	0.00390625	(.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)
accuracy	0.0078125	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))

Samples

96.0ms	171×	2	valid
34.0ms	81×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 322 to 50 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-cos: 30.0ms (31.9% of total)

ival-mult: 26.0ms (27.7% of total)

adjust: 15.0ms (16% of total)

const: 10.0ms (10.6% of total)

ival-add: 8.0ms (8.5% of total)

ival-sub: 4.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-24.4MiB live, 14.2MiB allocated

Counts

17 → 41

Calls

Call 1

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

Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
1
(+ 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)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

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

3.0ms

inf

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

2.0ms

-inf

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

simplify209.0ms (2.5%)

Memory

-1.7MiB live, 189.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	363
1	218	363
2	570	363
3	1578	363
4	4185	363
5	7396	363
0	8008	336

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
1
(+ 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)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x (/.f64 #s(literal 1/2 binary64) 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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #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 (.f64 #s(literal -1/720 binary64) x) x #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)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/720 binary64)) x (/.f64 #s(literal -1/24 binary64) x)))
(cos x)
(cos.f64 x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/720 (pow x 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)

rewrite262.0ms (3.2%)

Memory

19.1MiB live, 182.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	158
0	41	158
1	157	158
2	1043	158
0	8595	158

Stop Event

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

Counts

17 → 527

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x x)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (.f64 x (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x))))
(fma.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) x)) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 x (neg.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
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(.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/298598400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/51998697814228992000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/2641807540224 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/191102976 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5159780352000 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))

eval132.0ms (1.6%)

Memory: 8.3MiB live, 131.6MiB allocated
Compiler: Compiled 17 265 to 2 381 computations (86.2% saved)

prune25.0ms (0.3%)

Memory

5.9MiB live, 42.5MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	592	1	593
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	593	5	598

Accuracy

100.0%

Counts

598 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	52.4%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (.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))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.4%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 76 to 54 computations (28.9% saved)

simplify30.0ms (0.4%)

Memory

-35.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
0	18	77
1	33	77
2	52	77
3	102	77
4	141	77
5	152	77
6	162	77
7	173	77
8	176	77
0	176	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize151.0ms (1.8%)

Memory

18.1MiB live, 129.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
accuracy	0.00390625	(.f64 (.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
accuracy	0.00390625	(.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
accuracy	0.4229007383804626	#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))

Samples

72.0ms	81×	1	valid
68.0ms	171×	2	valid
0.0ms	4×	0	valid

Compiler

Compiled 130 to 33 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

const: 48.0ms (37.7% of total)

ival-cos: 41.0ms (32.2% of total)

ival-mult: 19.0ms (14.9% of total)

adjust: 10.0ms (7.8% of total)

ival-add: 5.0ms (3.9% of total)

ival-sub: 4.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 22

Calls

Call 1

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

Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

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

0.0ms

inf

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

0.0ms

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

simplify158.0ms (1.9%)

Memory

3.8MiB live, 162.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	231
1	149	231
2	363	231
3	952	231
4	2492	231
5	5528	231
0	8447	216

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))

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

rewrite231.0ms (2.8%)

Memory

-20.6MiB live, 233.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	18	75
1	76	75
2	481	75
3	4922	75
0	8287	67

Stop Event

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

Counts

4 → 8

Calls

Call 1

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

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

eval3.0ms (0%)

Memory: 6.2MiB live, 6.2MiB allocated
Compiler: Compiled 692 to 121 computations (82.5% saved)

prune4.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	26	5	31

Accuracy

100.0%

Counts

31 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	52.4%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (.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))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓	99.4%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 166 to 94 computations (43.4% saved)

regimes24.0ms (0.3%)

Memory

-21.1MiB live, 16.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.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))

Calls

3 calls:

19.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
3.0ms	x
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
100.0%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
100.0%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	(cos.f64 x)

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes28.0ms (0.3%)

Memory

-32.5MiB live, 7.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
1.0ms	(cos.f64 x)
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.3%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
52.4%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

simplify62.0ms (0.8%)

Memory

-8.9MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	75
1	42	75
2	46	75
3	48	75
4	49	75

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.5s (30.8%)

Memory

2.3MiB live, 397.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	102
1	101	102
2	246	102
3	588	102
4	1237	102
5	1916	102
6	2187	102
7	2836	102
8	4071	102
9	5644	102
10	6541	102
11	6820	102
12	6859	102
13	6859	102
14	7273	102
15	7549	102
16	7590	102
17	7592	102
18	7592	102
19	7592	102
20	7592	102
21	7602	102
22	7602	102
23	7602	102
0	8507	90
0	87	363
1	218	363
2	570	363
3	1578	363
4	4185	363
5	7396	363
0	8008	336

Stop Event

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

Compiler

Compiled 133 to 74 computations (44.4% saved)

preprocess36.0ms (0.4%)

Memory: 17.7MiB live, 56.0MiB allocated
Remove: (abs x)
Compiler: Compiled 258 to 142 computations (45% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Iter	Nodes	Cost
0	25	180
0	41	180
1	74	180
2	123	180
3	227	180
4	375	180
5	455	180
6	483	180
7	511	180
8	516	180
0	516	180

Iter	Nodes	Cost
0	16	77
0	18	77
1	33	77
2	52	77
3	102	77
4	141	77
5	152	77
6	162	77
7	173	77
8	176	77
0	176	69

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Iter	Nodes	Cost
0	25	180
0	41	180
1	74	180
2	123	180
3	227	180
4	375	180
5	455	180
6	483	180
7	511	180
8	516	180
0	516	180

Iter	Nodes	Cost
0	16	77
0	18	77
1	33	77
2	52	77
3	102	77
4	141	77
5	152	77
6	162	77
7	173	77
8	176	77
0	176	69

start0.0ms (0%)

analyze3.0ms (0%)

sample3.0s (36.9%)

explain135.0ms (1.7%)

preprocess40.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize78.0ms (1%)

series1.0ms (0%)

simplify533.0ms (6.5%)

rewrite167.0ms (2%)

eval77.0ms (0.9%)

prune56.0ms (0.7%)

simplify14.0ms (0.2%)

localize153.0ms (1.9%)

series9.0ms (0.1%)

simplify209.0ms (2.5%)

rewrite262.0ms (3.2%)

eval132.0ms (1.6%)

prune25.0ms (0.3%)

simplify30.0ms (0.4%)

localize151.0ms (1.8%)

series2.0ms (0%)

simplify158.0ms (1.9%)

rewrite231.0ms (2.8%)

eval3.0ms (0%)

prune4.0ms (0%)

regimes24.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes28.0ms (0.3%)

regimes3.0ms (0%)

simplify62.0ms (0.8%)

soundness2.5s (30.8%)

preprocess36.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Iter	Nodes	Cost
0	25	180
0	41	180
1	74	180
2	123	180
3	227	180
4	375	180
5	455	180
6	483	180
7	511	180
8	516	180
0	516	180

Iter	Nodes	Cost
0	16	77
0	18	77
1	33	77
2	52	77
3	102	77
4	141	77
5	152	77
6	162	77
7	173	77
8	176	77
0	176	69