Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample851.0ms (16.7%)

Memory

30.1MiB live, 929.6MiB allocated

Samples

592.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-add: 184.0ms (51.2% of total)

ival-mult: 167.0ms (46.4% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

explain171.0ms (3.4%)

Memory

-18.6MiB live, 235.0MiB allocated

FPErrors

Click to see full error table

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

55.0ms

512×

valid

Compiler

Compiled 142 to 32 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 27.0ms (66.4% of total)

ival-mult: 13.0ms (32% of total)

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

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

preprocess95.0ms (1.9%)

Memory

-24.0MiB live, 97.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	83	67
2	242	47
3	535	45
4	1249	45
5	1816	45
6	2281	45
7	2470	45
8	2622	45
0	7	15
0	12	15
1	30	13
2	105	9
3	312	9
4	695	9
5	998	9
6	1250	9
7	1358	9
8	1438	9
0	1438	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify27.0ms (0.5%)

Memory

16.5MiB live, 51.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	1	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	2	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
cost-diff	4	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	41
0	12	41
1	30	37
2	105	33
3	312	33
4	695	33
5	998	33
6	1250	33
7	1358	33
8	1438	33
0	1438	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize20.0ms (0.4%)

Memory

2.4MiB live, 41.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
accuracy	0.05078125	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

15.0ms

256×

valid

Compiler

Compiled 84 to 16 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.2% of total)

ival-mult: 3.0ms (46.2% of total)

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

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

series4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify145.0ms (2.8%)

Memory

3.9MiB live, 127.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite285.0ms (5.6%)

Memory

-21.6MiB live, 136.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
0	12	39
1	66	35
2	720	35
0	9413	31

Stop Event

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

Counts

5 → 422

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 #s(literal 2 binary64) (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 #s(literal 2 binary64) (.f64 y y))))) (fma.f64 x x (fma.f64 (neg.f64 y) y (.f64 #s(literal 2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 y y)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 y y)))) (-.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))))) (-.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 (neg.f64 y) y)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 (neg.f64 y) y)))) (-.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (neg.f64 y) y (.f64 #s(literal 2 binary64) (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 #s(literal 2 binary64) (.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x x))))))
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(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 y (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y))))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y))))
(+.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) x))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(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))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval78.0ms (1.5%)

Memory: 7.7MiB live, 134.7MiB allocated
Compiler: Compiled 12 610 to 1 332 computations (89.4% saved)

prune10.0ms (0.2%)

Memory

-9.8MiB live, 26.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	464	3	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	465	3	468

Accuracy

100.0%

Counts

468 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
▶	58.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Status

Accuracy

Program

▶

100.0%

(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

▶

99.9%

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))

▶

58.4%

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify26.0ms (0.5%)

Memory

2.7MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 y y)
cost-diff	3	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 y y))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	28	86
1	60	86
2	180	80
3	472	80
4	847	80
5	1092	80
6	1318	80
7	1408	80
8	1488	80
0	1488	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
y
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 #s(literal 3 binary64) (.f64 y y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x

localize49.0ms (1%)

Memory

26.9MiB live, 64.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
accuracy	0.08984375	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.11328125	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	26.540627340424653	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Samples

39.0ms

256×

valid

Compiler

Compiled 185 to 36 computations (80.5% saved)

Precisions

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

ival-mult: 22.0ms (74.8% of total)

ival-add: 7.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.5%)

Memory

-30.6MiB live, 15.1MiB allocated

Counts

10 → 14

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 x x)
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
2.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
2.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))

simplify153.0ms (3%)

Memory

31.6MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	108
1	92	88
2	293	88
3	1940	88
4	7938	88
0	8237	80

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite168.0ms (3.3%)

Memory

8.0MiB live, 279.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	87
0	28	79
1	136	76
2	1415	76
0	9419	73

Stop Event

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

Counts

10 → 657

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 x x)
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y)
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y)
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(.f64 #s(literal 3 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 3 binary64))))
(.f64 y (fabs.f64 (.f64 #s(literal 3 binary64) y)))
(.f64 y (.f64 #s(literal 3 binary64) y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)))
(fabs.f64 (.f64 (.f64 #s(literal 3 binary64) y) y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
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(fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x))))
(fma.f64 (/.f64 y (+.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x))))
(fma.f64 (/.f64 y (+.f64 (neg.f64 y) x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (neg.f64 y) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x))))
(fma.f64 (/.f64 y (+.f64 y (neg.f64 x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y (neg.f64 x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x))))
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (neg.f64 x) (neg.f64 y))) (/.f64 x (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (neg.f64 x) y)) (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x (neg.f64 y))) (/.f64 (neg.f64 x) (-.f64 x (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x (neg.f64 y))) (/.f64 x (-.f64 x (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 (neg.f64 x) y)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 x (neg.f64 y))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 x y)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 x (neg.f64 y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 x x) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (neg.f64 x) y)) (/.f64 (.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x (neg.f64 y))) (/.f64 (.f64 x x) (-.f64 x (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 x (+.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 x (+.f64 x (neg.f64 y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (neg.f64 y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 y) y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 y) y))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 y y) (.f64 x x))

eval110.0ms (2.2%)

