Metrics for Expression 3, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample860.0ms (34.8%)

Memory

36.6MiB live, 738.9MiB allocated

Samples

601.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 396.0ms

ival-mult: 188.0ms (47.5% of total)

ival-<=: 145.0ms (36.6% of total)

ival-add: 39.0ms (9.9% of total)

ival-and: 10.0ms (2.5% of total)

exact: 10.0ms (2.5% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain62.0ms (2.5%)

Memory

-9.5MiB live, 112.2MiB 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

21.0ms

512×

valid

Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (65.2% of total)

ival-add: 2.0ms (21.7% of total)

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

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

preprocess20.0ms (0.8%)

Memory

-11.6MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	317	14
4	438	14
5	442	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

0.7MiB live, 0.7MiB 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

5.3MiB live, 5.3MiB 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)

localize18.0ms (0.7%)

Memory

-17.0MiB live, 25.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
accuracy	0.08203125	(.f64 x (.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

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

ival-mult: 3.0ms (67.9% of total)

ival-add: 1.0ms (22.6% of total)

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

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

series3.0ms (0.1%)

Memory

4.9MiB live, 4.8MiB 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)))

simplify153.0ms (6.2%)

Memory

33.0MiB live, 148.6MiB 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	1327	20
6	2336	20
7	3178	20
8	3901	20
9	4727	20
10	5070	20
11	5335	20
12	5547	20
13	5767	20
14	5850	20
15	6640	20
16	7717	20
0	8019	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)

rewrite195.0ms (7.9%)

Memory

-7.6MiB live, 232.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1780	13
0	8479	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 (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 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 (/.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)))

eval24.0ms (1%)

Memory: 6.3MiB live, 43.6MiB allocated
Compiler: Compiled 6 119 to 690 computations (88.7% saved)

prune6.0ms (0.2%)

Memory

-24.6MiB live, 13.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	256	3	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	3	260

Accuracy

100.0%

Counts

260 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	98.8%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 27 to 12 computations (55.6% saved)

simplify4.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	15	35
1	24	35
2	30	35
3	42	35
4	42	35
5	54	35
6	54	35
0	54	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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

Outputs
#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

localize181.0ms (7.3%)

Memory

-14.6MiB live, 31.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (.f64 x x) x (.f64 x x))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.00390625	(*.f64 (fma.f64 x x x) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.7981303075672	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Samples

15.0ms

256×

valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (65% of total)

ival-add: 3.0ms (32.5% of total)

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

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

series3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

5 → 7

Calls

Call 1

Inputs
#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))

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ (* (* x x) x) (* x x)))

1.0ms

inf

((+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ (* (* x x) x) (* x x)))

1.0ms

((+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ (* (* x x) x) (* x x)))

simplify173.0ms (7%)

Memory

12.2MiB live, 120.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	42	31
2	76	31
3	133	31
4	298	31
5	1307	31
6	2310	31
7	3167	31
8	3911	31
9	4701	31
10	5044	31
11	5303	31
12	5515	31
13	5735	31
14	5818	31
15	6608	31
16	7688	31
17	7976	31
0	8068	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 6

Calls

Call 1

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

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
x
(* x (+ 1 x))
(fma.f64 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)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)

rewrite182.0ms (7.4%)

Memory

4.2MiB live, 279.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
0	15	29
1	45	29
2	285	29
3	2956	29
0	8950	29

Stop Event

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

Counts

5 → 530

Calls

Call 1

Inputs
#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))

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

eval62.0ms (2.5%)

Memory: 6.3MiB live, 95.5MiB allocated
Compiler: Compiled 8 572 to 1 084 computations (87.4% saved)

prune8.0ms (0.3%)

Memory

-18.5MiB live, 19.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	366	0	366
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	366	3	369

Accuracy

100.0%

Counts

369 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	98.8%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 63 to 23 computations (63.5% saved)

regimes3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	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

5.4MiB live, 5.4MiB 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
98.8%	1	`x`
98.8%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 10 to 5 computations (50% saved)

simplify188.0ms (7.6%)

Memory

9.7MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	17	17
2	25	17
3	34	17
4	42	17
5	54	17
6	60	17
7	68	17
8	82	17
9	153	17
10	1306	17
11	2199	17
12	2819	17
13	3649	17
14	4887	17
15	6984	17
16	7767	17
17	7968	17

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness299.0ms (12.1%)

Memory

-8.4MiB live, 141.4MiB 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	1327	20
6	2336	20
7	3178	20
8	3901	20
9	4727	20
10	5070	20
11	5335	20
12	5547	20
13	5767	20
14	5850	20
15	6640	20
16	7717	20
0	8019	18
0	4	17
0	7	13
1	30	13
2	199	13
3	1780	13
0	8479	12

Stop Event

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

preprocess23.0ms (0.9%)

Memory: 4.2MiB live, 40.9MiB allocated
Compiler: Compiled 70 to 34 computations (51.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	317	14
4	438	14
5	442	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	317	14
4	438	14
5	442	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%)

sample860.0ms (34.8%)

explain62.0ms (2.5%)

preprocess20.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.7%)

series3.0ms (0.1%)

simplify153.0ms (6.2%)

rewrite195.0ms (7.9%)

eval24.0ms (1%)

prune6.0ms (0.2%)

simplify4.0ms (0.2%)

localize181.0ms (7.3%)

series3.0ms (0.1%)

simplify173.0ms (7%)

rewrite182.0ms (7.4%)

eval62.0ms (2.5%)

prune8.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify188.0ms (7.6%)

soundness299.0ms (12.1%)

preprocess23.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	317	14
4	438	14
5	442	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