Metrics for Expression 3, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample1.0s (25%)

Memory

11.0MiB live, 999.7MiB allocated

Samples

705.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-mult: 298.0ms (66.8% of total)

ival-<=: 84.0ms (18.8% of total)

ival-add: 41.0ms (9.2% of total)

ival-and: 11.0ms (2.5% of total)

exact: 9.0ms (2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain111.0ms (2.7%)

Memory

-18.6MiB live, 64.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`
-	-	`(.f64 x (.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`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

37.0ms

512×

valid

Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 25.0ms (89.6% of total)

ival-add: 2.0ms (7.2% of total)

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

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

preprocess17.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-5824	(.f64 x (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	18
0	7	14
1	16	14
2	24	14
3	33	14
4	41	14
5	51	14
6	54	14
0	54	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(.f64 x (.f64 x x))
x
(*.f64 x x)

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
x
(*.f64 x x)

localize30.0ms (0.7%)

Memory

-11.2MiB live, 23.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0234375	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
accuracy	0.0703125	(.f64 x (.f64 x x))

Samples

26.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 17.0ms (77.8% of total)

ival-mult: 5.0ms (22.9% of total)

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

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

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 x x)
(.f64 x (.f64 x x))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x)))
1.0ms	x	@	inf	((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x)))
1.0ms	x	@	0	((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x)))

simplify242.0ms (5.8%)

Memory

-15.2MiB live, 147.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	30	20
2	64	20
3	103	20
4	286	20
5	1326	20
6	2335	20
7	3183	20
8	3904	20
9	4731	20
10	5074	20
11	5337	20
12	5549	20
13	5769	20
14	5852	20
15	6642	20
16	7744	20
0	8032	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))

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

rewrite197.0ms (4.7%)

Memory

1.5MiB live, 226.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Counts

3 → 243

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 x x)
(.f64 x (.f64 x x))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (.f64 (-.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 x x) x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (pow.f64 (-.f64 (.f64 x x) x) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (.f64 (-.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (.f64 (-.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 x (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 (-.f64 (.f64 x x) x) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x x) x)))))))
(.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 (.f64 x x) x)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 x (*.f64 x x))))))
(.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (*.f64 x x) x) x))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) (.f64 (-.f64 (*.f64 x x) x) x))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x x) x) x)) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (-.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 x x x) x)
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (-.f64 (.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (-.f64 (.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (.f64 (-.f64 (.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (.f64 (-.f64 (.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (-.f64 (.f64 x x) x))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 x) (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x x) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x x) x))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 4 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval36.0ms (0.9%)

Memory: 4.6MiB live, 43.3MiB allocated
Compiler: Compiled 6 119 to 690 computations (88.7% saved)

prune54.0ms (1.3%)

Memory

-30.2MiB live, 16.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	254	5	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	5	260

Accuracy

100.0%

Counts

260 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
▶	100.0%	(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
▶	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x))))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	98.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 94 to 50 computations (46.8% saved)

simplify243.0ms (5.8%)

Memory

7.5MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	6080	(/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)))
cost-diff	-5824	(fma.f64 (.f64 x x) x (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	-6144	(*.f64 (fma.f64 x x x) x)
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	98
0	32	85
1	54	85
2	115	85
3	396	80
4	1476	80
5	4948	80
0	8270	80

Stop Event

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

Calls

Call 1

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

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

localize59.0ms (1.4%)

Memory

11.6MiB live, 47.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x))
accuracy	0.09765625	(/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)))
accuracy	0.8369641468492519	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x))))
accuracy	0.0	(*.f64 x x)
accuracy	0.01953125	(fma.f64 (.f64 x x) x (.f64 x x))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.015625	(*.f64 (fma.f64 x x x) x)
accuracy	0.0	(*.f64 x x)
accuracy	1.2604483984584909	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 202 to 39 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38% of total)

ival-add: 6.0ms (28.5% of total)

ival-div: 3.0ms (14.3% of total)

ival-pow: 3.0ms (14.3% of total)

ival-sub: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

12 → 28

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify246.0ms (5.9%)

Memory

2.8MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	211
1	165	201
2	444	193
3	1429	189
4	4419	183
5	7830	183
0	8044	175

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite428.0ms (10.3%)

Memory

-28.2MiB live, 330.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	84
0	32	71
1	120	67
2	841	65
0	8898	65