Memory: -47.0MiB live, 166.0MiB allocated
Compiler: Compiled 24 106 to 2 033 computations (91.6% saved)

prune13.0ms (0.3%)

Memory

-1.8MiB live, 37.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	680	3	683
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	682	4	686

Accuracy

100.0%

Counts

686 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
▶	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
▶	58.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	58.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 82 to 43 computations (47.6% saved)

simplify26.0ms (0.5%)

Memory

33.7MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
0	28	102
1	59	102
2	180	92
3	488	92
4	888	92
5	1148	92
6	1384	92
7	1474	92
8	1554	92
0	1554	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(*.f64 y y)
y
#s(literal 3 binary64)
(*.f64 x x)
x
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(*.f64 y y)
y
#s(literal 3 binary64)
(*.f64 x x)
x
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)

localize39.0ms (0.8%)

Memory

-13.2MiB live, 63.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 y y)
accuracy	0.01171875	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	26.55416848654822	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
accuracy	0.0625	(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.14453125	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	26.540627340424653	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Samples

29.0ms

256×

valid

Compiler

Compiled 193 to 37 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 11.0ms (58.1% of total)

ival-add: 8.0ms (42.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

10 → 14

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))

simplify151.0ms (3%)

Memory

4.3MiB live, 123.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	108
1	92	88
2	293	88
3	1940	88
4	7938	88
0	8237	80

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite200.0ms (3.9%)

Memory

-0.4MiB live, 117.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	28	93
1	130	88
2	1397	88
0	8737	81

Stop Event

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

Counts

10 → 247

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y)
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y)
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(.f64 #s(literal 3 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 3 binary64))))
(.f64 y (fabs.f64 (.f64 #s(literal 3 binary64) y)))
(.f64 y (.f64 #s(literal 3 binary64) y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)))
(fabs.f64 (.f64 (.f64 #s(literal 3 binary64) y) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 (neg.f64 (neg.f64 x)) x)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) y) y)))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y (.f64 x x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 x x))
(fma.f64 y (fabs.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (.f64 #s(literal 3 binary64) y)) (.f64 x x))
(fma.f64 y (.f64 #s(literal 3 binary64) y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (.f64 #s(literal 3 binary64) y) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) y) y))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 3 binary64) y) y))))
(-.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(-.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y))
(-.f64 (.f64 x x) (.f64 #s(literal -3 binary64) (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
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(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 y y))) #s(literal 0 binary64))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fabs.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fabs.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 y y))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y y))
(fma.f64 (neg.f64 y) y (*.f64 (neg.f64 y) y))
(fma.f64 y (neg.f64 y) (*.f64 (neg.f64 y) y))
(fma.f64 y y (*.f64 y y))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 (.f64 y y) (.f64 (neg.f64 y) y))
(fabs.f64 (-.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (.f64 y y)))
(fabs.f64 (-.f64 (.f64 (neg.f64 y) y) (.f64 y y)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(fabs.f64 (*.f64 #s(literal 2 binary64) y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64) (.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))

eval52.0ms (1%)

Memory: -6.1MiB live, 32.2MiB allocated
Compiler: Compiled 8 240 to 775 computations (90.6% saved)

prune8.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	270	5	275

Accuracy

100.0%

Counts

275 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
▶	33.4%	(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
✓	58.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	58.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 96 to 52 computations (45.8% saved)

simplify6.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	12	30
1	27	30
2	75	30
3	141	30
4	188	30
5	190	30
0	190	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
#s(literal 2 binary64)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)

Outputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
#s(literal 2 binary64)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)

localize28.0ms (0.5%)

Memory

-24.1MiB live, 15.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0078125	(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	26.55416848654822	#s(approx (+ (* y y) (* x x)) (*.f64 y y))

Samples

22.0ms

256×

valid

Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 11.0ms (65.7% of total)

ival-mult: 5.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

3 → 13

Calls

Call 1

Inputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)

Outputs
(+ (* 2 y) (pow y 2))
(+ (* 2 y) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 2 y) (pow x 2))
(+ (* y (+ 2 y)) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y))
1.0ms	y	@	-inf	((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y))
0.0ms	x	@	0	((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y))
0.0ms	x	@	inf	((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y))
0.0ms	y	@	0	((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y))

simplify214.0ms (4.2%)

Memory

7.1MiB live, 87.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	109
1	126	95
2	448	95
3	2374	95
0	8594	86

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
(+ (* 2 y) (pow y 2))
(+ (* 2 y) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 2 y) (pow x 2))
(+ (* y (+ 2 y)) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))

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

rewrite123.0ms (2.4%)

Memory

-13.3MiB live, 62.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	12	28
1	54	28
2	476	28
3	7270	28
0	8207	26

Stop Event

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

Counts

3 → 84

Calls

Call 1

Inputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)

