Metrics for Rump's expression from Stadtherr's award speech

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample736.0ms (28.2%)

Memory

19.8MiB live, 887.5MiB allocated

Samples

549.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-==: 167.0ms (49.2% of total)

const: 149.0ms (43.9% of total)

ival-and: 10.0ms (2.9% of total)

exact: 10.0ms (2.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess669.0ms (25.6%)

Memory

-180.6MiB live, 715.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 418×	`lower-fma.f64`
18 418×	`lower-fma.f32`
3 166×	`lower-*.f32`
3 156×	`lower-+.f32`
3 150×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	30	43
0	50	43
1	90	43
2	195	43
3	469	43
4	1445	43
5	3010	43
6	4924	43
7	6931	43
0	8196	38

Stop Event

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

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

Outputs

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (fma.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)) (fma.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 x (*.f64 x #s(literal 11 binary64)))))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (neg.f64 (*.f64 x x))) (*.f64 x (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64))))))))

Symmetry

(abs y)

(abs x)

(sort x y)

explain408.0ms (15.6%)

Memory

12.8MiB live, 603.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))))`
-	-	`(*.f64 #s(literal 2 binary64) y)`
-	-	`#s(literal 8 binary64)`
-	-	`#s(literal 11/2 binary64)`
-	-	`(pow.f64 y #s(literal 4 binary64))`
-	-	`(.f64 (.f64 (*.f64 #s(literal 11 binary64) x) x) y)`
-	-	`(.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y)`
-	-	`y`
-	-	`(.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))`
-	-	`(pow.f64 y #s(literal 8 binary64))`
-	-	`#s(literal 121 binary64)`
-	-	`(*.f64 #s(literal 11 binary64) x)`
-	-	`#s(literal 1335/4 binary64)`
-	-	`(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))`
-	-	`(-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))`
-	-	`(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))`
-	-	`(.f64 (.f64 #s(literal 11 binary64) x) x)`
-	-	`(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 x x)`
-	-	`#s(literal 6 binary64)`
-	-	`(-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64)))`
-	-	`(/.f64 x (*.f64 #s(literal 2 binary64) y))`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))`
-	-	`(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))`
-	-	`(-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))))`
-	-	`x`
-	-	`(pow.f64 y #s(literal 6 binary64))`
-	-	`#s(literal 11 binary64)`

Confusion

	Predicted +	Predicted -
+	0	256
-	0	0

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

133.0ms

512×

valid

Compiler

Compiled 610 to 124 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 27.0ms (46.7% of total)

ival-pow: 13.0ms (22.5% of total)

ival-sub: 6.0ms (10.4% of total)

ival-add: 6.0ms (10.4% of total)

ival-div: 4.0ms (6.9% of total)

exact: 2.0ms (3.5% of total)

ival-true: 1.0ms (1.7% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.4%	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))

Status

Accuracy

Program

▶

1.4%

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify500.0ms (19.1%)

Memory

-3.0MiB live, 694.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))
✓	cost-diff	5504	(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))))

Rules

18 418×	`lower-fma.f64`
18 418×	`lower-fma.f32`
3 166×	`lower-*.f32`
3 156×	`lower-+.f32`
3 150×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	258
0	50	258
1	90	258
2	195	258
3	469	258
4	1445	258
5	3010	258
6	4924	258
7	6931	258
0	8196	241

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))
(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
#s(literal 1335/4 binary64)
(pow.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
(.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))
(*.f64 x x)
x
(-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))
(-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64)))
(.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y)
(.f64 (.f64 (*.f64 #s(literal 11 binary64) x) x) y)
(.f64 (.f64 #s(literal 11 binary64) x) x)
(*.f64 #s(literal 11 binary64) x)
#s(literal 11 binary64)
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
#s(literal 121 binary64)
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
#s(literal 11/2 binary64)
(pow.f64 y #s(literal 8 binary64))
#s(literal 8 binary64)
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)

