Metrics for From Rump in a 1983 paper, rewritten

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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 17 computations (26.1% saved)

sample1.5s (36.7%)

Memory

-47.9MiB live, 700.1MiB allocated

Samples

739.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 528.0ms

ival-mult: 188.0ms (35.6% of total)

ival-sub: 131.0ms (24.8% of total)

ival-pow: 95.0ms (18% of total)

ival-==: 81.0ms (15.3% of total)

exact: 19.0ms (3.6% of total)

ival-and: 10.0ms (1.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain309.0ms (7.5%)

Memory

-2.2MiB live, 198.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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
1	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 154 to 48 computations (68.8% saved)

Precisions

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

ival-mult: 18.0ms (63.5% of total)

ival-pow: 5.0ms (17.6% of total)

ival-sub: 4.0ms (14.1% of total)

exact: 1.0ms (3.5% of total)

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

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

preprocess144.0ms (3.5%)

Memory

10.0MiB live, 90.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	81
1	77	81
2	228	79
3	711	79
4	1408	79
5	1928	79
6	2712	79
7	2984	79
8	3094	75
9	3125	75
10	3130	75
11	3130	75
12	3150	75
13	3158	75
14	3158	75
15	3224	75
0	11	15
0	17	15
1	29	15
2	69	15
3	184	15
4	317	15
5	420	15
6	607	15
7	1020	15
8	1221	15
9	1266	15
0	1266	14

Stop Event

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

Calls

Call 1

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

Outputs

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

(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)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify27.0ms (0.6%)

Memory

-1.3MiB live, 38.0MiB 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))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
cost-diff	128	(-.f64 (*.f64 y y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	17	45
1	29	45
2	69	45
3	184	45
4	317	45
5	420	45
6	607	45
7	1020	45
8	1221	45
9	1266	45
0	1266	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.6%)

Memory

23.6MiB live, 62.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

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

ival-mult: 4.0ms (43% of total)

ival-pow: 3.0ms (32.2% of total)

ival-sub: 2.0ms (21.5% 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

-22.4MiB live, 16.4MiB allocated

Counts

6 → 18

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	x	@	inf	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	y	@	inf	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	y	@	0	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	x	@	-inf	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))

simplify104.0ms (2.5%)

Memory

4.8MiB live, 157.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	97	143
2	250	141
3	708	141
4	2466	141
5	6294	141
0	8422	132

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

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

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

rewrite180.0ms (4.3%)

Memory

11.9MiB live, 256.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	17	40
1	62	40
2	419	40
3	4784	40
0	8849	37

Stop Event

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

Counts

6 → 264

Calls

Call 1

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

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

eval41.0ms (1%)

Memory: -7.7MiB live, 112.8MiB allocated
Compiler: Compiled 9 241 to 928 computations (90% saved)

prune7.0ms (0.2%)

Memory

-17.7MiB live, 21.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	281	3	284

Accuracy

100.0%

Counts

284 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

▶

3.1%

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

▶

9.6%

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (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 42 computations (27.6% saved)

simplify53.0ms (1.3%)

Memory

22.1MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	149
0	44	153
1	83	153
2	155	146
3	315	142
4	459	142
5	607	142
6	906	142
7	1372	142
8	1678	142
9	1819	142
10	1843	142
11	1845	142
12	1847	142
0	1847	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (1.7%)

Memory

-15.3MiB live, 143.4MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

47.0ms

256×

valid

Compiler

Compiled 298 to 57 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 19.0ms (61.7% of total)

ival-sub: 4.0ms (13% of total)

ival-add: 4.0ms (13% of total)

ival-pow: 3.0ms (9.7% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

13 → 28

Calls

Call 1

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

Outputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* 9 (pow x 2))
(pow x 2)
(* 9 (pow x 4))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (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))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(* -1 y)
(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)))))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))

Calls

6 calls:

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

simplify150.0ms (3.6%)

Memory

5.0MiB live, 202.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	216
1	162	211
2	407	208
3	1207	208
4	3238	208
5	6035	208
0	8117	200

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

Inputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* 9 (pow x 2))
(pow x 2)
(* 9 (pow x 4))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (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))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(* -1 y)
(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)))))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))

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

rewrite174.0ms (4.2%)

Memory

-3.7MiB live, 271.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	101
0	41	101
1	148	98
2	997	98
0	9247	94

Stop Event

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

Counts

13 → 508

Calls

Call 1

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

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (*.f64 y y) #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (.f64 y y))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 #s(literal -4 binary64) (pow.f64 y #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)))
(.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 18 binary64) (.f64 y y)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (.f64 y y))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))))) (.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 y y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 #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)) (.f64 (*.f64 y y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (*.f64 y y))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal 1 binary64)) (.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))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 531441 binary64) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 531441 binary64) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (.f64 y y)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 3 binary64)) #s(literal 387420489 binary64) (.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 512 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 531441 binary64) (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64))) (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 #s(literal 18 binary64) (.f64 y y)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (*.f64 y y)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 18 binary64) (.f64 y y))))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 y y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 18 binary64) (*.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (*.f64 y y)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 18 binary64) (*.f64 y y))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (*.f64 y y))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (*.f64 y y)))))))
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(+.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 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (neg.f64 (neg.f64 y)) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(+.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))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y))

eval85.0ms (2%)

