Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze26.0ms (0.6%)

Memory

-26.6MiB live, 12.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (22.7%)

Memory

-16.4MiB live, 863.4MiB allocated

Samples

526.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-mult: 95.0ms (45% of total)

ival-div: 64.0ms (30.3% of total)

ival-sub: 38.0ms (18% of total)

ival-true: 6.0ms (2.8% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain128.0ms (2.7%)

Memory

-24.1MiB live, 132.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
33	-	2	(-5.5856396900915105e-61 -2.5474381483519265e-159)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	14	0
↳	`(*.f64 y y)`	underflow	64

Confusion

	Predicted +	Predicted -
+	14	2
-	0	240

Precision

1.0

Recall

0.875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	2
-	0	0	240

Precision?

1.0

Recall?

0.875

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 83 to 35 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (35.8% of total)

ival-mult: 4.0ms (35.8% of total)

ival-sub: 2.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess47.0ms (1%)

Memory

-1.2MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	43	37
2	115	35
3	300	35
4	666	35
5	1065	35
6	1542	35
7	1605	35
8	1629	35
9	1648	35
10	1652	35
0	6	7
0	9	7
1	14	7
2	15	7
0	15	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	15	18
0	15	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

localize18.0ms (0.4%)

Memory

3.6MiB live, 42.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy	0	(*.f64 y y)
accuracy	7.517168953699128	(/.f64 x (*.f64 y y))

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (47% of total)

ival-div: 2.0ms (31.3% of total)

ival-sub: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

3 → 7

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)

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

Calls

6 calls:

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

simplify144.0ms (3.1%)

Memory

-22.4MiB live, 106.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	43	37
2	103	37
3	250	37
4	472	37
5	785	37
6	1173	37
7	1851	37
8	2668	37
9	3300	37
10	3790	37
11	4044	37
12	4227	37
13	4680	37
14	5469	37
15	6131	37
16	7341	37
0	8047	37

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite147.0ms (3.1%)

Memory

2.5MiB live, 197.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14

Stop Event

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

Counts

3 → 227

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)

Outputs
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) (/.f64 (.f64 y y) x)) #s(literal 9 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y))))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) #s(literal -81 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -8 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal 81 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -18 binary64)) (pow.f64 x #s(literal 9 binary64)) #s(literal -19683 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -12 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 729 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (pow.f64 y #s(literal -4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -6 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) x) #s(literal -6 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))))))
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(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
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(+.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
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(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (neg.f64 x) (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 x) y))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) (/.f64 y x)))))
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y))
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y)
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
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(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
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(pow.f64 (*.f64 y y) #s(literal 1 binary64))
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(/.f64 (neg.f64 y) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
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(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval26.0ms (0.5%)

Memory: 6.5MiB live, 44.1MiB allocated
Compiler: Compiled 6 183 to 669 computations (89.2% saved)

prune8.0ms (0.2%)

Memory

-16.2MiB live, 22.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	226	5	231
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	226	6	232

Accuracy

100.0%

Counts

232 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	94.5%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	94.5%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
▶	99.8%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
▶	48.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 95 to 84 computations (11.6% saved)

simplify37.0ms (0.8%)

Memory

-2.9MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) (/.f64 y x))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
cost-diff	448	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	320	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff	0	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) y)
cost-diff	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	111
0	43	99
1	71	99
2	126	99
3	239	99
4	551	99
5	1264	99
6	2084	99
7	2115	99
8	2138	99
9	2154	99
0	2154	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 3 binary64)
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal -3 binary64)
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
#s(literal -1 binary64)
(*.f64 (neg.f64 y) (/.f64 y x))
(neg.f64 y)
y
(/.f64 y x)
x
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 x y) y)
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 3 binary64)
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal -3 binary64)
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (/.f64 x y) y)
#s(literal -1 binary64)
(*.f64 (neg.f64 y) (/.f64 y x))
(neg.f64 y)
y
(/.f64 y x)
x
#s(literal 3 binary64)

localize86.0ms (1.8%)

