Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample3.1s (47.1%)

Memory

-1.5MiB live, 3 730.1MiB allocated

Samples

2.2s	5 641×	2	valid
496.0ms	2 536×	1	valid
6.0ms	79×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-cos: 1.4s (60.9% of total)

const: 433.0ms (19.2% of total)

adjust: 214.0ms (9.5% of total)

ival-sub: 159.0ms (7% of total)

ival-<=: 56.0ms (2.5% of total)

ival-and: 12.0ms (0.5% of total)

exact: 5.0ms (0.2% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain231.0ms (3.5%)

Memory

25.0MiB live, 211.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
123	1	(3.8621562316964685e-162)	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(cos.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	124	0

Confusion

	Predicted +	Predicted -
+	123	0
-	1	132

Precision

0.9919354838709677

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	1	0	132

Precision?

0.9919354838709677

Recall?

1.0

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

160.0ms	372×	2	valid
11.0ms	136×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

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

ival-cos: 109.0ms (85.8% of total)

adjust: 10.0ms (7.9% of total)

ival-sub: 7.0ms (5.5% 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

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	16	9
2	24	9
3	25	9
0	4	4
0	6	4
1	15	4
2	21	4
3	26	4
0	26	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)

prune10.0ms (0.1%)

Memory

-57.0MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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	15	8
2	21	8
3	26	8
0	26	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

localize65.0ms (1%)

Memory

38.0MiB live, 81.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(cos.f64 x)
accuracy	27.17369150627677	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

55.0ms	186×	2	valid
5.0ms	68×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-cos: 42.0ms (82.2% of total)

adjust: 5.0ms (9.8% of total)

ival-sub: 3.0ms (5.9% 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

2.4MiB live, 2.4MiB 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))

simplify150.0ms (2.3%)

Memory

-35.6MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	102
1	119	102
2	317	102
3	1130	102
4	2687	102
5	4996	102
0	8365	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 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite170.0ms (2.6%)

Memory

14.1MiB live, 241.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	29	6
2	223	6
3	2247	6
0	8760	6

Stop Event

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

Counts

2 → 158

Calls

Call 1

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

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

eval21.0ms (0.3%)

Memory: -22.7MiB live, 67.3MiB allocated
Compiler: Compiled 2 937 to 564 computations (80.8% saved)

prune3.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	4	169

Accuracy

100.0%

Counts

169 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
▶	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))
▶	99.5%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 51 to 37 computations (27.5% saved)

simplify291.0ms (4.5%)

Memory

0.6MiB live, 292.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
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	21	138
0	34	138
1	72	138
2	226	138
3	942	138
4	2941	138
5	4035	138
6	4976	138
7	6376	138
0	8175	138

Stop Event

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

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

localize269.0ms (4.1%)

Memory

-16.4MiB live, 229.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.38639354633644124	#s(approx (cos x) #s(literal 1 binary64))
accuracy	27.17369150627677	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
accuracy	0.01171875	(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
accuracy	0.21875	(*.f64 #s(literal 1/720 binary64) 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	0.00390625	(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.00390625	(.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	0.01171875	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.30726550899232313	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Samples

225.0ms	186×	2	valid
20.0ms	68×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 111 to 21 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-add: 117.0ms (54.5% of total)

adjust: 34.0ms (15.8% of total)

ival-cos: 29.0ms (13.5% of total)

ival-mult: 20.0ms (9.3% of total)

const: 10.0ms (4.7% of total)

ival-sub: 4.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

14 → 34

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

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

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

2.0ms

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

simplify209.0ms (3.2%)

Memory

-24.7MiB live, 164.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	287
1	195	287
2	498	287
3	1787	286
4	5208	286
0	8285	267

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

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

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

rewrite267.0ms (4.1%)

Memory

7.5MiB live, 149.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	122
0	34	122
1	135	122
2	973	122
0	8481	122

Stop Event

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

Counts

14 → 327

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

Outputs
#s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.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))
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 x (.f64 (neg.f64 x) #s(literal 1/2 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.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 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 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))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))
(neg.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) x))
(neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x)) (neg.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 x) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(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 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))) (.f64 x x) (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))) (.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 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(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 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(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 1/2 binary64) (.f64 x x) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(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 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))) (.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))))
(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 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(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 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(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 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))) (.f64 x x)) (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) (.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x)))))))
(+.f64 (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.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 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) x)) (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) x) (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x)))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x)))))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))) x (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))) x))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))
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#s(approx (cos x) #s(literal 1 binary64))
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(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) (-.f64 (.f64 (/.f64 #s(literal -1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) (/.f64 #s(literal -1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) (/.f64 #s(literal -1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 #s(literal 1/720 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64))))
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(fma.f64 (*.f64 #s(literal -1/720 binary64) x) (neg.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
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(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) #s(literal -1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
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(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64))))
(-.f64 #s(literal -1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal -1/13824 binary64) (-.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (-.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (.f64 #s(literal -1/17280 binary64) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (-.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (.f64 #s(literal -1/17280 binary64) (.f64 x x)))) (/.f64 #s(literal -1/13824 binary64) (-.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (.f64 #s(literal -1/17280 binary64) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal -1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 x x))))) (/.f64 #s(literal -1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/720 binary64) x)) x))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 #s(literal 1/720 binary64) x) x))

eval143.0ms (2.2%)

