Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample758.0ms (14.8%)

Memory

14.8MiB live, 716.3MiB allocated

Samples

541.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-div: 226.0ms (78.3% of total)

ival-sub: 45.0ms (15.6% of total)

exact: 8.0ms (2.8% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain54.0ms (1.1%)

Memory

-9.0MiB live, 77.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (53.8% of total)

ival-sub: 2.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.3%)

Memory

-7.2MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
0	5	3
0	8	3
1	10	3
0	10	3

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	10	7
0	10	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)

Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize12.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01171875	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

8.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (55.6% of total)

ival-sub: 1.0ms (27.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 5

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Outputs
-1/3
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ 1 3) (- x (/ 1 3)))
0.0ms	x	@	-inf	((/ 1 3) (- x (/ 1 3)))
0.0ms	x	@	0	((/ 1 3) (- x (/ 1 3)))

simplify16.0ms (0.3%)

Memory

-24.3MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 4

Calls

Call 1

Inputs
-1/3
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)

rewrite281.0ms (5.5%)

Memory

2.9MiB live, 152.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	110	4
3	815	4
0	8726	4

Stop Event

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

Counts

2 → 141

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Outputs
#s(literal 1/3 binary64)
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x (.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 1/9 binary64)))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 1/9 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/19683 binary64) (.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/729 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/19683 binary64) (+.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 x #s(literal 1/3 binary64))
(+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64)))) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1/3 binary64) x)))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x)))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x)))))
(+.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))

eval18.0ms (0.4%)

Memory: 16.4MiB live, 53.5MiB allocated
Compiler: Compiled 4 958 to 452 computations (90.9% saved)

prune4.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	5	145

Accuracy

100.0%

Counts

145 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
▶	61.1%	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
▶	51.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 140 to 90 computations (35.7% saved)

simplify173.0ms (3.4%)

Memory

-19.9MiB live, 237.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
cost-diff	5	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
cost-diff	7	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	2	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
cost-diff	10	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(/.f64 #s(literal -1/3 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
cost-diff	0	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	182
0	46	182
1	90	162
2	276	157
3	923	155
4	5552	153
0	8979	151

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal -1 binary64)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/81 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

Outputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal -1 binary64)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/81 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)

localize119.0ms (2.3%)

Memory

-9.8MiB live, 110.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.03125	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
accuracy	0.03515625	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.51953125	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy	26.581127601112215	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
accuracy	0.01171875	(+.f64 x #s(literal 1/3 binary64))
accuracy	0.0390625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.0546875	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy	24.116821476522706	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy	0.0	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
accuracy	0.1796875	(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
accuracy	0.390625	(/.f64 #s(literal -1/3 binary64) x)
accuracy	31.238700399017723	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))

Samples

102.0ms

256×

valid

Compiler

Compiled 182 to 30 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 35.0ms (39.9% of total)

ival-pow: 17.0ms (19.4% of total)

ival-sub: 13.0ms (14.8% of total)

const: 13.0ms (14.8% of total)

ival-div: 7.0ms (8% of total)

ival-add: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series10.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

16 → 58

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))

Outputs
-1/3
(- x 1/3)
(/ -1/3 x)
(/ (- x 1/3) x)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
1
(- 1 (* 1/3 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))
3.0ms	x	@	0	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))
3.0ms	x	@	inf	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))

Time

Variable

Point

Expression

4.0ms

-inf

((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))

3.0ms

((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))

3.0ms

inf

((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))

simplify917.0ms (17.9%)

Memory

-17.4MiB live, 139.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	526
1	533	509
2	1699	497
3	7199	497
0	8169	486

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(/ -1/3 x)
(/ (- x 1/3) x)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
1
(- 1 (* 1/3 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ (- x 1/3) x)
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(fma.f64 (-.f64 (.f64 x x) #s(literal 2/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/81 binary64) x) x #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (.f64 x x) #s(literal 1/729 binary64))
-1/27
#s(literal -1/27 binary64)
(- (* -1/9 x) 1/27)
(-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal -1/3 binary64) x)
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x x) x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal -1/3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)))

rewrite211.0ms (4.1%)

Memory

-8.7MiB live, 186.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	145
0	46	100
1	168	97
2	1172	95
0	8863	95

