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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample744.0ms (17%)

Memory

30.0MiB live, 859.2MiB allocated; 195ms collecting garbage

Samples

422.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-div: 114.0ms (50.8% of total)

ival-sub: 91.0ms (40.6% of total)

exact: 8.0ms (3.6% of total)

ival-true: 6.0ms (2.7% of total)

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

adjust: 2.0ms (0.9% of total)

Bogosity

explain121.0ms (2.8%)

Memory

-9.5MiB live, 183.5MiB allocated; 36ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 25.0ms (86.9% of total)

ival-sub: 3.0ms (10.4% of total)

exact: 1.0ms (3.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess13.0ms (0.3%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify6.0ms (0.1%)

Memory

-36.6MiB live, 8.7MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

41.0MiB live, 41.0MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (50.3% of total)

ival-sub: 1.0ms (25.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

simplify46.0ms (1%)

Memory

-51.3MiB live, 8.6MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 4

Calls

Call 1

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

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

rewrite176.0ms (4%)

Memory

45.5MiB live, 277.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 141

Calls

Call 1

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

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

eval19.0ms (0.4%)

Memory: 11.5MiB live, 55.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 958 to 452 computations (90.9% saved)

prune5.0ms (0.1%)

Memory

-33.0MiB live, 13.5MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

145 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
▶	59.4%	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 49 to 35 computations (28.6% saved)

simplify107.0ms (2.5%)

Memory

2.9MiB live, 193.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
cost-diff	1	(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
cost-diff	5	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
cost-diff	7	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
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	28	135
0	44	135
1	80	125
2	237	122
3	848	120
4	2723	118
5	7074	118
0	8046	116

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (3.6%)

Memory

31.2MiB live, 267.8MiB allocated; 71ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
accuracy	0.1796875	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy	20.250147790052427	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
accuracy	0.03515625	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.50390625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy	25.2086952836347	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
accuracy	0.0078125	(-.f64 x #s(literal 1/3 binary64))
accuracy	31.296285481148185	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

126.0ms

256×

valid

Compiler

Compiled 146 to 30 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

const: 72.0ms (64.8% of total)

ival-pow: 13.0ms (11.7% of total)

ival-mult: 8.0ms (7.2% of total)

ival-div: 6.0ms (5.4% of total)

ival-sub: 6.0ms (5.4% of total)

ival-add: 5.0ms (4.5% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series17.0ms (0.4%)

Memory

-27.2MiB live, 17.7MiB allocated; 16ms collecting garbage

Counts

12 → 48

Calls

Call 1

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

Outputs
-1/3
(- x 1/3)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/9
(- (pow x 2) 1/9)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
(pow x 3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (* (+ (* x x) 1/9) (+ x 1/3)) (+ (* x 1/3) 1/9))
3.0ms	x	@	-inf	((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (* (+ (* x x) 1/9) (+ x 1/3)) (+ (* x 1/3) 1/9))
2.0ms	x	@	0	((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (* (+ (* x x) 1/9) (+ x 1/3)) (+ (* x 1/3) 1/9))

Time

Variable

Point

Expression

12.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify376.0ms (8.6%)

Memory

-0.2MiB live, 184.6MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	415
1	431	408
2	1397	391
3	5986	391
0	8449	378

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
-1/3
(- x 1/3)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/9
(- (pow x 2) 1/9)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
(pow x 3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (.f64 x x) #s(literal 1/729 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 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))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(-.f64 (*.f64 x x) #s(literal 1/9 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)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 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 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) x) #s(literal 1 binary64)))

rewrite258.0ms (5.9%)

Memory

29.5MiB live, 263.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	104
0	44	71
1	178	68
2	1285	66
0	8630	65

Stop Event

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

Counts

12 → 838

Calls

Call 1

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

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

eval153.0ms (3.5%)

Memory: 7.8MiB live, 247.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 26 480 to 2 617 computations (90.1% saved)

prune173.0ms (4%)

Memory

-40.2MiB live, 74.5MiB allocated; 118ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	678	2	680
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	680	4	684

Accuracy

100.0%

Counts

684 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
▶	50.7%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 53 to 42 computations (20.8% saved)

simplify239.0ms (5.5%)

Memory

20.6MiB live, 239.9MiB allocated; 65ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 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	#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
cost-diff	0	(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
cost-diff	1	(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
cost-diff	5	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	119
0	39	119
1	65	119
2	183	117
3	633	113
4	1868	109
5	4010	109
6	5300	109
7	6883	109
0	8093	107

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (2.7%)

Memory

4.7MiB live, 250.8MiB allocated; 26ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
accuracy	0.1796875	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy	20.250147790052427	(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
accuracy	31.22634018863982	#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.50390625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy	25.2086952836347	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
accuracy	30.815266084296017	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))

Samples

85.0ms

256×

valid

Compiler

Compiled 122 to 27 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

const: 38.0ms (51.7% of total)

ival-mult: 12.0ms (16.3% of total)

ival-pow: 8.0ms (10.9% of total)

ival-add: 7.0ms (9.5% of total)

ival-div: 4.0ms (5.4% of total)

ival-sub: 4.0ms (5.4% 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

22.9MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

9 → 48

Calls

Call 1

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

Outputs
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/9
(- (pow x 2) 1/9)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify205.0ms (4.7%)