Outputs
(.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ ( y y) (* x x)) (.f64 y y))) (.f64 #s(literal 4 binary64) (*.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y))) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (-.f64 (.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(.f64 (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(approx (+ ( y y) (* x x)) (.f64 y y))) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
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(fma.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 y (/.f64 (.f64 #s(literal 4 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal -2 binary64) y))
(+.f64 (+.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) y) y)
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(+.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(+.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))
(+.f64 y (+.f64 y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval10.0ms (0.2%)

Memory: 13.3MiB live, 13.3MiB allocated
Compiler: Compiled 5 262 to 306 computations (94.2% saved)

prune5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	88	7	95

Accuracy

100.0%

Counts

95 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
✓	58.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	58.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
	71.4%	#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
	33.4%	#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
	54.6%	#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))

Compiler

Compiled 332 to 117 computations (64.8% saved)

regimes90.0ms (1.8%)

Memory

-7.0MiB live, 36.0MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

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

Calls

5 calls:

75.0ms	y
4.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes45.0ms (0.9%)

Memory

-18.5MiB live, 18.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))

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

Calls

5 calls:

3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes15.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))

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

Calls

5 calls:

3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes13.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))

Outputs
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))

Calls

5 calls:

3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.f64 y y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
91.9%	2	`x`
83.7%	2	`y`
80.2%	2	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
91.9%	2	`(*.f64 x x)`
83.7%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes44.0ms (0.9%)

Memory

-33.2MiB live, 6.9MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))

Calls

2 calls:

41.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
91.9%	2	`x`
91.9%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))

Outputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
83.6%	2	`y`
83.6%	2	`(*.f64 y y)`
81.2%	2	`x`
81.2%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))

Outputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
56.5%	2	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
58.5%	2	`x`
58.5%	2	`(*.f64 x x)`
75.4%	2	`y`
75.4%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))

Outputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
54.6%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
54.6%	1	`x`
54.6%	1	`(*.f64 x x)`
54.6%	1	`y`
54.6%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch14.0ms (0.3%)

Memory

-29.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.2892597237727026e-190	6.353946642208211e-186

Samples

5.0ms

128×

valid

Compiler

Compiled 290 to 196 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (78.3% of total)

ival-mult: 1.0ms (39.2% of total)

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

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.2892597237727026e-190	6.353946642208211e-186

Compiler

Compiled 330 to 212 computations (35.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	43658031551.118484	15820604890812.492

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.476571034602834e+298	5.228398530568406e+299

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify39.0ms (0.8%)

Memory

26.9MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	243
1	69	223
2	181	215
3	478	215
4	962	215
5	1449	215
6	2339	215

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3367982276076923/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (.f64 y y))) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3367982276076923/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 (.f64 y y) #s(literal 50000000000 binary64)) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (.f64 x x)) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))

Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3367982276076923/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (.f64 y y))) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3367982276076923/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 (.f64 y y) #s(literal 50000000000 binary64)) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (.f64 x x)) #s(approx (+ ( y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))

soundness1.7s (32.4%)

Memory

-5.8MiB live, 632.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	28	93
1	130	88
2	1397	88
0	8737	81
0	40	109
1	126	95
2	448	95
3	2374	95
0	8594	86
0	30	108
1	92	88
2	293	88
3	1940	88
4	7938	88
0	8237	80
0	18	87
0	28	79
1	136	76
2	1415	76
0	9419	73
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95
0	7	39
0	12	39
1	66	35
2	720	35
0	9413	31

Stop Event

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

Compiler

Compiled 679 to 260 computations (61.7% saved)

preprocess55.0ms (1.1%)

Memory

-12.5MiB live, 110.2MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 582 to 138 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample851.0ms (16.7%)

explain171.0ms (3.4%)

preprocess95.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.5%)

localize20.0ms (0.4%)

series4.0ms (0.1%)

simplify145.0ms (2.8%)

rewrite285.0ms (5.6%)

eval78.0ms (1.5%)

prune10.0ms (0.2%)

simplify26.0ms (0.5%)

localize49.0ms (1%)

series27.0ms (0.5%)

simplify153.0ms (3%)

rewrite168.0ms (3.3%)

eval110.0ms (2.2%)

prune13.0ms (0.3%)

simplify26.0ms (0.5%)

localize39.0ms (0.8%)

series5.0ms (0.1%)

simplify151.0ms (3%)

rewrite200.0ms (3.9%)

eval52.0ms (1%)

prune8.0ms (0.2%)

simplify6.0ms (0.1%)

localize28.0ms (0.5%)

series3.0ms (0.1%)

simplify214.0ms (4.2%)

rewrite123.0ms (2.4%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

regimes90.0ms (1.8%)

regimes45.0ms (0.9%)

regimes15.0ms (0.3%)

regimes13.0ms (0.3%)

regimes44.0ms (0.9%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch14.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify39.0ms (0.8%)

soundness1.7s (32.4%)

preprocess55.0ms (1.1%)

end0.0ms (0%)

Profiling