Outputs
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (fma.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)) (fma.f64 y (.f64 x (.f64 x (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (neg.f64 (.f64 x x))) (.f64 x (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64))))))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))
(fma.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)) (fma.f64 y (.f64 x (.f64 x (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (neg.f64 (.f64 x x))) (.f64 x (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64)))))))
(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))))
(fma.f64 y (.f64 x (.f64 x (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (neg.f64 (.f64 x x))) (.f64 x (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64))))))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
#s(literal 1335/4 binary64)
(pow.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
(.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))
(.f64 x (.f64 x (-.f64 #s(literal -2 binary64) (fma.f64 y (.f64 (.f64 y (*.f64 x x)) #s(literal -11 binary64)) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))))))
(*.f64 x x)
x
(-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal -2 binary64) (fma.f64 y (.f64 (.f64 y (*.f64 x x)) #s(literal -11 binary64)) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (.f64 y (.f64 y (.f64 x (.f64 x #s(literal 11 binary64))))) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))
(-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64)))
(-.f64 (.f64 y (.f64 y (.f64 x (.f64 x #s(literal 11 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y)
(.f64 y (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))
(.f64 (.f64 (*.f64 #s(literal 11 binary64) x) x) y)
(.f64 y (.f64 x (*.f64 x #s(literal 11 binary64))))
(.f64 (.f64 #s(literal 11 binary64) x) x)
(.f64 x (.f64 x #s(literal 11 binary64)))
(*.f64 #s(literal 11 binary64) x)
(*.f64 x #s(literal 11 binary64))
#s(literal 11 binary64)
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
#s(literal 121 binary64)
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
#s(literal 11/2 binary64)
(pow.f64 y #s(literal 8 binary64))
#s(literal 8 binary64)
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))

localize121.0ms (4.6%)

Memory

6.7MiB live, 126.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 11 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)

Samples

68.0ms

256×

valid

Compiler

Compiled 260 to 32 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 38.0ms (70.6% of total)

ival-pow: 7.0ms (13% of total)

ival-sub: 3.0ms (5.6% of total)

ival-add: 3.0ms (5.6% of total)

ival-div: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

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

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

series4.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 11 binary64) x)>
#<alt (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))>

Outputs
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* 11/2 (pow y 8))
0.0ms	x	@	0	(* 11 x)
0.0ms	y	@	-inf	(* 2 y)
0.0ms	y	@	0	(* 121 (pow y 4))
0.0ms	y	@	0	(* 2 y)

rewrite90.0ms (3.5%)

Memory

-1.8MiB live, 72.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

490×	`lower-*.f32`
482×	`lower-*.f64`
168×	`lower-fma.f64`
168×	`lower-fma.f32`
150×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
0	20	16
1	34	16
2	69	16
3	185	16
0	732	16

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 40

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(*.f64 #s(literal 11 binary64) x)
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 y (.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 11/2 binary64)))
(.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))))
(.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(.f64 y (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 #s(literal 11/2 binary64) (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 11/2 binary64))
(.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))))
(.f64 (.f64 y y) (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 11/2 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))))
(.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y #s(literal 11/2 binary64)))
(.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) y) (.f64 y (.f64 y y)))
(.f64 (.f64 #s(literal 11/2 binary64) y) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) y) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) y)
(.f64 (.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) (.f64 y (.f64 y y))) y)
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) y)
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) y) y)
(*.f64 #s(literal 11 binary64) x)
(*.f64 x #s(literal 11 binary64))
(.f64 y (.f64 (.f64 y y) (.f64 y #s(literal 121 binary64))))
(.f64 #s(literal 121 binary64) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 121 binary64))
(.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 121 binary64))))
(.f64 (.f64 y (.f64 y #s(literal 121 binary64))) (.f64 y y))
(.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 121 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 (.f64 y y) (*.f64 y #s(literal 121 binary64)))))
(.f64 (.f64 (.f64 y y) (.f64 y #s(literal 121 binary64))) y)
(.f64 (.f64 y #s(literal 121 binary64)) (.f64 y (.f64 y y)))
(.f64 (.f64 (.f64 (.f64 y y) (*.f64 y #s(literal 121 binary64))) (sqrt.f64 y)) (sqrt.f64 y))

simplify5.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
8×	`*-commutative`
4×	`lower-pow.f64`
4×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	192
1	18	192
0	18	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))

