Metrics for From Rump in a 1983 paper

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample1.5s (34.4%)

Memory

-36.1MiB live, 1 615.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 778.0ms

ival-pow: 284.0ms (36.5% of total)

ival-mult: 185.0ms (23.8% of total)

ival-add: 120.0ms (15.4% of total)

ival-sub: 82.0ms (10.5% of total)

ival-==: 73.0ms (9.4% of total)

exact: 19.0ms (2.4% of total)

ival-and: 11.0ms (1.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain122.0ms (2.9%)

Memory

7.7MiB live, 245.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
256	0	-	-	`(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))`
0	0	-	-	`(.f64 #s(literal 2 binary64) (.f64 y y))`
0	0	-	-	`#s(literal 9 binary64)`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 2 binary64)`
0	1	(10864.0 18817.0)	-	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
0	0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	0	-	-	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
0	0	-	-	`(*.f64 y y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`	cancellation	1	0
`-.f64`	`(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
2	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 163 to 52 computations (68.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 10.0ms (36.5% of total)

ival-mult: 9.0ms (32.9% of total)

ival-add: 5.0ms (18.3% of total)

ival-sub: 2.0ms (7.3% of total)

exact: 1.0ms (3.7% of total)

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

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

preprocess63.0ms (1.5%)

Memory

22.7MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	81
1	78	79
2	220	79
3	508	79
4	958	79
5	1355	79
6	1525	79
7	1596	79
8	1603	79
0	12	15
0	19	15
1	28	15
2	55	15
3	94	15
4	181	15
5	352	15
6	541	15
7	630	15
8	670	15
9	672	15
0	672	14

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Outputs

(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))

(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.8%	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify28.0ms (0.7%)

Memory

-9.4MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
cost-diff	128	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(.f64 #s(literal 2 binary64) (.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)

Outputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)

localize37.0ms (0.9%)

Memory

-32.4MiB live, 84.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(.f64 #s(literal 2 binary64) (.f64 y y))
accuracy	23.000000171982702	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

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

ival-mult: 4.0ms (34.8% of total)

ival-pow: 4.0ms (34.8% of total)

ival-sub: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

6 → 16

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 y y)

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(pow x 4)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* 2 (pow y 2))
(pow y 2)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
2.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	y	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	y	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))

simplify128.0ms (3%)

Memory

24.6MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	145
1	97	145
2	197	145
3	399	145
4	1024	145
5	3482	145
6	7300	145
0	8097	140

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(pow x 4)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* 2 (pow y 2))
(pow y 2)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))

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

rewrite184.0ms (4.3%)

Memory

-10.8MiB live, 222.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	19	40
1	64	40
2	471	40
3	6825	40
0	8077	39

Stop Event

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

Counts

6 → 250

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 y y)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -2 binary64) (.f64 y y) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) y (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
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(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal 2 binary64) y))
(*.f64 y y)
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval36.0ms (0.8%)

Memory: -5.0MiB live, 69.0MiB allocated
Compiler: Compiled 9 418 to 784 computations (91.7% saved)

prune5.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

100.0%

Counts

260 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
▶	100.0%	(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
▶	9.6%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))

Status

Accuracy

Program

▶

3.1%

(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))

▶

100.0%

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))

▶

9.6%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 58 to 43 computations (25.9% saved)

simplify74.0ms (1.7%)

Memory

0.9MiB live, 46.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
cost-diff	0	(fma.f64 y y #s(literal -2 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 2 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	145
0	46	141
1	95	140
2	207	138
3	409	138
4	660	138
5	949	138
6	1229	138
7	1435	138
8	1617	138
9	1710	138
10	1722	138
11	1722	138
12	1724	138
0	1724	138

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(*.f64 y y)
y
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
#s(literal 2 binary64)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(*.f64 y y)
y
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
#s(literal 2 binary64)

localize68.0ms (1.6%)

Memory

-2.6MiB live, 108.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	61.99859042974503	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	57.8262914476167	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))

Samples

50.0ms

256×

valid

Compiler

Compiled 289 to 62 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 16.0ms (48.9% of total)

ival-add: 8.0ms (24.4% of total)

ival-pow: 6.0ms (18.3% of total)

ival-sub: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.4%)

Memory

-18.0MiB live, 21.6MiB allocated

Counts

13 → 23

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(*.f64 y y)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* 9 (pow x 4))
(* 9 (pow x 2))
(pow x 2)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* -1 (pow y 2))
(* -1 y)
-2
(- (pow y 2) 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (* (neg y) y) (neg y) (+ (* y y) -2) (* (pow x 4) 9) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))))
2.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (* (neg y) y) (neg y) (+ (* y y) -2) (* (pow x 4) 9) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))))
2.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (* (neg y) y) (neg y) (+ (* y y) -2) (* (pow x 4) 9) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))))
2.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (* (neg y) y) (neg y) (+ (* y y) -2) (* (pow x 4) 9) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))))
2.0ms	x	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (* (neg y) y) (neg y) (+ (* y y) -2) (* (pow x 4) 9) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))))

simplify131.0ms (3.1%)

Memory

30.1MiB live, 179.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	180
1	127	180
2	293	180
3	721	180
4	2098	180
5	6022	180
0	8598	170

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* 9 (pow x 4))
(* 9 (pow x 2))
(pow x 2)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* -1 (pow y 2))
(* -1 y)
-2
(- (pow y 2) 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
-2
#s(literal -2 binary64)
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(pow y 2)
(*.f64 y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))

rewrite154.0ms (3.6%)

Memory

24.7MiB live, 210.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	97
0	43	97
1	176	92
2	1216	92
0	8451	92

