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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample856.0ms (11.3%)

Memory

51.0MiB live, 930.4MiB allocated; 198ms collecting garbage

Samples

584.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-div: 178.0ms (75.6% of total)

ival-add: 40.0ms (17% of total)

exact: 7.0ms (3% of total)

ival-true: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain88.0ms (1.2%)

Memory

-18.6MiB live, 91.4MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

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

19.0ms

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 (49.8% of total)

ival-add: 2.0ms (24.9% 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)

preprocess146.0ms (1.9%)

Memory

-26.9MiB live, 18.0MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	15	7
2	17	7
0	5	3
0	8	3
1	11	3
0	11	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 #s(literal 1/3 binary64) x)

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

0.7MiB live, 0.7MiB 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)

simplify3.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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	11	7
0	11	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 #s(literal 1/3 binary64) x)
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize14.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms 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

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (53% of total)

ival-add: 1.0ms (26.5% 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

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Counts

2 → 4

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

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)))

simplify10.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	26	8
2	58	8
3	151	8
4	216	8
5	265	8
6	322	8
7	348	8
8	364	8
0	364	8

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 3

Calls

Call 1

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

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

rewrite186.0ms (2.4%)

Memory

2.5MiB live, 241.3MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	26	4
2	118	4
3	873	4
0	8734	4

Stop Event

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

Counts

2 → 172

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

eval95.0ms (1.2%)

Memory: -12.8MiB live, 137.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 381 to 531 computations (90.1% saved)

prune3.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	3	175

Accuracy

100.0%

Counts

175 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶	100.0%	(+.f64 x #s(literal 1/3 binary64))
▶	55.2%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Status

Accuracy

Program

▶

66.5%

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

▶

100.0%

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

▶

55.2%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify121.0ms (1.6%)

Memory

-22.9MiB live, 199.5MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
0	21	66
1	40	56
2	103	54
3	250	54
4	1469	54
5	4291	54
0	8626	52

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

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

localize4.1s (53.4%)

Memory

-456.7MiB live, 91.1MiB allocated; 4.9s collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy	0.03515625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.046875	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy	20.985671039391455	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.00390625	(+.f64 x #s(literal 1/3 binary64))
accuracy	28.68029456058218	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

4.0s

256×

valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

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

ival-mult: 4.0s (99.3% of total)

const: 19.0ms (0.5% of total)

ival-div: 4.0ms (0.1% of total)

ival-sub: 4.0ms (0.1% of total)

ival-add: 2.0ms (0.1% 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)

series5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

7 → 25

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

simplify182.0ms (2.4%)

Memory

33.5MiB live, 216.1MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	189
1	219	185
2	618	182
3	2501	171
4	7444	171
0	8751	162

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite236.0ms (3.1%)

Memory

-24.3MiB live, 356.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
0	21	35
1	76	35
2	505	35
0	8007	35

Stop Event

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

Counts

7 → 808

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 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
(.f64 (-.f64 (.f64 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 (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 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)))) (fma.f64 x x #s(literal 1/9 binary64)))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 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 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #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 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
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(/.f64 (.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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.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 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(neg.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))

eval122.0ms (1.6%)

Memory: 46.6MiB live, 187.0MiB allocated; 18ms collecting garbage
Compiler: Compiled 28 302 to 2 351 computations (91.7% saved)

prune18.0ms (0.2%)

Memory

6.5MiB live, 48.7MiB allocated; 10ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	867	1	868
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	868	3	871

Accuracy

100.0%

Counts

871 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

55.2%

(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))

✓

100.0%

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

✓

55.2%

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify199.0ms (2.6%)

Memory

-23.9MiB live, 133.8MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
0	18	60
1	29	60
2	59	60
3	109	60
4	156	60
5	234	60
6	486	60
7	1107	60
8	1898	60
9	2506	60
10	3137	60
11	3400	60
12	3529	60
13	3621	60
14	3697	60
15	3760	60
16	3760	60
17	3760	60
0	3760	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.7%)

Memory

-10.4MiB live, 79.0MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy	0.03515625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	20.985671039391455	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	28.405441636229956	#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))

Samples

38.0ms

256×

valid

Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

const: 9.0ms (50.3% of total)

ival-mult: 5.0ms (27.9% of total)

ival-sub: 2.0ms (11.2% of total)

ival-div: 2.0ms (11.2% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

4 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify201.0ms (2.6%)

Memory

-3.7MiB live, 287.7MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	189
1	219	185
2	618	182
3	2506	171
4	7493	171
0	8800	162

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite127.0ms (1.7%)

Memory

4.3MiB live, 192.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	18	42
1	60	42
2	372	42
3	4189	42
0	8491	40

Stop Event

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

Counts

4 → 344

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 x x #s(literal -1/9 binary64)))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))
(.f64 (/.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal -1/9 binary64)))
(.f64 (/.f64 #s(approx ( (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
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(/.f64 (sqrt.f64 (.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)))) (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/387420489 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/387420489 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (fabs.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64))))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.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)) (fma.f64 x x #s(literal -1/9 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1/729 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(fabs.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64)))))
(fabs.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(fabs.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))))
(fabs.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))))
(fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(fabs.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(fabs.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(fabs.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))))
(fabs.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(fabs.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(fabs.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))))
(fabs.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(fabs.f64 (-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))))
(fabs.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(fabs.f64 (fma.f64 x x #s(literal -1/9 binary64)))
(fabs.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))) (log.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(+.f64 (cosh.f64 (log.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)))) (sinh.f64 (log.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)))))

eval44.0ms (0.6%)

