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

0.1MiB live, 0.1MiB 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)

sample1.4s (25%)

Memory

27.9MiB live, 529.2MiB allocated

Samples

713.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-div: 432.0ms (89.2% of total)

ival-sub: 37.0ms (7.6% of total)

exact: 7.0ms (1.4% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain69.0ms (1.2%)

Memory

8.4MiB live, 83.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-div: 4.0ms (53.2% of total)

ival-sub: 2.0ms (26.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess12.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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)

localize21.0ms (0.4%)

Memory

-53.6MiB live, 7.2MiB 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

15.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (55.9% of total)

ival-sub: 1.0ms (27.9% 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

0.7MiB live, 0.7MiB 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 (0.2%)

Memory

8.6MiB live, 8.6MiB 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)

rewrite183.0ms (3.3%)

Memory

4.2MiB live, 231.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 141

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 24.3MiB live, 24.3MiB allocated
Compiler: Compiled 4 958 to 452 computations (90.9% saved)

prune3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	4	145

Accuracy

100.0%

Counts

145 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))) (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
▶	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))
▶	49.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify245.0ms (4.4%)

Memory

-21.7MiB live, 257.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	114
0	36	114
1	69	114
2	252	96
3	1067	93
4	3626	93
0	8410	91

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (1.6%)

Memory

-20.2MiB live, 145.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
accuracy	0.109375	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
accuracy	0.1796875	(*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	23.924016906839917	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))) (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
accuracy	0.01171875	(-.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	0.1640625	(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
accuracy	0.36328125	(/.f64 #s(literal -1/3 binary64) x)
accuracy	32.483556078213525	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

67.0ms

256×

valid

Compiler

Compiled 228 to 48 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

const: 29.0ms (55.6% of total)

ival-mult: 9.0ms (17.2% of total)

ival-div: 6.0ms (11.5% of total)

ival-sub: 4.0ms (7.7% of total)

ival-add: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

11 → 31

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify296.0ms (5.3%)

Memory

-5.8MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	210
1	262	202
2	884	193
3	3183	189
0	8240	182

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

rewrite234.0ms (4.2%)

Memory

28.4MiB live, 226.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	92
0	36	72
1	130	72
2	993	65
0	9349	63

Stop Event

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

Counts

11 → 863

Calls

Call 1

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

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

eval475.0ms (8.6%)

Memory: -25.0MiB live, 123.8MiB allocated
Compiler: Compiled 22 937 to 2 189 computations (90.5% saved)

prune10.0ms (0.2%)

Memory

34.1MiB live, 34.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	698	1	699
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	699	4	703

Accuracy

100.0%

Counts

703 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
✓	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))
✓	49.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify469.0ms (8.5%)

Memory

-28.7MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (neg.f64 x) #s(literal -1/3 binary64))
cost-diff	1	(*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
cost-diff	1	(*.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff	8	(/.f64 (.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	21	56
1	51	56
2	194	47
3	853	44
4	3035	44
0	8410	44

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

-15.1MiB live, 112.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 #s(literal -1/3 binary64) (neg.f64 x))
accuracy	0.03515625	(*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
accuracy	0.05078125	(*.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	23.924016906839917	(/.f64 (.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))

Samples

52.0ms

256×

valid

Compiler

Compiled 117 to 27 computations (76.9% saved)

Precisions

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

const: 32.0ms (71.9% of total)

ival-add: 5.0ms (11.2% of total)

ival-mult: 5.0ms (11.2% of total)

ival-div: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

series2.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

5 → 24

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify885.0ms (16%)

Memory

-3.6MiB live, 192.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	181
1	245	173
2	871	158
3	3223	156
0	8111	151

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite189.0ms (3.4%)

Memory

-1.1MiB live, 322.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
0	21	43
1	103	43
2	943	28
0	10141	28

Stop Event

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

Counts

5 → 802

Calls

Call 1

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

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

eval97.0ms (1.8%)

Memory: 11.5MiB live, 159.0MiB allocated
Compiler: Compiled 26 136 to 2 416 computations (90.8% saved)

prune13.0ms (0.2%)

Memory

-0.1MiB live, 38.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	785	1	786
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	786	4	790

Accuracy

100.0%

Counts

790 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
✓	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))
✓	49.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify117.0ms (2.1%)

Memory

19.9MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
cost-diff	0	(+.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff	8	(/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	41
0	14	41
1	44	35
2	193	33
3	999	33
4	5198	33
0	8262	33

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.6%)

Memory

15.8MiB live, 53.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 #s(literal 1/3 binary64) x)
accuracy	0.03515625	(*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))
accuracy	0.05078125	(*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	23.924016906839917	(/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))

Samples

25.0ms

256×

valid

Compiler

Compiled 87 to 19 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 10.0ms (53.9% of total)

ival-mult: 4.0ms (21.6% of total)

ival-add: 3.0ms (16.2% of total)

ival-div: 1.0ms (5.4% of total)

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

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

series3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

5 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify134.0ms (2.4%)

Memory

-36.6MiB live, 121.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	174
1	226	168
2	691	160
3	2860	154
0	8201	146

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite191.0ms (3.4%)

Memory

12.3MiB live, 263.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	14	34
1	78	30
2	687	24
0	8798	24

Stop Event

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

Counts

5 → 875

Calls

Call 1

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

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

eval125.0ms (2.3%)

Memory: 11.9MiB live, 200.1MiB allocated
Compiler: Compiled 29 577 to 3 052 computations (89.7% saved)

prune15.0ms (0.3%)

Memory

14.4MiB live, 52.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 010	1	1 011
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	1 011	4	1 015

Accuracy

100.0%

Counts

1 015 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.6%	(/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #s(approx ( (+ 1/3 x) (+ 1/3 x)) (fma.f64 (+.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 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))
✓	49.2%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 154 to 81 computations (47.4% saved)

regimes8.0ms (0.1%)

Memory

-38.4MiB live, 9.8MiB 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 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #s(approx ( (+ 1/3 x) (+ 1/3 x)) (fma.f64 (+.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))) (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))

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

Calls

2 calls:

5.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms	x

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify9.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness105.0ms (1.9%)

Memory

-7.4MiB live, 68.1MiB 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
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess15.0ms (0.3%)

Memory: 22.4MiB live, 22.4MiB allocated
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (25%)

explain69.0ms (1.2%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.4%)

series1.0ms (0%)

simplify12.0ms (0.2%)

rewrite183.0ms (3.3%)

eval16.0ms (0.3%)

prune3.0ms (0.1%)

simplify245.0ms (4.4%)

localize91.0ms (1.6%)

series7.0ms (0.1%)

simplify296.0ms (5.3%)

rewrite234.0ms (4.2%)

eval475.0ms (8.6%)

prune10.0ms (0.2%)

simplify469.0ms (8.5%)

localize64.0ms (1.2%)

series2.0ms (0%)

simplify885.0ms (16%)

rewrite189.0ms (3.4%)

eval97.0ms (1.8%)

prune13.0ms (0.2%)

simplify117.0ms (2.1%)

localize32.0ms (0.6%)

series3.0ms (0.1%)

simplify134.0ms (2.4%)

rewrite191.0ms (3.4%)

eval125.0ms (2.3%)

prune15.0ms (0.3%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

simplify9.0ms (0.2%)

soundness105.0ms (1.9%)

preprocess15.0ms (0.3%)

end0.0ms (0%)

Profiling

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