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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample665.0ms (15.2%)

Memory

50.7MiB live, 1 022.0MiB allocated

Samples

327.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-div: 71.0ms (48.1% of total)

ival-sub: 59.0ms (40% of total)

exact: 8.0ms (5.4% of total)

ival-true: 6.0ms (4.1% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain92.0ms (2.1%)

Memory

-29.8MiB live, 148.0MiB 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

63.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 31.0ms (90.6% of total)

ival-sub: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.5%)

Memory

13.8MiB live, 52.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	39	6
3	72	6
4	114	6
5	125	6
0	5	3
0	8	3
1	13	3
2	14	3
0	14	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify7.0ms (0.2%)

Memory

-27.9MiB live, 9.1MiB 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	704	(/.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	13	7
2	14	7
0	14	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)

localize18.0ms (0.4%)

Memory

-3.9MiB live, 40.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

10.0ms

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 (53.2% of total)

ival-sub: 1.0ms (26.6% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

simplify18.0ms (0.4%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	32	11
2	76	11
3	185	11
4	512	11
5	598	11
6	636	11
7	659	11
8	661	11
0	661	11

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 x #s(literal 1/3 binary64))

rewrite191.0ms (4.4%)

Memory

17.7MiB live, 242.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	28	4
2	138	4
3	1123	4
0	8587	4

Stop Event

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

Counts

2 → 256

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 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.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 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (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)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 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)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (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 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 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 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 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 (pow.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))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 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 (-.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))) #s(literal -1 binary64)) (pow.f64 (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))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 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 (pow.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 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 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (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))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (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 (/.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 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (pow.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (pow.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))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
(.f64 (.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(.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 #s(literal -1/3 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))))))
(.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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.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)))) #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)) (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)))))))))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(fma.f64 x (/.f64 (*.f64 x x) (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)))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.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)))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.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)))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #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 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 x #s(literal 1/3 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)) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))))))
(-.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))) (+.f64 (pow.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)))) #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)) (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 (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 (pow.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)))) #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)) (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 (/.f64 (.f64 (.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(-.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)))) (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 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 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 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/19683 binary64) (.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.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)))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 binary64))))) (/.f64 (/.f64 #s(literal -1/729 binary64) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 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)))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 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)))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.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 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.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 (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 #s(literal 0 binary64) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(-.f64 x #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/81 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 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 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 x x (.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (fma.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 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.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 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))))
(+.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)))) (neg.f64 (/.f64 #s(literal 1/27 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 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 #s(literal -1/3 binary64) x)
(+.f64 x #s(literal -1/3 binary64))

eval329.0ms (7.5%)

Memory: -44.4MiB live, 42.7MiB allocated
Compiler: Compiled 6 765 to 674 computations (90% saved)

prune5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	255	3	258
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	3	259

Accuracy

100.0%

Counts

259 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(fma.f64 (*.f64 x x) (/.f64 x (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)))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	49.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Status

Accuracy

Program

▶

69.0%

(fma.f64 (*.f64 x x) (/.f64 x (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)))))

▶

100.0%

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

▶

49.6%

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify176.0ms (4%)

Memory

28.8MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	192	(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	25	69
1	45	62
2	112	60
3	336	60
4	926	60
5	1644	60
6	2864	60
7	4120	60
8	4615	60
9	5657	60
10	7321	60
11	7980	60
0	8067	56

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (3.5%)

Memory

-26.7MiB live, 46.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.21053225392422334	(/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
accuracy	0.26171875	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy	18.543596985637596	(fma.f64 (*.f64 x x) (/.f64 x (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)))))
accuracy	18.70467322047913	(/.f64 x (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
accuracy	0.0078125	(-.f64 x #s(literal 1/3 binary64))
accuracy	32.267055265017824	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

83.0ms	246×	0	valid
2.0ms	5×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 154 to 37 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

const: 59.0ms (77.2% of total)

ival-div: 6.0ms (7.9% of total)

ival-mult: 5.0ms (6.5% of total)

ival-sub: 3.0ms (3.9% of total)

ival-add: 3.0ms (3.9% of total)