Memory: 22.7MiB live, 109.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 14 784 to 1 349 computations (90.9% saved)

prune9.0ms (0.1%)

Memory

-21.0MiB live, 23.3MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	363	1	364
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	364	3	367

Accuracy

100.0%

Counts

367 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

54.6%

(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))

✓

100.0%

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

✓

55.2%

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

Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify153.0ms (2%)

Memory

3.0MiB live, 100.7MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	18	63
1	29	63
2	62	63
3	118	63
4	168	63
5	234	63
6	461	63
7	1002	63
8	1702	63
9	2333	63
10	2963	63
11	3226	63
12	3355	63
13	3447	63
14	3523	63
15	3585	63
16	3585	63
17	3585	63
0	3585	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
#s(literal -1/9 binary64)
x
#s(literal 1/27 binary64)

localize55.0ms (0.7%)

Memory

-5.8MiB live, 83.0MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.171875	(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
accuracy	20.985671039391455	(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
accuracy	28.405441636229956	#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
accuracy	29.36627660704034	#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))

Samples

40.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 20.0ms (62.1% of total)

ival-mult: 7.0ms (21.7% of total)

ival-sub: 2.0ms (6.2% of total)

ival-div: 1.0ms (3.1% of total)

ival-add: 1.0ms (3.1% 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%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

4 → 24

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3)) (+ (* -1/9 x) 1/27))

1.0ms

inf

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3)) (+ (* -1/9 x) 1/27))

0.0ms

((/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3)) (+ (* -1/9 x) 1/27))

simplify143.0ms (1.9%)

Memory

23.3MiB live, 211.7MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	190
1	220	186
2	625	183
3	2531	174
0	8175	168

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite221.0ms (2.9%)

Memory

8.9MiB live, 256.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	18	51
1	72	51
2	472	51
3	4902	51
0	8611	49

Stop Event

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

Counts

4 → 53

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (neg.f64 #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(neg.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))))
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(neg.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/19683 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (-.f64 (.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/81 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) #s(literal 1/19683 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal 1/729 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/531441 binary64)) (.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal 1/729 binary64)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/387420489 binary64)) (.f64 (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/59049 binary64) (.f64 x x) #s(literal 1/531441 binary64))) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/387420489 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/19683 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (fma.f64 #s(literal -1/387420489 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal 1/7625597484987 binary64)) (.f64 (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/387420489 binary64) (.f64 #s(literal -1/14348907 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))
(/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64))) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 #s(literal 1/19683 binary64) (-.f64 (.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64))) (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))) (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (.f64 #s(literal -1/9 binary64) x) (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 #s(literal -1/729 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1/729 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -1/9 binary64) x) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 x #s(literal -1/9 binary64) #s(literal 1/27 binary64))
(fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))
(-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/9 binary64) x))
(+.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(+.f64 (/.f64 (.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(+.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))
(+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/9 binary64) x))

eval22.0ms (0.3%)

Memory: -26.1MiB live, 20.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 044 to 372 computations (87.8% saved)

prune3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	72	3	75

Accuracy

100.0%

Counts

75 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

54.6%

(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))

✓

100.0%

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

✓

55.2%

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

Compiler

Compiled 125 to 59 computations (52.8% saved)

regimes5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

6 → 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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))

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)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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
55.2%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
55.2%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify31.0ms (0.4%)

Memory

-19.7MiB live, 24.7MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	11	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))

derivations158.0ms (2.1%)

Memory

-27.3MiB live, 125.9MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	26	8
2	58	8
3	151	8
4	216	8
5	265	8
6	322	8
7	348	8
8	364	8
0	364	8
0	5	4
0	8	4
1	26	4
2	118	4
3	873	4
0	8734	4

Stop Event

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

Compiler

Compiled 10 to 8 computations (20% saved)

preprocess15.0ms (0.2%)

Memory: 38.5MiB live, 38.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 30 to 26 computations (13.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample856.0ms (11.3%)

explain88.0ms (1.2%)

preprocess146.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize14.0ms (0.2%)

series1.0ms (0%)

simplify10.0ms (0.1%)

rewrite186.0ms (2.4%)

eval95.0ms (1.2%)

prune3.0ms (0%)

simplify121.0ms (1.6%)

localize4.1s (53.4%)

series5.0ms (0.1%)

simplify182.0ms (2.4%)

rewrite236.0ms (3.1%)

eval122.0ms (1.6%)

prune18.0ms (0.2%)

simplify199.0ms (2.6%)

localize52.0ms (0.7%)

series3.0ms (0%)

simplify201.0ms (2.6%)

rewrite127.0ms (1.7%)

eval44.0ms (0.6%)

prune9.0ms (0.1%)

simplify153.0ms (2%)

localize55.0ms (0.7%)

series2.0ms (0%)

simplify143.0ms (1.9%)

rewrite221.0ms (2.9%)

eval22.0ms (0.3%)

prune3.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

simplify31.0ms (0.4%)

derivations158.0ms (2.1%)

preprocess15.0ms (0.2%)

end0.0ms (0%)

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