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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample684.0ms (21.8%)

Memory

25.3MiB live, 964.6MiB allocated

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-div: 87.0ms (46.9% of total)

ival-sub: 82.0ms (44.2% of total)

exact: 7.0ms (3.8% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain141.0ms (4.5%)

Memory

14.9MiB live, 151.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

80.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-sub: 64.0ms (92.4% of total)

ival-div: 4.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.5%)

Memory

-6.1MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.5%)

Memory

-7.6MiB live, 39.2MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (39.8% of total)

ival-sub: 2.0ms (39.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

simplify12.0ms (0.4%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 4

Calls

Call 1

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

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

rewrite195.0ms (6.2%)

Memory

2.4MiB live, 286.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 141

Calls

Call 1

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

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

eval19.0ms (0.6%)

Memory: 1.2MiB live, 44.3MiB allocated
Compiler: Compiled 4 958 to 452 computations (90.9% saved)

prune7.0ms (0.2%)

Memory

-28.8MiB live, 16.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

145 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
▶	100.0%	(-.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))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
▶	48.3%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 90 to 72 computations (20% saved)

simplify9.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	34	95
1	45	95
2	62	95
3	90	95
4	124	95
5	151	95
6	161	95
7	170	95
8	178	95
9	185	95
10	189	95
0	189	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (4.2%)

Memory

1.9MiB live, 106.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(-.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))))
accuracy	0.0703125	(*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))))
accuracy	0.1640625	(/.f64 x (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.1796875	(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 x #s(literal 1/3 binary64))
accuracy	0.0078125	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy	15.330077757505231	(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.0	(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
accuracy	0.0	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.14453125	(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
accuracy	0.37109375	(/.f64 #s(literal -1/3 binary64) x)
accuracy	33.11134714365559	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))

Samples

87.0ms	220×	0	valid
24.0ms	19×	2	valid
7.0ms	17×	1	valid

Compiler

Compiled 95 to 23 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 61.0ms (68.3% of total)

const: 12.0ms (13.4% of total)

ival-sub: 7.0ms (7.8% of total)

ival-mult: 5.0ms (5.6% of total)

adjust: 2.0ms (2.2% of total)

ival-add: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.5%)

Memory

-27.8MiB live, 18.7MiB allocated

Counts

14 → 42

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ x 1/3) (- (* x (/ x (+ x 1/3))) (/ 1/9 (+ x 1/3))) (* x (/ x (+ x 1/3))) (/ x (+ x 1/3)) (/ 1/9 (+ x 1/3)))
2.0ms	x	@	inf	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ x 1/3) (- (* x (/ x (+ x 1/3))) (/ 1/9 (+ x 1/3))) (* x (/ x (+ x 1/3))) (/ x (+ x 1/3)) (/ 1/9 (+ x 1/3)))
2.0ms	x	@	0	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ x 1/3) (- (* x (/ x (+ x 1/3))) (/ 1/9 (+ x 1/3))) (* x (/ x (+ x 1/3))) (/ x (+ x 1/3)) (/ 1/9 (+ x 1/3)))

Time

Variable

Point

Expression

11.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify132.0ms (4.2%)

Memory

35.1MiB live, 176.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	357
1	381	336
2	897	327
3	2959	325
0	8317	310

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

rewrite167.0ms (5.3%)

Memory

-1.0MiB live, 276.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	84
0	34	68
1	109	68
2	687	68
0	8664	68

Stop Event

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

Counts

14 → 562

Calls

Call 1

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

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

eval163.0ms (5.2%)

Memory: -3.2MiB live, 182.5MiB allocated
Compiler: Compiled 21 446 to 1 958 computations (90.9% saved)

prune37.0ms (1.2%)

Memory

0.9MiB live, 47.7MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	630	2	632
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	632	5	637

Accuracy

100.0%

Counts

637 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) x (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
▶	76.0%	(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
✓	48.3%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 49 to 38 computations (22.4% saved)

simplify8.0ms (0.3%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	22	62
1	32	58
2	61	58
3	123	58
4	175	58
5	186	58
6	192	58
7	204	58
8	219	58
9	224	58
0	224	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize461.0ms (14.7%)

Memory

-3.4MiB live, 197.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1/3 binary64) x)
accuracy	0.015625	(fma.f64 (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) x (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
accuracy	0.1640625	(/.f64 x (+.f64 #s(literal 1/3 binary64) x))
accuracy	0.1796875	(/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))
accuracy	0.0	#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	0.00390625	(+.f64 x #s(literal 1/3 binary64))
accuracy	0.0078125	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	15.330077757505231	(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))