Memory: -6.3MiB live, 82.5MiB allocated
Compiler: Compiled 12 429 to 1 582 computations (87.3% saved)

prune8.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	401	3	404
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	403	5	408

Accuracy

100.0%

Counts

408 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/2 binary64) x)) x))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.5%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 79 to 58 computations (26.6% saved)

simplify69.0ms (1.1%)

Memory

-24.5MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/2 binary64) x)) x)
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/2 binary64) x)) x))
cost-diff	2	(fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
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	27	174
0	38	174
1	80	171
2	215	171
3	657	171
4	1662	171
5	2352	171
6	2472	171
7	2539	171
8	2555	171
9	2555	171
10	2555	171
11	2595	171
0	2595	160

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

localize305.0ms (4.7%)

Memory

17.5MiB live, 260.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/2 binary64) x)) x))
accuracy	0.00390625	(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/2 binary64) x)) x)
accuracy	0.40625	(*.f64 #s(literal -1/24 binary64) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
accuracy	0.2633816638179305	#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
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	0.00390625	(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
accuracy	0.00390625	(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
accuracy	0.31069407396723336	#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))

Samples

242.0ms	186×	2	valid
45.0ms	68×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 122 to 25 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

adjust: 81.0ms (35.9% of total)

ival-mult: 67.0ms (29.7% of total)

ival-cos: 53.0ms (23.5% of total)

const: 10.0ms (4.4% of total)

ival-add: 8.0ms (3.5% of total)

ival-sub: 5.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

-29.3MiB live, 14.5MiB allocated

Counts

14 → 29

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

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

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

2.0ms

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

2.0ms

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

simplify145.0ms (2.2%)

Memory

39.7MiB live, 261.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	244
1	160	244
2	399	244
3	1431	244
4	4483	244
0	8152	230

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

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)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(pow x 2)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* -1/24 x)
(- 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))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))

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

rewrite243.0ms (3.7%)

Memory

12.6MiB live, 289.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	163
0	38	163
1	145	160
2	995	160
0	8488	149

Stop Event

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

Counts

14 → 242

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

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)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)))
(.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 x (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x))
(neg.f64 (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (neg.f64 x)) x))
(neg.f64 (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))))
(.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))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (neg.f64 x) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x))))
(neg.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
(neg.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 x (.f64 (neg.f64 x) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 (neg.f64 x) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)))) (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 x x) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (.f64 (neg.f64 x) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) x) x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (.f64 (pow.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x)))) (.f64 x x) (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x)))) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (pow.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x)) x))))))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(approx (+ ( (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))))
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(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) x) x)))
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(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) x) (.f64 x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal -1/2 binary64))))
(/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))))
(fma.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal -1/24 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (.f64 #s(literal 1/24 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) x (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x)))))) x))
(fma.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/24 binary64) x) x) (.f64 (*.f64 #s(literal 1/2 binary64) 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 (.f64 #s(literal -1/24 binary64) x) x) (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 x (/.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) (.f64 x (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x))))))))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) x) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) x))
(+.f64 (.f64 x (/.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))))) (.f64 x (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) x)
(*.f64 x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) x))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))

eval33.0ms (0.5%)

Memory: 19.9MiB live, 65.3MiB allocated
Compiler: Compiled 11 002 to 1 141 computations (89.6% saved)

prune12.0ms (0.2%)

Memory

-24.6MiB live, 20.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	297	5	302

Accuracy

100.0%

Counts

302 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/2 binary64) x)) x))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓	99.5%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 192 to 104 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* 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
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	(cos.f64 x)

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes61.0ms (0.9%)

Memory

-39.3MiB live, 24.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
56.3%	1	`(cos.f64 x)`
56.3%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
56.3%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	66
1	45	66
2	87	66
3	168	66
4	242	66
5	256	66
6	257	66

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness618.0ms (9.5%)

Memory

-15.2MiB live, 494.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	287
1	195	287
2	498	287
3	1787	286
4	5208	286
0	8285	267
0	21	122
0	34	122
1	135	122
2	973	122
0	8481	122
0	41	102
1	119	102
2	317	102
3	1130	102
4	2687	102
5	4996	102
0	8365	90

Stop Event

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

Compiler

Compiled 99 to 59 computations (40.4% saved)

preprocess45.0ms (0.7%)

Memory: 26.4MiB live, 77.3MiB allocated
Remove: (abs x)
Compiler: Compiled 194 to 106 computations (45.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample3.1s (47.1%)

explain231.0ms (3.5%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify4.0ms (0.1%)

localize65.0ms (1%)

series1.0ms (0%)

simplify150.0ms (2.3%)

rewrite170.0ms (2.6%)

eval21.0ms (0.3%)

prune3.0ms (0%)

simplify291.0ms (4.5%)

localize269.0ms (4.1%)

series7.0ms (0.1%)

simplify209.0ms (3.2%)

rewrite267.0ms (4.1%)

eval143.0ms (2.2%)

prune8.0ms (0.1%)

simplify69.0ms (1.1%)

localize305.0ms (4.7%)

series17.0ms (0.3%)

simplify145.0ms (2.2%)

rewrite243.0ms (3.7%)

eval33.0ms (0.5%)

prune12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes61.0ms (0.9%)

simplify13.0ms (0.2%)

soundness618.0ms (9.5%)

preprocess45.0ms (0.7%)

end0.0ms (0%)

Profiling