adjust: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

8 → 32

Calls

Call 1

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

Outputs
-1/3
(- x 1/3)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- x (/ 1 3)) (- x 1/3) (+ (* x x) (+ (* x 1/3) 1/9)) (* x x) (/ x (+ (* x x) (+ (* x 1/3) 1/9))) (+ (* x 1/3) 1/9) (+ (* (* x x) (/ x (+ (* x x) (+ (* x 1/3) 1/9)))) (/ -1/27 (+ (* x x) (+ (* x 1/3) 1/9)))) (/ -1/27 (+ (* x x) (+ (* x 1/3) 1/9))))
2.0ms	x	@	-inf	((- x (/ 1 3)) (- x 1/3) (+ (* x x) (+ (* x 1/3) 1/9)) (* x x) (/ x (+ (* x x) (+ (* x 1/3) 1/9))) (+ (* x 1/3) 1/9) (+ (* (* x x) (/ x (+ (* x x) (+ (* x 1/3) 1/9)))) (/ -1/27 (+ (* x x) (+ (* x 1/3) 1/9)))) (/ -1/27 (+ (* x x) (+ (* x 1/3) 1/9))))
2.0ms	x	@	0	((- x (/ 1 3)) (- x 1/3) (+ (* x x) (+ (* x 1/3) 1/9)) (* x x) (/ x (+ (* x x) (+ (* x 1/3) 1/9))) (+ (* x 1/3) 1/9) (+ (* (* x x) (/ x (+ (* x x) (+ (* x 1/3) 1/9)))) (/ -1/27 (+ (* x x) (+ (* x 1/3) 1/9)))) (/ -1/27 (+ (* x x) (+ (* x 1/3) 1/9))))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify157.0ms (3.6%)

Memory

-7.0MiB live, 217.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	292
1	387	288
2	1133	282
3	4520	276
0	8262	263

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

Inputs
-1/3
(- x 1/3)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x) #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (.f64 x x))) x)) (.f64 x x))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (.f64 x x))) x)) (.f64 x x))

rewrite825.0ms (18.9%)

Memory

9.3MiB live, 239.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	25	43
1	108	43
2	951	43
0	8415	40

Stop Event

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

Counts

8 → 680

Calls

Call 1

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

Outputs
#s(approx (- x (/ 1 3)) #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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.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))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal -1/3 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))
(.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(.f64 (fma.f64 (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 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 (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 -27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)))))
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(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -2 binary64))) (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -2 binary64))) (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 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 -1/27 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)) #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 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -2 binary64))) (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 x x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (.f64 (neg.f64 x) (.f64 (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 x #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1 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))) #s(literal 1 binary64))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(pow.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) x)) #s(literal -1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64))))
(/.f64 #s(literal 1/27 binary64) (neg.f64 (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))) #s(literal 1 binary64))
(/.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 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(neg.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 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))

eval123.0ms (2.8%)

Memory: -2.1MiB live, 190.5MiB allocated
Compiler: Compiled 23 224 to 1 939 computations (91.7% saved)

prune44.0ms (1%)

Memory

-9.7MiB live, 81.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	635	1	636
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	636	3	639

Accuracy

100.0%

Counts

639 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

51.7%

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

✓

100.0%

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

✓

49.6%

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify141.0ms (3.2%)

Memory

-18.4MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ x (+ (* x x) (+ (* x 1/3) 1/9))) (*.f64 #s(literal 9 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x x) (+ (* x 1/3) 1/9))) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
cost-diff	192	(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	70
0	23	70
1	38	70
2	98	70
3	298	70
4	880	70
5	1370	70
6	1739	70
7	2895	70
8	3591	70
9	4708	70
10	6498	70
11	7223	70
12	7866	70
0	8092	65

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (1.1%)

Memory

3.8MiB live, 124.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21053225392422334	(/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
accuracy	0.26171875	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy	18.543596985637596	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x x) (+ (* x 1/3) 1/9))) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
accuracy	32.198346936670625	#s(approx (/ x (+ (* x x) (+ (* x 1/3) 1/9))) (*.f64 #s(literal 9 binary64) x))

Samples

32.0ms	246×	0	valid
2.0ms	5×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 150 to 35 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

const: 10.0ms (41.5% of total)

ival-mult: 7.0ms (29.1% of total)

ival-add: 4.0ms (16.6% of total)

ival-div: 3.0ms (12.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

6 → 32

Calls

Call 1

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

Outputs
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/3
(- x 1/3)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify119.0ms (2.7%)

Memory

9.7MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	292
1	387	288
2	1133	282
3	4517	276
0	8263	263

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

Inputs
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/3
(- x 1/3)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Outputs
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (.f64 x x))) x)) (.f64 x x))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (.f64 x x))) x)) (.f64 x x))

rewrite193.0ms (4.4%)

Memory

11.8MiB live, 212.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	23	62
1	92	62
2	807	62
0	8522	57

