Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

8.8MiB live, 8.8MiB 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)

sample2.9s (35.5%)

Memory

12.3MiB live, 2 803.6MiB allocated

Samples

2.0s	5 665×	2	valid
423.0ms	2 491×	1	valid
15.0ms	100×	0	valid

Precisions

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

ival-cos: 1.4s (66.5% of total)

const: 278.0ms (13.7% of total)

adjust: 197.0ms (9.7% of total)

ival-sub: 130.0ms (6.4% of total)

ival-<=: 54.0ms (2.7% of total)

ival-and: 11.0ms (0.5% of total)

exact: 5.0ms (0.2% of total)

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

Bogosity

explain202.0ms (2.5%)

Memory

0.9MiB live, 156.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
140	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	140	0

Confusion

	Predicted +	Predicted -
+	140	0
-	0	116

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	0
-	0	0	116

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	116
1	140

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms	350×	2	valid
13.0ms	160×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-cos: 75.0ms (81.5% of total)

adjust: 9.0ms (9.8% of total)

ival-sub: 7.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess13.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB 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	102	8
6	109	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

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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

localize100.0ms (1.2%)

Memory

-18.8MiB live, 68.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(cos.f64 x)
accuracy	32.37521626820178	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

87.0ms	175×	2	valid
6.0ms	80×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-sub: 55.0ms (65.3% of total)

ival-cos: 25.0ms (29.7% of total)

adjust: 4.0ms (4.7% 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

2.0MiB live, 2.0MiB 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))

simplify502.0ms (6.2%)

Memory

-32.1MiB live, 305.7MiB 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	2425	102
7	3090	102
8	4387	102
9	5950	102
10	6860	102
11	7138	102
12	7177	102
13	7177	102
14	7601	102
15	7877	102
16	7918	102
17	7920	102
18	7920	102
19	7920	102
20	7920	102
21	7930	102
22	7930	102
23	7930	102
0	8835	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)

rewrite175.0ms (2.2%)

Memory

8.5MiB live, 288.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	23	6
2	144	6
3	1181	6
0	8968	6

Stop Event

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

Counts

2 → 137

Calls

Call 1

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

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

eval16.0ms (0.2%)

Memory: 1.1MiB live, 38.2MiB allocated
Compiler: Compiled 3 373 to 445 computations (86.8% saved)

prune3.0ms (0%)

Memory

10.5MiB live, 10.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	3	148

Accuracy

100.0%

Counts

148 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	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))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Status

Accuracy

Program

▶

49.2%

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

▶

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))

▶

99.9%

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify9.0ms (0.1%)

Memory

-25.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
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 #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	(.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
0	22	76
1	38	76
2	60	76
3	93	76
4	116	76
5	133	76
6	149	76
7	166	76
8	170	76
0	170	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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)
#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)
(-.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))

Outputs
#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)
#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)
(-.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))

localize178.0ms (2.2%)

Memory

15.3MiB live, 217.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.09938976006182842	#s(approx (cos x) #s(literal 1 binary64))
accuracy	32.37521626820178	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
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	0.0	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.08711951117459585	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Samples

153.0ms	175×	2	valid
13.0ms	80×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 136 to 30 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-cos: 77.0ms (63.9% of total)

ival-mult: 26.0ms (21.6% of total)

adjust: 8.0ms (6.6% of total)

ival-sub: 4.0ms (3.3% of total)

const: 4.0ms (3.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

9 → 22

Calls

Call 1

Inputs
#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)
#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))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 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))))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
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))
(* -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))
(cos x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- 1 (cos x)) (* (* x x) 1/2) (* x x) (- 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 (cos x)) (cos x))
1.0ms	x	@	-inf	((- 1 (cos x)) (* (* x x) 1/2) (* x x) (- 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 (cos x)) (cos x))
1.0ms	x	@	0	((- 1 (cos x)) (* (* x x) 1/2) (* x x) (- 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 (cos x)) (cos x))

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify107.0ms (1.3%)

Memory

-6.5MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	176
1	146	176
2	375	176
3	997	176
4	2554	176
5	6032	176
0	8051	158

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))))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
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))
(* -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))
(cos x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))

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

rewrite226.0ms (2.8%)

Memory

-2.5MiB live, 273.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	22	67
1	77	67
2	460	67
3	3772	67
0	11967	67

Stop Event

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

Counts

9 → 290

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 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 (.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) x) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) x) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) x) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/331776 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) x) (fma.f64 #s(literal 1/191102976 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/331776 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) x) (pow.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) x) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))))
(.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (.f64 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)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) x)) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) x) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) x)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64))) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (cos x) #s(literal 1 binary64))))

eval37.0ms (0.5%)

Memory: -1.4MiB live, 72.4MiB allocated
Compiler: Compiled 8 009 to 1 156 computations (85.6% saved)

prune6.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	313	2	315
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	314	4	318

Accuracy

100.0%

Counts

318 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	4.2%	(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	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))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify7.0ms (0.1%)

Memory

-27.6MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
0	18	64
1	30	64
2	38	64
3	43	64
4	50	64
5	58	64
6	68	64
7	79	64
8	82	64
0	82	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize113.0ms (1.4%)

Memory

10.3MiB live, 222.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.09938976006182842	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.0	(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
accuracy	0.0	(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
accuracy	0.0	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
accuracy	0.08929225054034493	#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))

Samples

85.0ms	175×	2	valid
19.0ms	80×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 106 to 31 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-cos: 25.0ms (28.6% of total)

ival-add: 24.0ms (27.4% of total)

ival-mult: 18.0ms (20.6% of total)

adjust: 12.0ms (13.7% of total)

ival-sub: 4.0ms (4.6% of total)

const: 4.0ms (4.6% 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

4.4MiB live, 4.4MiB allocated

Counts

6 → 26

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos x) #s(literal 1 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))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 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))
(* -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 (cos x))
(cos x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify190.0ms (2.4%)