Samples

357.0ms	19×	2	valid
91.0ms	220×	0	valid
5.0ms	17×	1	valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-mult: 295.0ms (84.8% of total)

const: 37.0ms (10.6% of total)

ival-div: 6.0ms (1.7% of total)

ival-add: 6.0ms (1.7% of total)

adjust: 2.0ms (0.6% of total)

ival-sub: 1.0ms (0.3% of total)

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

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

series20.0ms (0.6%)

Memory

-42.4MiB live, 12.8MiB allocated

Counts

8 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify135.0ms (4.3%)

Memory

39.6MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	238
1	335	230
2	847	218
3	2875	214
0	8246	205

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite257.0ms (8.2%)

Memory

-20.9MiB live, 202.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	22	56
1	98	52
2	693	47
0	8777	47

Stop Event

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

Counts

8 → 336

Calls

Call 1

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

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

eval90.0ms (2.9%)

Memory: 32.5MiB live, 137.5MiB allocated
Compiler: Compiled 9 576 to 1 030 computations (89.2% saved)

prune80.0ms (2.5%)

Memory

-19.5MiB live, 26.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	313	0	313
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	313	5	318

Accuracy

100.0%

Counts

318 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) x (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
✓	76.0%	(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
✓	48.3%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 125 to 76 computations (39.2% saved)

regimes5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	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)

regimes4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

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

regimes23.0ms (0.7%)

Memory

-39.1MiB live, 8.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
1.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
48.3%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
48.3%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify10.0ms (0.3%)

Memory

38.1MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	18	20
2	22	20
3	23	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness268.0ms (8.6%)

Memory

-22.6MiB live, 324.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15
0	23	84
0	34	68
1	109	68
2	687	68
0	8664	68
0	5	4
0	8	4
1	25	4
2	110	4
3	815	4
0	8726	4

Stop Event

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

preprocess23.0ms (0.7%)

Memory: 11.5MiB live, 55.5MiB allocated
Compiler: Compiled 54 to 38 computations (29.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	23	99
0	34	95
1	45	95
2	62	95
3	90	95
4	124	95
5	151	95
6	161	95
7	170	95
8	178	95
9	185	95
10	189	95
0	189	95

Iter	Nodes	Cost
0	14	62
0	22	62
1	32	58
2	61	58
3	123	58
4	175	58
5	186	58
6	192	58
7	204	58
8	219	58
9	224	58
0	224	58

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

Iter	Nodes	Cost
0	23	99
0	34	95
1	45	95
2	62	95
3	90	95
4	124	95
5	151	95
6	161	95
7	170	95
8	178	95
9	185	95
10	189	95
0	189	95

Iter	Nodes	Cost
0	14	62
0	22	62
1	32	58
2	61	58
3	123	58
4	175	58
5	186	58
6	192	58
7	204	58
8	219	58
9	224	58
0	224	58

start0.0ms (0%)

analyze0.0ms (0%)

sample684.0ms (21.8%)

explain141.0ms (4.5%)

preprocess15.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize14.0ms (0.5%)

series1.0ms (0%)

simplify12.0ms (0.4%)

rewrite195.0ms (6.2%)

eval19.0ms (0.6%)

prune7.0ms (0.2%)

simplify9.0ms (0.3%)

localize132.0ms (4.2%)

series17.0ms (0.5%)

simplify132.0ms (4.2%)

rewrite167.0ms (5.3%)

eval163.0ms (5.2%)

prune37.0ms (1.2%)

simplify8.0ms (0.3%)

localize461.0ms (14.7%)

series20.0ms (0.6%)

simplify135.0ms (4.3%)

rewrite257.0ms (8.2%)

eval90.0ms (2.9%)

prune80.0ms (2.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes23.0ms (0.7%)

simplify10.0ms (0.3%)

soundness268.0ms (8.6%)

preprocess23.0ms (0.7%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	23	99
0	34	95
1	45	95
2	62	95
3	90	95
4	124	95
5	151	95
6	161	95
7	170	95
8	178	95
9	185	95
10	189	95
0	189	95

Iter	Nodes	Cost
0	14	62
0	22	62
1	32	58
2	61	58
3	123	58
4	175	58
5	186	58
6	192	58
7	204	58
8	219	58
9	224	58
0	224	58