Stop Event

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

Counts

12 → 1 982

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) x)
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 x x))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 x))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64))) (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x x x) x) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 x x x) x) (+.f64 x (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x x x) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x x x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x x x) x) x) (/.f64 (.f64 x (.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x x x) x) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x x) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) (-.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x x)))
(.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x)))
(.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x (.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 x (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 x x x) x) (.f64 (.f64 x (.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 x x x) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(.f64 (.f64 (fma.f64 x x x) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
(.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 (*.f64 (fma.f64 x x x) x) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) x))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (pow.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) x))
(.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (fma.f64 x x x)))
(.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
(.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64)))
(.f64 x (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(.f64 x (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x x x))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (fma.f64 x x x) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (.f64 x (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 x x x) x) x))
(fma.f64 (.f64 (fma.f64 x x x) x) #s(literal -1 binary64) (.f64 x (*.f64 (fma.f64 x x x) x)))
(fma.f64 (.f64 (fma.f64 x x x) x) #s(literal -1 binary64) (.f64 (*.f64 (fma.f64 x x x) x) x))
(fma.f64 (.f64 (fma.f64 x x x) x) x (.f64 (neg.f64 x) (fma.f64 x x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x x x) x)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 x x x) x) x))
(fma.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (*.f64 (fma.f64 x x x) x)))
(fma.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 (fma.f64 x x x) x) x))
(fma.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (*.f64 (fma.f64 x x x) x)))
(fma.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (*.f64 (fma.f64 x x x) x) x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)))) (.f64 x (*.f64 (fma.f64 x x x) x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 (fma.f64 x x x) x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) x) (.f64 x (*.f64 (fma.f64 x x x) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) x) (.f64 (*.f64 (fma.f64 x x x) x) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 x x x)) (.f64 x (*.f64 (fma.f64 x x x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 x x x)) (.f64 (*.f64 (fma.f64 x x x) x) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 x x x) (neg.f64 x) (.f64 x (.f64 (fma.f64 x x x) x)))
(fma.f64 (fma.f64 x x x) (neg.f64 x) (.f64 (.f64 (fma.f64 x x x) x) x))
(fma.f64 (fma.f64 x x x) (.f64 x x) (.f64 (neg.f64 x) (fma.f64 x x x)))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (.f64 x (*.f64 (fma.f64 x x x) x)))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (.f64 (*.f64 (fma.f64 x x x) x) x))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x x x) (.f64 (neg.f64 x) (fma.f64 x x x)))
(fma.f64 (.f64 x x) (.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 (neg.f64 x) x))
(fma.f64 x (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 (fma.f64 x x x)) (.f64 x (.f64 (fma.f64 x x x) x)))
(fma.f64 x (neg.f64 (fma.f64 x x x)) (.f64 (.f64 (fma.f64 x x x) x) x))
(fma.f64 x (neg.f64 x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 x (.f64 (fma.f64 x x x) x) (.f64 (neg.f64 x) (fma.f64 x x x)))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 x (.f64 (fma.f64 x x x) x)) (*.f64 (neg.f64 x) (fma.f64 x x x)))
(+.f64 (.f64 (.f64 (fma.f64 x x x) x) x) (*.f64 (neg.f64 x) (fma.f64 x x x)))
(+.f64 (.f64 (.f64 x x) (fma.f64 x x x)) (*.f64 (neg.f64 x) (fma.f64 x x x)))
(+.f64 (.f64 (fma.f64 x x x) (.f64 x x)) (*.f64 (neg.f64 x) (fma.f64 x x x)))
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (.f64 (neg.f64 x) (fma.f64 x x x)) (.f64 x (*.f64 (fma.f64 x x x) x)))
(+.f64 (.f64 (neg.f64 x) (fma.f64 x x x)) (.f64 (*.f64 (fma.f64 x x x) x) x))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))

eval189.0ms (4.5%)

Memory: 38.3MiB live, 345.4MiB allocated
Compiler: Compiled 26 583 to 3 812 computations (85.7% saved)

prune17.0ms (0.4%)

Memory

6.4MiB live, 84.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1 186	1	1 187
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 189	3	1 192

Accuracy

100.0%

Counts

1 192 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (.f64 (.f64 x x) x))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	98.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 27 to 13 computations (51.9% saved)

simplify4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x x (.f64 (.f64 x x) x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	16
1	11	13
2	20	13
3	26	13
4	38	13
5	38	13
6	50	13
7	50	13
0	50	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (.f64 x x) x))
x
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
(fma.f64 x x (.f64 (.f64 x x) x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
x
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)

localize42.0ms (1%)

Memory

-45.3MiB live, 52.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 x x (.f64 (.f64 x x) x))
accuracy	0.0703125	(.f64 (.f64 x x) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (65.3% of total)

ival-add: 4.0ms (32.6% of total)