Memory

-4.0MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	217
1	154	217
2	383	217
3	1016	217
4	2610	217
5	6100	217
0	8045	193

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

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))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 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))
(* -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 (cos x))
(cos x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))

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

rewrite317.0ms (3.9%)

Memory

23.7MiB live, 178.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	61
0	18	61
1	69	61
2	424	61
3	3517	61
0	10920	57

Stop Event

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

Counts

6 → 85

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)))
(.f64 x (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x))
(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
(.f64 x #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (neg.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64))) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (cos x) #s(literal 1 binary64))))

eval33.0ms (0.4%)

Memory: -21.1MiB live, 15.5MiB allocated
Compiler: Compiled 2 288 to 310 computations (86.5% saved)

prune4.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	106	4	110

Accuracy

100.0%

Counts

110 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	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))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
▶	4.2%	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Compiler

Compiled 45 to 36 computations (20% saved)

simplify3.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
0	6	7
1	9	7
0	9	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(literal 2 binary64)

localize66.0ms (0.8%)

Memory

-16.3MiB live, 19.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0.09548351006182844	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 14 to 13 computations (7.1% saved)

Precisions

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

ival-cos: 2.0ms (53.5% of total)

ival-add: 1.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

1 → 5

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))

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

Calls

3 calls:

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

simplify224.0ms (2.8%)

Memory

-4.3MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	44	44
2	95	44
3	210	44
4	365	44
5	496	44
6	605	44
7	827	44
8	1386	44
9	2194	44
10	3429	44
11	3913	44
12	4012	44
13	4045	44
14	4722	44
15	4986	44
16	4986	44
17	4986	44
18	4986	44
19	4986	44
20	4988	44
0	4988	38

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 5

Calls

Call 1

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

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

rewrite167.0ms (2.1%)

Memory

26.0MiB live, 134.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
0	6	6
1	22	6
2	134	6
3	1235	6
0	8193	6

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Outputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))

eval1.0ms (0%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 63 to 23 computations (63.5% saved)

prune2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	5	0	5
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	5	4	9

Accuracy

100.0%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	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))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
✓	4.2%	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Compiler

Compiled 110 to 67 computations (39.1% saved)

regimes51.0ms (0.6%)

Memory

-13.3MiB live, 32.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

46.0ms	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)

regimes6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #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
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.9%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-27.4MiB live, 10.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

7.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.9%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
49.2%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (cos x) 1) #s(literal 2 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
4.2%	1	`x`
4.2%	1	`(cos.f64 x)`
4.2%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`

Compiler

Compiled 7 to 7 computations (0% saved)

simplify70.0ms (0.9%)

Memory

-1.4MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	55
1	36	55
2	46	55
3	55	55
4	68	55
5	80	55
6	133	55
7	306	55
8	4011	55
9	6159	55
10	7458	55

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness2.3s (28.6%)

Memory

18.6MiB live, 579.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	217
1	154	217
2	383	217
3	1016	217
4	2610	217
5	6100	217
0	8045	193
0	59	176
1	146	176
2	375	176
3	997	176
4	2554	176
5	6032	176
0	8051	158
0	41	102
1	101	102
2	246	102
3	588	102
4	1237	102
5	1916	102
6	2425	102
7	3090	102
8	4387	102
9	5950	102
10	6860	102
11	7138	102
12	7177	102
13	7177	102
14	7601	102
15	7877	102
16	7918	102
17	7920	102
18	7920	102
19	7920	102
20	7920	102
21	7930	102
22	7930	102
23	7930	102
0	8835	90
0	15	67
0	22	67
1	77	67
2	460	67
3	3772	67
0	11967	67

Stop Event

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

Compiler

Compiled 103 to 67 computations (35% saved)

preprocess33.0ms (0.4%)

Memory: -4.8MiB live, 72.3MiB allocated
Remove: (abs x)
Compiler: Compiled 168 to 100 computations (40.5% 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	102	8
6	109	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	15	76
0	22	76
1	38	76
2	60	76
3	93	76
4	116	76
5	133	76
6	149	76
7	166	76
8	170	76
0	170	76

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	102	8
6	109	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	15	76
0	22	76
1	38	76
2	60	76
3	93	76
4	116	76
5	133	76
6	149	76
7	166	76
8	170	76
0	170	76

start0.0ms (0%)

analyze3.0ms (0%)

sample2.9s (35.5%)

explain202.0ms (2.5%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize100.0ms (1.2%)

series1.0ms (0%)

simplify502.0ms (6.2%)

rewrite175.0ms (2.2%)

eval16.0ms (0.2%)

prune3.0ms (0%)

simplify9.0ms (0.1%)

localize178.0ms (2.2%)

series4.0ms (0.1%)

simplify107.0ms (1.3%)

rewrite226.0ms (2.8%)

eval37.0ms (0.5%)

prune6.0ms (0.1%)

simplify7.0ms (0.1%)

localize113.0ms (1.4%)

series2.0ms (0%)

simplify190.0ms (2.4%)

rewrite317.0ms (3.9%)

eval33.0ms (0.4%)

prune4.0ms (0%)

simplify3.0ms (0%)

localize66.0ms (0.8%)

series0.0ms (0%)

simplify224.0ms (2.8%)

rewrite167.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes51.0ms (0.6%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

simplify70.0ms (0.9%)

soundness2.3s (28.6%)

preprocess33.0ms (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	102	8
6	109	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	15	76
0	22	76
1	38	76
2	60	76
3	93	76
4	116	76
5	133	76
6	149	76
7	166	76
8	170	76
0	170	76