Outputs
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 11 x)
(*.f64 #s(literal 11 binary64) x)
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))

simplify7.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	532
0	80	532

Stop Event

1×	saturated
1×	saturated

Counts

40 → 0

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 y (.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 11/2 binary64)))
(.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))))
(.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(.f64 y (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 #s(literal 11/2 binary64) (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 11/2 binary64))
(.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))))
(.f64 (.f64 y y) (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 11/2 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))))
(.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y #s(literal 11/2 binary64)))
(.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) y) (.f64 y (.f64 y y)))
(.f64 (.f64 #s(literal 11/2 binary64) y) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) y) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) y)
(.f64 (.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) (.f64 y (.f64 y y))) y)
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) y)
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) y) y)
(*.f64 #s(literal 11 binary64) x)
(*.f64 x #s(literal 11 binary64))
(.f64 y (.f64 (.f64 y y) (.f64 y #s(literal 121 binary64))))
(.f64 #s(literal 121 binary64) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 121 binary64))
(.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 121 binary64))))
(.f64 (.f64 y (.f64 y #s(literal 121 binary64))) (.f64 y y))
(.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 121 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 (.f64 y y) (*.f64 y #s(literal 121 binary64)))))
(.f64 (.f64 (.f64 y y) (.f64 y #s(literal 121 binary64))) y)
(.f64 (.f64 y #s(literal 121 binary64)) (.f64 y (.f64 y y)))
(.f64 (.f64 (.f64 (.f64 y y) (*.f64 y #s(literal 121 binary64))) (sqrt.f64 y)) (sqrt.f64 y))

Outputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 y (.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 11/2 binary64)))
(.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))))
(.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(.f64 y (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 #s(literal 11/2 binary64) (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 11/2 binary64))
(.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))))
(.f64 (.f64 y y) (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 11/2 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))))
(.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y #s(literal 11/2 binary64)))
(.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) y) (.f64 y (.f64 y y)))
(.f64 (.f64 #s(literal 11/2 binary64) y) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) y) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
(.f64 (.f64 #s(literal 11/2 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) y)
(.f64 (.f64 (.f64 y (.f64 y (.f64 #s(literal 11/2 binary64) (.f64 y y)))) (.f64 y (.f64 y y))) y)
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) y)
(.f64 (.f64 (.f64 #s(literal 11/2 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) y) y)
(*.f64 #s(literal 11 binary64) x)
(*.f64 x #s(literal 11 binary64))
(.f64 y (.f64 (.f64 y y) (.f64 y #s(literal 121 binary64))))
(.f64 #s(literal 121 binary64) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 121 binary64))
(.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 121 binary64))))
(.f64 (.f64 y (.f64 y #s(literal 121 binary64))) (.f64 y y))
(.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 121 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 (.f64 y y) (*.f64 y #s(literal 121 binary64)))))
(.f64 (.f64 (.f64 y y) (.f64 y #s(literal 121 binary64))) y)
(.f64 (.f64 y #s(literal 121 binary64)) (.f64 y (.f64 y y)))
(.f64 (.f64 (.f64 (.f64 y y) (*.f64 y #s(literal 121 binary64))) (sqrt.f64 y)) (sqrt.f64 y))

eval18.0ms (0.7%)

Memory: -19.0MiB live, 21.5MiB allocated
Compiler: Compiled 4 130 to 30 computations (99.3% saved)

prune1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	1	97

Accuracy

1.4%

Counts

97 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.4%	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))

Status

Accuracy

Program

✓

1.4%

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

Compiler

Compiled 90 to 60 computations (33.3% saved)

simplify8.0ms (0.3%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
22×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	43
1	51	43
2	69	43
3	79	43
4	85	43
5	86	43

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

Outputs

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 11 binary64))))) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 y #s(literal 2 binary64))))

soundness1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 45 to 30 computations (33.3% saved)

preprocess43.0ms (1.7%)

Memory

22.2MiB live, 97.9MiB allocated

Remove

(sort x y)

(abs x)

(abs y)

Compiler

Compiled 720 to 480 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample736.0ms (28.2%)

preprocess669.0ms (25.6%)

explain408.0ms (15.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify500.0ms (19.1%)

localize121.0ms (4.6%)

series4.0ms (0.2%)

rewrite90.0ms (3.5%)

simplify5.0ms (0.2%)

simplify7.0ms (0.3%)

eval18.0ms (0.7%)

prune1.0ms (0.1%)

simplify8.0ms (0.3%)

soundness1.0ms (0%)

preprocess43.0ms (1.7%)

end0.0ms (0%)

Profiling