Stop Event

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

Counts

13 → 350

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(*.f64 y y)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) y)) y)))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(-.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 y y) (fma.f64 y y #s(literal -2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) y) y))) (neg.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) y) y)))))
(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 #s(literal 2 binary64) y) y))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (.f64 (*.f64 y y) (fma.f64 y y #s(literal -2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y))

eval77.0ms (1.8%)

Memory: 3.9MiB live, 119.8MiB allocated
Compiler: Compiled 12 949 to 1 257 computations (90.3% saved)

prune8.0ms (0.2%)

Memory

-13.9MiB live, 22.7MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	407	2	409
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	410	2	412

Accuracy

100.0%

Counts

412 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))

▶

11.1%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 51 to 31 computations (39.2% saved)

simplify52.0ms (1.2%)

Memory

4.9MiB live, 42.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y y #s(literal -2 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	111
0	38	111
1	77	105
2	177	99
3	395	98
4	612	98
5	920	98
6	1181	98
7	1398	98
8	1504	98
9	1519	98
10	1519	98
11	1523	98
0	1523	96

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 9 binary64)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)

localize57.0ms (1.3%)

Memory

8.5MiB live, 85.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	56.77720091830955	#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
accuracy	57.8262914476167	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))

Samples

41.0ms

256×

valid

Compiler

Compiled 203 to 55 computations (72.9% saved)

Precisions

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

ival-mult: 18.0ms (61.2% of total)

ival-add: 4.0ms (13.6% of total)

ival-pow: 4.0ms (13.6% of total)

ival-sub: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

-3.9MiB live, 27.5MiB allocated

Counts

10 → 23

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) (*.f64 x x))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(pow x 2)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(pow y 2)
(* -1 (pow y 2))
(* -1 y)
-2
(- (pow y 2) 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms	y	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms	x	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))

simplify190.0ms (4.5%)

Memory

4.9MiB live, 196.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	190
1	137	190
2	339	190
3	956	190
4	3045	190
5	7201	190
0	8197	179

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(pow x 2)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(pow y 2)
(* -1 (pow y 2))
(* -1 y)
-2
(- (pow y 2) 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow y 2)
(*.f64 y y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
-2
#s(literal -2 binary64)
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))

rewrite263.0ms (6.2%)

Memory

19.7MiB live, 213.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	96
0	38	88
1	169	88
2	1077	87
0	8771	85

Stop Event

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

Counts

10 → 241

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) (*.f64 x x))

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal 2 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(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))
(/.f64 (.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 (neg.f64 y) y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y y)))
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(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 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 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 #s(literal 0 binary64) y)
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(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal 2 binary64)))))
(.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -8 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 #s(literal 64 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 2 binary64)) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))) (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -2 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal -2 binary64) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))))
(-.f64 (*.f64 y y) #s(literal 2 binary64))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))
(+.f64 #s(literal -2 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal -2 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))

eval115.0ms (2.7%)

Memory: -73.6MiB live, 112.3MiB allocated
Compiler: Compiled 8 658 to 879 computations (89.8% saved)

prune9.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	262	2	264

Accuracy

100.0%

Counts

264 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))

✓

11.1%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 175 to 76 computations (56.6% saved)

regimes27.0ms (0.6%)

Memory

-21.1MiB live, 17.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Outputs
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))

Calls

5 calls:

19.0ms	y
2.0ms	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
100.0%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
100.0%	1	`(pow.f64 x #s(literal 4 binary64))`

Compiler

Compiled 25 to 26 computations (-4% saved)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))

Calls

5 calls:

1.0ms	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
1.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
11.1%	1	`x`
11.1%	1	`y`
11.1%	1	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
11.1%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
11.1%	1	`(pow.f64 x #s(literal 4 binary64))`

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify252.0ms (5.9%)

Memory

-0.2MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	51
1	35	51
2	39	51
3	42	51
4	43	51

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Outputs

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

soundness628.0ms (14.8%)

Memory

-12.3MiB live, 500.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	145
1	97	145
2	197	145
3	399	145
4	1024	145
5	3482	145
6	7300	145
0	8097	140
0	12	40
0	19	40
1	64	40
2	471	40
3	6825	40
0	8077	39
0	50	180
1	127	180
2	293	180
3	721	180
4	2098	180
5	6022	180
0	8598	170
0	28	97
0	43	97
1	176	92
2	1216	92
0	8451	92

Stop Event

1×	done
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

Compiler

Compiled 108 to 67 computations (38% saved)

preprocess43.0ms (1%)

Memory: 2.8MiB live, 40.5MiB allocated
Compiler: Compiled 132 to 82 computations (37.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (34.4%)

explain122.0ms (2.9%)

preprocess63.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify28.0ms (0.7%)

localize37.0ms (0.9%)

series8.0ms (0.2%)

simplify128.0ms (3%)

rewrite184.0ms (4.3%)

eval36.0ms (0.8%)

prune5.0ms (0.1%)

simplify74.0ms (1.7%)

localize68.0ms (1.6%)

series15.0ms (0.4%)

simplify131.0ms (3.1%)

rewrite154.0ms (3.6%)

eval77.0ms (1.8%)

prune8.0ms (0.2%)

simplify52.0ms (1.2%)

localize57.0ms (1.3%)

series12.0ms (0.3%)

simplify190.0ms (4.5%)

rewrite263.0ms (6.2%)

eval115.0ms (2.7%)

prune9.0ms (0.2%)

regimes27.0ms (0.6%)

regimes4.0ms (0.1%)

simplify252.0ms (5.9%)

soundness628.0ms (14.8%)

preprocess43.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47