Stop Event

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

Counts

16 → 996

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 (neg.f64 x) #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))
(.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))))
(.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x))) (.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))
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(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 x (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) x (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) x) (.f64 x x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) (.f64 x x) (.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 x (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) x (.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))) (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) x (.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))
(-.f64 (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) (*.f64 x x)))
(-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (.f64 x x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(-.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) x))
(-.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x x)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(+.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(+.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))

eval242.0ms (4.7%)

Memory: 33.0MiB live, 336.8MiB allocated
Compiler: Compiled 50 750 to 4 186 computations (91.8% saved)

prune23.0ms (0.4%)

Memory

-4.2MiB live, 72.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 328	2	1 330
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 330	5	1 335

Accuracy

100.0%

Counts

1 335 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
▶	51.4%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
✓	51.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 74 to 55 computations (25.7% saved)

simplify150.0ms (2.9%)

Memory

6.1MiB live, 164.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
cost-diff	5	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	142
0	33	142
1	65	142
2	186	140
3	640	136
4	1892	132
5	4394	132
6	6016	132
0	8018	128

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (-.f64 x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)

localize134.0ms (2.6%)

Memory

0.9MiB live, 163.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.51953125	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy	26.581127601112215	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
accuracy	30.88519071946801	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy	0.01171875	(+.f64 x #s(literal 1/3 binary64))
accuracy	0.0390625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	24.116821476522706	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy	30.841040689185583	#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))

Samples

74.0ms

256×

valid

Compiler

Compiled 140 to 21 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

const: 12.0ms (32.2% of total)

ival-mult: 9.0ms (24.2% of total)

ival-pow: 8.0ms (21.5% of total)

ival-div: 3.0ms (8.1% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 2.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

9 → 54

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(+.f64 x #s(literal 1/3 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))

Outputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))

1.0ms

-inf

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))

1.0ms

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (+ x 1/3) (* (+ (* x x) 1/9) (+ x 1/3)))

simplify201.0ms (3.9%)

Memory

-7.1MiB live, 200.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	512
1	528	495
2	1691	483
3	7262	483
0	8223	472

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(fma.f64 (-.f64 (.f64 x x) #s(literal 2/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))
-1/27
#s(literal -1/27 binary64)
(- (* -1/9 x) 1/27)
(-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/81 binary64) x) x #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (.f64 x x) #s(literal 1/729 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal -1/3 binary64) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x x) x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)))

rewrite312.0ms (6.1%)

Memory

3.5MiB live, 197.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	33	108
1	124	108
2	876	98
0	8578	98

Stop Event

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

Counts

9 → 685

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(+.f64 x #s(literal 1/3 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))

Outputs
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x)))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 x x) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
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(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (+.f64 #s(literal 1/3 binary64) x)) (.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal 1/3 binary64)))))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/729 binary64) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))))) (/.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))))))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x)))
(+.f64 (.f64 #s(literal 1/9 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(+.f64 (.f64 #s(literal 1/9 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 1/9 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(+.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) (+.f64 #s(literal 1/27 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x)))
(+.f64 (.f64 x #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(+.f64 (.f64 x #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 x #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) x) x))
(+.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(+.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(+.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x)))
(+.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) x) x (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/9 binary64) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) #s(literal 1/3 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) #s(literal 1/3 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) x (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1/9 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))

eval154.0ms (3%)

Memory: -2.2MiB live, 185.8MiB allocated
Compiler: Compiled 35 105 to 2 983 computations (91.5% saved)

prune191.0ms (3.7%)

Memory

-187.4MiB live, 69.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	846	2	848
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	848	5	853

Accuracy

100.0%

Counts

853 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
▶	50.8%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
✓	51.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 79 to 56 computations (29.1% saved)

simplify403.0ms (7.9%)

Memory

29.6MiB live, 138.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
cost-diff	0	#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	147
0	37	147
1	67	147
2	147	147
3	402	147
4	909	147
5	1597	147
6	2286	147
7	3216	147
8	4092	147
9	5200	147
10	6139	147
11	6574	147
12	6810	147
13	7033	147
14	7218	147
15	7358	147
16	7524	147
17	7596	147
18	7616	147
19	7616	147
20	7622	147
21	7628	147
22	7628	147
23	7737	147
24	7745	147
25	7753	147
0	7753	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)

Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
x
#s(literal 1/3 binary64)
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx ( (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(.f64 #s(approx ( (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)

localize108.0ms (2.1%)

Memory

-1.8MiB live, 115.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.51953125	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
accuracy	26.581127601112215	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
accuracy	30.88519071946801	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy	31.41443112410472	#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
accuracy	0.0390625	(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	24.116821476522706	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy	30.841040689185583	#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
accuracy	31.690873786992324	#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))

Samples

97.0ms

256×

valid

Compiler

Compiled 129 to 23 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

const: 17.0ms (37% of total)

ival-mult: 14.0ms (30.5% of total)

ival-pow: 6.0ms (13.1% of total)

ival-div: 3.0ms (6.5% of total)

ival-add: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

9 → 51

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

Outputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))

1.0ms

-inf

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))

1.0ms

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))

simplify150.0ms (2.9%)

Memory

23.0MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	505
1	520	488
2	1674	482
3	6920	482
0	8175	470

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

Inputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(fma.f64 (-.f64 (.f64 x x) #s(literal 2/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))
-1/27
#s(literal -1/27 binary64)
(- (* -1/9 x) 1/27)
(-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
(-.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 #s(literal -1/81 binary64) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (.f64 x x) #s(literal 1/729 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x x) x)
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)))

rewrite162.0ms (3.2%)

Memory

8.6MiB live, 199.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
0	37	125
1	125	125
2	777	125
0	8466	122

Stop Event

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

Counts

9 → 245

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

Outputs
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64))) #s(literal 2 binary64)))) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (fma.f64 (pow.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64))) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) x)) (pow.f64 (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))
(.f64 (-.f64 x #s(literal 1/3 binary64)) (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(/.f64 (.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 (.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x))
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(/.f64 (fabs.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64)) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64) (+.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/6561 binary64) (.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64) (+.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/531441 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64) (+.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal -1/6561 binary64) (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64) (+.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/531441 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64) (+.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(fabs.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(fabs.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(fabs.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(fabs.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

eval84.0ms (1.6%)

Memory: -22.0MiB live, 112.2MiB allocated
Compiler: Compiled 12 508 to 1 153 computations (90.8% saved)

prune27.0ms (0.5%)

Memory

-10.9MiB live, 28.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	0	0	0
Picked	0	2	2
Done	1	2	3
Total	291	5	296

Accuracy

100.0%

Counts

296 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
✓	50.8%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
	99.9%	#s(approx (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x))
✓	51.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 304 to 122 computations (59.9% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
#s(approx (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x))
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))

Outputs
(-.f64 x #s(literal 1/3 binary64))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify31.0ms (0.6%)

Memory

-5.1MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	13	8
2	17	8
3	18	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Outputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

soundness121.0ms (2.4%)

Memory

-29.6MiB live, 95.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15
0	5	4
0	8	4
1	25	4
2	110	4
3	815	4
0	8726	4

Stop Event

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess17.0ms (0.3%)

Memory: -2.3MiB live, 36.6MiB allocated
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15

start0.0ms (0%)

analyze0.0ms (0%)

sample758.0ms (14.8%)

explain54.0ms (1.1%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize12.0ms (0.2%)

series1.0ms (0%)

simplify16.0ms (0.3%)

rewrite281.0ms (5.5%)

eval18.0ms (0.4%)

prune4.0ms (0.1%)

simplify173.0ms (3.4%)

localize119.0ms (2.3%)

series10.0ms (0.2%)

simplify917.0ms (17.9%)

rewrite211.0ms (4.1%)

eval242.0ms (4.7%)

prune23.0ms (0.4%)

simplify150.0ms (2.9%)

localize134.0ms (2.6%)

series4.0ms (0.1%)

simplify201.0ms (3.9%)

rewrite312.0ms (6.1%)

eval154.0ms (3%)

prune191.0ms (3.7%)

simplify403.0ms (7.9%)

localize108.0ms (2.1%)

series3.0ms (0.1%)

simplify150.0ms (2.9%)

rewrite162.0ms (3.2%)

eval84.0ms (1.6%)

prune27.0ms (0.5%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

simplify31.0ms (0.6%)

soundness121.0ms (2.4%)

preprocess17.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15