Memory

-43.2MiB live, 297.7MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	415
1	431	408
2	1396	391
3	5995	391
0	8453	378

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/9
(- (pow x 2) 1/9)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Outputs
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (.f64 x x) #s(literal 1/729 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 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))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(-.f64 (*.f64 x x) #s(literal 1/9 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)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 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))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) x) #s(literal 1 binary64)))

rewrite299.0ms (6.9%)

Memory

8.6MiB live, 331.3MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	101
0	39	101
1	159	101
2	1144	91
0	8637	89

Stop Event

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

Counts

9 → 380

Calls

Call 1

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

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

eval68.0ms (1.6%)

Memory: 38.4MiB live, 127.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 18 233 to 1 762 computations (90.3% saved)

prune15.0ms (0.3%)

Memory

-22.6MiB live, 29.9MiB allocated; 18ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	420	2	422
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	422	4	426

Accuracy

100.0%

Counts

426 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 #s(approx (- (pow x 3) 1/27) #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))))
▶	50.3%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 63 to 50 computations (20.6% saved)

simplify151.0ms (3.5%)

Memory

19.2MiB live, 150.5MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
cost-diff	0	#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
cost-diff	0	#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
cost-diff	0	(/.f64 #s(approx (- (pow x 3) 1/27) #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))))
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	135
0	40	133
1	65	131
2	140	131
3	388	131
4	849	131
5	1392	131
6	1907	131
7	2471	131
8	2803	131
9	3113	131
10	3338	131
11	3501	131
12	3598	131
13	3665	131
14	3689	131
15	3706	131
16	3715	131
17	3715	131
18	3727	131
19	3727	131
0	3727	126

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize225.0ms (5.1%)

Memory

3.2MiB live, 265.7MiB allocated; 49ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
accuracy	20.250147790052427	(/.f64 #s(approx (- (pow x 3) 1/27) #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	30.628085556261485	#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
accuracy	31.22634018863982	#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
accuracy	0.50390625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
accuracy	25.2086952836347	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
accuracy	30.815266084296017	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy	31.33854579352322	#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

Samples

211.0ms

256×

valid

Compiler

Compiled 114 to 29 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

const: 104.0ms (52.3% of total)

ival-div: 51.0ms (25.6% of total)

ival-sub: 18.0ms (9% of total)

ival-mult: 11.0ms (5.5% of total)

ival-pow: 9.0ms (4.5% of total)

ival-add: 6.0ms (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)

series16.0ms (0.4%)

Memory

-37.2MiB live, 9.1MiB allocated; 4ms collecting garbage

Counts

9 → 48

Calls

Call 1

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

Outputs
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/9
(- (pow x 2) 1/9)
-1/27
(- (pow x 3) 1/27)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (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))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

12.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify193.0ms (4.4%)

Memory

40.2MiB live, 223.7MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	415
1	431	408
2	1396	391
3	5980	391
0	8449	378

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/9
(- (pow x 2) 1/9)
-1/27
(- (pow x 3) 1/27)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (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))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (.f64 x x) #s(literal 1/729 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 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))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 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)))))
(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))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) x) #s(literal 1 binary64)))

rewrite158.0ms (3.6%)

Memory

-9.6MiB live, 216.6MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	124
0	40	122
1	172	120
2	1082	120
0	8455	115

Stop Event

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

Counts

9 → 108

Calls

Call 1

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

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

eval18.0ms (0.4%)

Memory: 26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 235 to 672 computations (89.2% saved)

prune79.0ms (1.8%)

Memory

-31.9MiB live, 13.1MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	148	4	152

Accuracy

100.0%

Counts

152 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(/.f64 #s(approx (- (pow x 3) 1/27) #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))))
	50.4%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 248 to 115 computations (53.6% saved)

regimes7.0ms (0.2%)

Memory

12.8MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
51.1%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify20.0ms (0.5%)

Memory

-38.6MiB live, 22.5MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations146.0ms (3.3%)

Memory

12.8MiB live, 145.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 10 to 9 computations (10% saved)

preprocess17.0ms (0.4%)

Memory: 37.3MiB live, 37.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample744.0ms (17%)

explain121.0ms (2.8%)

preprocess13.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize15.0ms (0.3%)

series1.0ms (0%)

simplify46.0ms (1%)

rewrite176.0ms (4%)

eval19.0ms (0.4%)

prune5.0ms (0.1%)

simplify107.0ms (2.5%)

localize157.0ms (3.6%)

series17.0ms (0.4%)

simplify376.0ms (8.6%)

rewrite258.0ms (5.9%)

eval153.0ms (3.5%)

prune173.0ms (4%)

simplify239.0ms (5.5%)

localize119.0ms (2.7%)

series4.0ms (0.1%)

simplify205.0ms (4.7%)

rewrite299.0ms (6.9%)

eval68.0ms (1.6%)

prune15.0ms (0.3%)

simplify151.0ms (3.5%)

localize225.0ms (5.1%)

series16.0ms (0.4%)

simplify193.0ms (4.4%)

rewrite158.0ms (3.6%)

eval18.0ms (0.4%)

prune79.0ms (1.8%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

simplify20.0ms (0.5%)

derivations146.0ms (3.3%)

preprocess17.0ms (0.4%)

end0.0ms (0%)

Profiling

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