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

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

series2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (.f64 x x) x))
(*.f64 x x)
(.f64 (.f64 x x) x)

Outputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x x) (* (* x x) x)) (* x x) (* (* x x) x))
1.0ms	x	@	inf	((+ (* x x) (* (* x x) x)) (* x x) (* (* x x) x))
0.0ms	x	@	0	((+ (* x x) (* (* x x) x)) (* x x) (* (* x x) x))

simplify297.0ms (7.1%)

Memory

23.2MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	30	20
2	64	20
3	103	20
4	286	20
5	1326	20
6	2335	20
7	3183	20
8	3904	20
9	4731	20
10	5074	20
11	5337	20
12	5549	20
13	5769	20
14	5852	20
15	6642	20
16	7744	20
0	8032	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))

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

rewrite193.0ms (4.6%)

Memory

-8.2MiB live, 184.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	16
0	7	12
1	27	12
2	187	12
3	1724	12
0	8171	12

Stop Event

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

Counts

3 → 216

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (.f64 x x) x))
(*.f64 x x)
(.f64 (.f64 x x) x)

Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 27 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x (*.f64 x x)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x (*.f64 x x)) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (.f64 (-.f64 x (.f64 x x)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 x (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (-.f64 x (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (.f64 (-.f64 x (.f64 x x)) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (.f64 (-.f64 x (.f64 x x)) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 27 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (-.f64 x (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (.f64 x x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x (.f64 x x)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (.f64 x x))))))))
(.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (.f64 (-.f64 x (.f64 x x)) x) (-.f64 x (.f64 x x))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 (*.f64 x x) x)))))
(.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (.f64 (-.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (-.f64 x (.f64 x x)) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (.f64 (-.f64 x (.f64 x x)) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (.f64 (-.f64 x (.f64 x x)) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (.f64 (-.f64 x (.f64 x x)) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (-.f64 x (.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 x) (-.f64 x (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (-.f64 x (.f64 x x)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (-.f64 x (.f64 x x)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64)))) (.f64 (-.f64 x (.f64 x x)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64)))) (.f64 (-.f64 x (.f64 x x)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (.f64 x x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (.f64 x x)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 4 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval23.0ms (0.5%)

Memory: 3.7MiB live, 38.9MiB allocated
Compiler: Compiled 5 545 to 623 computations (88.8% saved)

prune4.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	219	3	222

Accuracy

100.0%

Counts

222 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (.f64 (.f64 x x) x))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	98.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 91 to 36 computations (60.4% saved)

regimes7.0ms (0.2%)

Memory

-26.3MiB live, 10.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x (.f64 (.f64 x x) x))

Calls

2 calls:

5.0ms	x
2.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 10 to 5 computations (50% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)

Outputs
(*.f64 (fma.f64 x x x) x)

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 10 to 5 computations (50% saved)

regimes2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Outputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 10 to 5 computations (50% saved)

simplify25.0ms (0.6%)

Memory

18.0MiB live, 54.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	12	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (.f64 x x) x))
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Outputs
(fma.f64 x x (.f64 (.f64 x x) x))
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

soundness617.0ms (14.8%)

Memory

-22.5MiB live, 334.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	30	20
2	64	20
3	103	20
4	286	20
5	1326	20
6	2335	20
7	3183	20
8	3904	20
9	4731	20
10	5074	20
11	5337	20
12	5549	20
13	5769	20
14	5852	20
15	6642	20
16	7744	20
0	8032	18
0	19	84
0	32	71
1	120	67
2	841	65
0	8898	65
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Compiler

Compiled 82 to 33 computations (59.8% saved)

preprocess25.0ms (0.6%)

Memory: 8.5MiB live, 45.3MiB allocated
Compiler: Compiled 86 to 38 computations (55.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (25%)

explain111.0ms (2.7%)

preprocess17.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize30.0ms (0.7%)

series3.0ms (0.1%)

simplify242.0ms (5.8%)

rewrite197.0ms (4.7%)

eval36.0ms (0.9%)

prune54.0ms (1.3%)

simplify243.0ms (5.8%)

localize59.0ms (1.4%)

series6.0ms (0.1%)

simplify246.0ms (5.9%)

rewrite428.0ms (10.3%)

eval189.0ms (4.5%)

prune17.0ms (0.4%)

simplify4.0ms (0.1%)

localize42.0ms (1%)

series2.0ms (0%)

simplify297.0ms (7.1%)

rewrite193.0ms (4.6%)

eval23.0ms (0.5%)

prune4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify25.0ms (0.6%)

soundness617.0ms (14.8%)

preprocess25.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6