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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

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)

sample1.1s (34.9%)

Memory

-17.7MiB live, 789.1MiB allocated; 181ms collecting garbage

Samples

629.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-div: 167.0ms (67.6% of total)

ival-sub: 62.0ms (25.1% of total)

exact: 7.0ms (2.8% of total)

ival-true: 5.0ms (2% of total)

adjust: 3.0ms (1.2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain100.0ms (3.2%)

Memory

18.2MiB live, 111.4MiB allocated; 9ms collecting garbage

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

30.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (50.1% of total)

ival-sub: 2.0ms (25% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

simplify4.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

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)

localize23.0ms (0.7%)

Memory

-28.9MiB live, 16.4MiB allocated; 12ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 10.0ms (83.2% of total)

ival-sub: 1.0ms (8.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)))

simplify12.0ms (0.4%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

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)

rewrite184.0ms (5.8%)

Memory

9.7MiB live, 153.4MiB allocated; 17ms collecting garbage

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 4 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 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 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)))))

eval38.0ms (1.2%)

Memory: 8.5MiB live, 54.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 958 to 452 computations (90.9% saved)

prune3.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	3	145

Accuracy

100.0%

Counts

145 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.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)))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	45.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Status

Accuracy

Program

▶

57.1%

(/.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)))))

▶

100.0%

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

▶

45.1%

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

Compiler

Compiled 43 to 23 computations (46.5% saved)

simplify286.0ms (9%)

Memory

-11.8MiB live, 136.0MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	6	(.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	6	(.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))))
cost-diff	18	(/.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)))))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	117
0	29	87
1	55	87
2	173	85
3	802	85
4	4516	75
0	8524	75

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
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 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 x x) #s(literal 1/9 binary64))
(*.f64 x 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 (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)
(-.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))))

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

localize135.0ms (4.3%)

Memory

-15.6MiB live, 95.7MiB allocated; 105ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(.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	0.07421875	(.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))))
accuracy	17.78153681528424	(/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	26.84608515080672	(/.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)))))
accuracy	0.00390625	(-.f64 x #s(literal 1/3 binary64))
accuracy	35.16458832455961	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

124.0ms

256×

valid

Compiler

Compiled 126 to 20 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 63.0ms (64.1% of total)

ival-add: 17.0ms (17.3% of total)

const: 9.0ms (9.2% of total)

ival-mult: 6.0ms (6.1% of total)

ival-sub: 3.0ms (3.1% of total)

adjust: 0.0ms (0% 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

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

7 → 38

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 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 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 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
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/27 x))
(+ 1/81 (* x (- (* 2/9 x) 2/27)))
(+ 1/81 (* x (- (* x (+ 2/9 (* -2/3 x))) 2/27)))
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* -1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (- x 1/3)))) 1/27)
-1/9
(- (pow x 2) 1/9)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* 6 x) 1)))
(+ 1/3 (* x (- (* x (+ 6 (* -18 x))) 1)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 2/9 (pow x 2))) (* 2/3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 2/9 (pow x 2))) (+ (* 2/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))
(pow x 3)
(* (pow x 3) (- 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))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 2/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 2/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* (pow x 4) (+ 1 (* -1 (/ (- 2/3 (* 2/9 (/ 1 x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ 2/3 (* -1 (/ (- 2/9 (* 2/27 (/ 1 x))) x))) x))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ 1 x)) 2/9) x)) 1/3) x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* 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	@	-inf	((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* 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	@	0	((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))

Time

Variable

Point

Expression

1.0ms

inf

((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* 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 (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* 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 (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (/ (+ (* x x) 1/9) (+ x 1/3)) (- x 1/3))) (* (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (/ (+ (* x x) 1/9) (+ x 1/3)))

simplify123.0ms (3.9%)

Memory

-6.5MiB live, 186.0MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	351
1	412	342
2	1042	327
3	3734	317
0	8475	302

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

Inputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/27 x))
(+ 1/81 (* x (- (* 2/9 x) 2/27)))
(+ 1/81 (* x (- (* x (+ 2/9 (* -2/3 x))) 2/27)))
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* -1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (- x 1/3)))) 1/27)
-1/9
(- (pow x 2) 1/9)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* 6 x) 1)))
(+ 1/3 (* x (- (* x (+ 6 (* -18 x))) 1)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 2/9 (pow x 2))) (* 2/3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 2/9 (pow x 2))) (+ (* 2/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))
(pow x 3)
(* (pow x 3) (- 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))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 2/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 2/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* (pow x 4) (+ 1 (* -1 (/ (- 2/3 (* 2/9 (/ 1 x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ 2/3 (* -1 (/ (- 2/9 (* 2/27 (/ 1 x))) x))) x))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ 1 x)) 2/9) x)) 1/3) 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 (* -2/27 x))
(fma.f64 #s(literal -2/27 binary64) x #s(literal 1/81 binary64))
(+ 1/81 (* x (- (* 2/9 x) 2/27)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 2/27 binary64)) x #s(literal 1/81 binary64))
(+ 1/81 (* x (- (* x (+ 2/9 (* -2/3 x))) 2/27)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 2/9 binary64)) x) #s(literal 2/27 binary64)) 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 (+ 1/9 (* -1/3 x))) 1/27)
(-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
(- (* x (+ 1/9 (* x (- x 1/3)))) 1/27)
(-.f64 (*.f64 (fma.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)
(fma.f64 x x #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* x (- (* 6 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (+ 6 (* -18 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -18 binary64) x #s(literal 6 binary64)) x) #s(literal 1 binary64)) x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/3 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 2/9 (pow x 2))) (* 2/3 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/9 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 2/9 (pow x 2))) (+ (* 2/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) 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 x #s(literal 1/3 binary64)) x) x)
(* (pow x 3) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(fma.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) x (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* x (- (+ 1 (/ 2/9 (pow x 2))) (* 1/3 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64))
(* x (- (+ 1 (/ 2/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x) #s(literal 1/3 binary64)) x) x x)
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (- 2/3 (* 2/9 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/9 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (+ 2/3 (* -1 (/ (- 2/9 (* 2/27 (/ 1 x))) x))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 2/9 (/ 1 x)) 1/3) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ 1 x)) 2/9) x)) 1/3) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))

rewrite211.0ms (6.6%)