Stop Event

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

Counts

6 → 314

Calls

Call 1

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

Outputs
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #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)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x)))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #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)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x x)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(/.f64 (-.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 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (.f64 x x))))))
(/.f64 (+.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 (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 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 #s(literal 1 binary64) (/.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) (/.f64 #s(literal -1 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))) #s(literal 1 binary64))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/27 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(/.f64 #s(literal 1/27 binary64) (neg.f64 (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))) #s(literal 1 binary64))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 x x) (.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
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(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 x x)) (*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))))) (.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))))))

eval72.0ms (1.6%)

Memory: -27.1MiB live, 89.8MiB allocated
Compiler: Compiled 17 440 to 1 262 computations (92.8% saved)

prune5.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	336	1	337
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	337	3	340

Accuracy

100.0%

Counts

340 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

51.6%

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

✓

100.0%

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

✓

49.6%

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

Compiler

Compiled 45 to 29 computations (35.6% saved)

simplify141.0ms (3.2%)

Memory

-19.3MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	24	90
1	40	85
2	100	85
3	297	85
4	867	85
5	1362	85
6	1726	85
7	2886	85
8	3580	85
9	4707	85
10	6509	85
11	7243	85
12	7892	85
0	8118	80

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (3.5%)

Memory

0.3MiB live, 85.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
accuracy	18.543596985637596	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x x) (+ (* x 1/3) 1/9))) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ ( x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
accuracy	31.880714691782366	#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
accuracy	32.198346936670625	#s(approx (/ x (+ (* x x) (+ (* x 1/3) 1/9))) (*.f64 #s(literal 9 binary64) x))

Samples

138.0ms	246×	0	valid
2.0ms	5×	2	valid
2.0ms	5×	1	valid

Compiler

Compiled 171 to 37 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-add: 106.0ms (79.7% of total)

const: 14.0ms (10.5% of total)

ival-mult: 8.0ms (6% of total)

ival-div: 3.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

6 → 24

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify156.0ms (3.6%)

Memory

13.6MiB live, 202.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	172
1	265	172
2	729	168
3	2525	164
4	7813	164
0	8586	154

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite224.0ms (5.1%)

Memory

1.0MiB live, 208.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	24	70
1	109	66
2	817	66
0	8765	62

Stop Event

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

Counts

6 → 171

Calls

Call 1

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

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

eval68.0ms (1.6%)

Memory: -19.3MiB live, 63.3MiB allocated
Compiler: Compiled 13 254 to 660 computations (95% saved)

prune5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	186	3	189

Accuracy

100.0%

Counts

189 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

51.6%

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

✓

100.0%

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

✓

49.6%

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

Compiler

Compiled 145 to 65 computations (55.2% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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
49.6%	1	`x`
49.6%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify51.0ms (1.2%)

Memory

-20.6MiB live, 55.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	14	8
2	18	8
3	23	8
4	37	8
5	56	8
6	63	8
7	72	8
8	81	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))

soundness124.0ms (2.8%)

Memory

4.1MiB live, 119.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	32	11
2	76	11
3	185	11
4	512	11
5	598	11
6	636	11
7	659	11
8	661	11
0	661	11
0	5	4
0	8	4
1	28	4
2	138	4
3	1123	4
0	8587	4

Stop Event

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess22.0ms (0.5%)

Memory: 16.3MiB live, 53.7MiB allocated
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample665.0ms (15.2%)

explain92.0ms (2.1%)

preprocess24.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.2%)

localize18.0ms (0.4%)

series1.0ms (0%)

simplify18.0ms (0.4%)

rewrite191.0ms (4.4%)

eval329.0ms (7.5%)

prune5.0ms (0.1%)

simplify176.0ms (4%)

localize152.0ms (3.5%)

series6.0ms (0.1%)

simplify157.0ms (3.6%)

rewrite825.0ms (18.9%)

eval123.0ms (2.8%)

prune44.0ms (1%)

simplify141.0ms (3.2%)

localize47.0ms (1.1%)

series3.0ms (0.1%)

simplify119.0ms (2.7%)

rewrite193.0ms (4.4%)

eval72.0ms (1.6%)

prune5.0ms (0.1%)

simplify141.0ms (3.2%)

localize152.0ms (3.5%)

series4.0ms (0.1%)

simplify156.0ms (3.6%)

rewrite224.0ms (5.1%)

eval68.0ms (1.6%)

prune5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify51.0ms (1.2%)

soundness124.0ms (2.8%)

preprocess22.0ms (0.5%)

end0.0ms (0%)

Profiling