Memory: 16.3MiB live, 170.9MiB allocated
Compiler: Compiled 17 139 to 1 810 computations (89.4% saved)

prune11.0ms (0.3%)

Memory

1.2MiB live, 37.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	632	2	634
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	635	2	637

Accuracy

100.0%

Counts

637 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

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

▶

11.1%

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

simplify73.0ms (1.7%)

Memory

-38.8MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.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)) (* (* y y) (- (* y y) 2))) #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	24	111
0	35	111
1	70	105
2	139	98
3	288	98
4	460	98
5	627	98
6	908	98
7	1395	98
8	1617	98
9	1680	98
10	1692	98
11	1694	98
12	1696	98
0	1696	96

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize46.0ms (1.1%)

Memory

10.6MiB live, 86.4MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

35.0ms

256×

valid

Compiler

Compiled 203 to 50 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (56.1% of total)

ival-pow: 4.0ms (16% of total)

ival-add: 3.0ms (12% of total)

ival-sub: 2.0ms (8% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

9 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify107.0ms (2.6%)

Memory

-14.4MiB live, 137.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	180
1	131	178
2	313	175
3	869	175
4	2308	175
5	6667	175
0	8328	167

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite169.0ms (4.1%)

Memory

18.7MiB live, 253.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	93
0	35	85
1	149	85
2	941	84
0	9063	82

Stop Event

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

Counts

9 → 232

Calls

Call 1

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

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 #s(literal 2 binary64) (.f64 y y))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 #s(literal 2 binary64) (.f64 y y)))
(.f64 (.f64 #s(literal -2 binary64) (neg.f64 y)) y)
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 y))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y)))
(.f64 #s(literal -2 binary64) (.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) y) #s(literal -2 binary64))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 y (neg.f64 (.f64 (neg.f64 y) #s(literal 2 binary64))))
(.f64 y (.f64 #s(literal 2 binary64) y))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 y y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.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 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)) (.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 6 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 y y))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (.f64 (neg.f64 y) #s(literal 0 binary64)) (.f64 y y))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y y))
(.f64 (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (neg.f64 (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.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) (neg.f64 y))) #s(literal -1 binary64)))
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(.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)))

eval37.0ms (0.9%)

Memory: 6.9MiB live, 82.6MiB allocated
Compiler: Compiled 8 976 to 859 computations (90.4% saved)

prune46.0ms (1.1%)

Memory

-7.8MiB live, 50.9MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	280	2	282

Accuracy

100.0%

Counts

282 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

11.1%

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

Compiler

Compiled 175 to 71 computations (59.4% saved)

regimes15.0ms (0.4%)

Memory

-7.0MiB live, 30.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
2.0ms	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
2.0ms	(*.f64 y y)
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Results

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

Compiler

Compiled 37 to 34 computations (8.1% saved)

regimes8.0ms (0.2%)

Memory

-20.2MiB live, 18.4MiB allocated

Accuracy

Total -5.1b remaining (-9%)

Threshold costs -5.1b (-9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

2.0ms	x
1.0ms	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))

Results

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

Compiler

Compiled 37 to 34 computations (8.1% saved)

simplify90.0ms (2.2%)

Memory

27.0MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	51
1	45	51
2	90	51
3	218	51
4	457	51
5	729	51
6	2057	51
7	5962	51

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

soundness599.0ms (14.4%)

Memory

25.6MiB live, 409.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	97	143
2	250	141
3	708	141
4	2466	141
5	6294	141
0	8422	132
0	59	216
1	162	211
2	407	208
3	1207	208
4	3238	208
5	6035	208
0	8117	200
0	11	40
0	17	40
1	62	40
2	419	40
3	4784	40
0	8849	37
0	25	101
0	41	101
1	148	98
2	997	98
0	9247	94

Stop Event

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

Compiler

Compiled 136 to 68 computations (50% saved)

preprocess24.0ms (0.6%)

Memory

2.9MiB live, 38.4MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 204 to 118 computations (42.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (36.7%)

explain309.0ms (7.5%)

preprocess144.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.6%)

localize27.0ms (0.6%)

series8.0ms (0.2%)

simplify104.0ms (2.5%)

rewrite180.0ms (4.3%)

eval41.0ms (1%)

prune7.0ms (0.2%)

simplify53.0ms (1.3%)

localize71.0ms (1.7%)

series10.0ms (0.3%)

simplify150.0ms (3.6%)

rewrite174.0ms (4.2%)

eval85.0ms (2%)

prune11.0ms (0.3%)

simplify73.0ms (1.7%)

localize46.0ms (1.1%)

series7.0ms (0.2%)

simplify107.0ms (2.6%)

rewrite169.0ms (4.1%)

eval37.0ms (0.9%)

prune46.0ms (1.1%)

regimes15.0ms (0.4%)

regimes8.0ms (0.2%)

simplify90.0ms (2.2%)

soundness599.0ms (14.4%)

preprocess24.0ms (0.6%)

end0.0ms (0%)

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