Memory

6.9MiB live, 419.8MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	29	56
1	97	44
2	731	44
0	8510	44

Stop Event

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

Counts

7 → 909

Calls

Call 1

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

eval176.0ms (5.5%)

Memory: -6.4MiB live, 371.6MiB allocated; 71ms collecting garbage
Compiler: Compiled 48 064 to 3 165 computations (93.4% saved)

prune17.0ms (0.5%)

Memory

16.2MiB live, 62.8MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1 061	1	1 062
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 062	3	1 065

Accuracy

100.0%

Counts

1 065 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

57.1%

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

✓

100.0%

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

✓

45.1%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify139.0ms (4.4%)

Memory

8.4MiB live, 226.0MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
cost-diff	18	(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	58
0	16	40
1	42	40
2	231	40
3	1467	40
4	5618	40
0	8743	40

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.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 #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(fma.f64 x x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))

Outputs
(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.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 x #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(fma.f64 x x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))

localize67.0ms (2.1%)

Memory

8.3MiB live, 64.1MiB allocated; 34ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03125	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.04296875	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.07421875	(.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
accuracy	26.84608515080672	(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.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))))

Samples

60.0ms

256×

valid

Compiler

Compiled 65 to 12 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 33.0ms (75.3% of total)

const: 6.0ms (13.7% of total)

ival-div: 2.0ms (4.6% of total)

ival-sub: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

5 → 33

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

((/ (* (* (- x 1/3) (- x 1/3)) (+ (* x x) 1/9)) (* (+ (* x x) 1/9) (- x 1/3))) (* (* (- x 1/3) (- x 1/3)) (+ (* x x) 1/9)) (* (- x 1/3) (- x 1/3)) (- x 1/3) (* (+ (* x x) 1/9) (- x 1/3)))

1.0ms

-inf

((/ (* (* (- x 1/3) (- x 1/3)) (+ (* x x) 1/9)) (* (+ (* x x) 1/9) (- x 1/3))) (* (* (- x 1/3) (- x 1/3)) (+ (* x x) 1/9)) (* (- x 1/3) (- x 1/3)) (- x 1/3) (* (+ (* x x) 1/9) (- x 1/3)))

0.0ms

inf

((/ (* (* (- x 1/3) (- x 1/3)) (+ (* x x) 1/9)) (* (+ (* x x) 1/9) (- x 1/3))) (* (* (- x 1/3) (- x 1/3)) (+ (* x x) 1/9)) (* (- x 1/3) (- x 1/3)) (- x 1/3) (* (+ (* x x) 1/9) (- x 1/3)))

simplify142.0ms (4.5%)

Memory

-15.7MiB live, 221.5MiB allocated; 71ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	302
1	347	298
2	928	282
3	3382	279
0	8283	268

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

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

rewrite117.0ms (3.7%)

Memory

17.7MiB live, 254.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	16	45
1	74	45
2	629	31
0	8630	31

Stop Event

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

Counts

5 → 546

Calls

Call 1

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

eval82.0ms (2.6%)

Memory: 22.2MiB live, 163.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 20 992 to 2 000 computations (90.5% saved)

prune28.0ms (0.9%)

Memory

-1.0MiB live, 43.2MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	678	0	678
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	678	3	681

Accuracy

100.0%

Counts

681 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

57.1%

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

✓

100.0%

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

✓

45.1%

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

Compiler

Compiled 100 to 46 computations (54% saved)

regimes7.0ms (0.2%)

Memory

-33.0MiB live, 12.5MiB allocated; 5ms collecting garbage

Counts

5 → 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)))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.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 (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)))))

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

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

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
45.1%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
45.1%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify10.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

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))

derivations113.0ms (3.6%)

Memory

-3.8MiB live, 136.1MiB allocated; 43ms collecting garbage

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

Compiler

Compiled 10 to 9 computations (10% saved)

preprocess25.0ms (0.8%)

Memory: -15.0MiB live, 30.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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%)

sample1.1s (34.9%)

explain100.0ms (3.2%)

preprocess13.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.7%)

series1.0ms (0%)

simplify12.0ms (0.4%)

rewrite184.0ms (5.8%)

eval38.0ms (1.2%)

prune3.0ms (0.1%)

simplify286.0ms (9%)

localize135.0ms (4.3%)

series4.0ms (0.1%)

simplify123.0ms (3.9%)

rewrite211.0ms (6.6%)

eval176.0ms (5.5%)

prune17.0ms (0.5%)

simplify139.0ms (4.4%)

localize67.0ms (2.1%)

series2.0ms (0.1%)

simplify142.0ms (4.5%)

rewrite117.0ms (3.7%)

eval82.0ms (2.6%)

prune28.0ms (0.9%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

simplify10.0ms (0.3%)

derivations113.0ms (3.6%)

preprocess25.0ms (0.8%)

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