Memory

30.4MiB live, 68.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.140625	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.4891268263651626	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.09765625	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
accuracy	0	(*.f64 y y)
accuracy	0.4891268263651626	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy	7.516944574936208	(/.f64 (*.f64 y y) x)
accuracy	33.07283916358343	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.1328125	(/.f64 (/.f64 x y) y)

Samples

71.0ms

256×

valid

Compiler

Compiled 223 to 54 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-neg: 30.0ms (54% of total)

ival-div: 15.0ms (27% of total)

ival-mult: 5.0ms (9% of total)

ival-sub: 4.0ms (7.2% of total)

ival-add: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.5%)

Memory

-21.1MiB live, 16.9MiB allocated

Counts

16 → 14

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(*.f64 (neg.f64 y) (/.f64 y x))
(neg.f64 y)

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ 1 (/ (* y y) x)) (- (/ 1 (/ (* y y) x)) 3) (/ (* y y) x) (* y y) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
3.0ms	y	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ 1 (/ (* y y) x)) (- (/ 1 (/ (* y y) x)) 3) (/ (* y y) x) (* y y) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
2.0ms	x	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ 1 (/ (* y y) x)) (- (/ 1 (/ (* y y) x)) 3) (/ (* y y) x) (* y y) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
2.0ms	x	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ 1 (/ (* y y) x)) (- (/ 1 (/ (* y y) x)) 3) (/ (* y y) x) (* y y) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))
2.0ms	y	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ 1 (/ (* y y) x)) (- (/ 1 (/ (* y y) x)) 3) (/ (* y y) x) (* y y) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (neg y) (/ y x))) (- (/ -1 (* (neg y) (/ y x))) 3) (* (neg y) (/ y x)) (neg y))

simplify139.0ms (3%)

Memory

20.6MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	62
1	60	62
2	129	62
3	302	62
4	582	62
5	1047	62
6	1653	62
7	2251	62
8	2973	62
9	3316	62
10	3703	62
11	3933	62
12	4117	62
13	4597	62
14	5410	62
15	6150	62
16	7449	62
0	8074	62

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite164.0ms (3.5%)

Memory

-13.9MiB live, 100.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	92
0	43	80
1	178	80
2	1249	80
0	8849	75

Stop Event

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

Counts

16 → 638

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(*.f64 (neg.f64 y) (/.f64 y x))
(neg.f64 y)

Outputs
(*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (.f64 x #s(literal -3 binary64))) (*.f64 y y)))))
(.f64 (fma.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x 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 (*.f64 (neg.f64 y) y) y)
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 y #s(literal -1 binary64))
(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 #s(literal 0 binary64) (/.f64 (*.f64 y y) y))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval45.0ms (1%)

Memory: 16.0MiB live, 53.6MiB allocated
Compiler: Compiled 5 216 to 1 133 computations (78.3% saved)

prune59.0ms (1.3%)

Memory

-20.5MiB live, 32.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	356	2	358
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	358	6	364

Accuracy

100.0%

Counts

364 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	94.5%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	48.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 56 to 47 computations (16.1% saved)

simplify116.0ms (2.5%)

Memory

27.7MiB live, 101.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (*.f64 x x))
cost-diff	0	(/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y)
cost-diff	320	(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
cost-diff	7104	(.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	29	72
1	55	72
2	122	60
3	466	54
4	1396	54
5	3448	54
6	4848	54
7	5997	54
8	6815	54
0	8092	54

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y)
(.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -3 binary64)

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

localize108.0ms (2.3%)

Memory

-32.8MiB live, 89.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (*.f64 x x))
accuracy	0.09765625	(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	30.731072916278027	(.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
accuracy	0.140625	(*.f64 (/.f64 y x) y)
accuracy	0.4891268263651626	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Samples

52.0ms

256×

valid

Compiler

Compiled 159 to 37 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 16.0ms (41.6% of total)

ival-pow: 12.0ms (31.2% of total)

ival-div: 7.0ms (18.2% of total)

ival-add: 1.0ms (2.6% of total)

ival-sub: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

9 → 12

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y)
(neg.f64 (*.f64 x x))
(*.f64 x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ 1 (* (/ y x) y)) (- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (* (neg (* x x)) (pow x -1)) (+ (* (/ (* (neg (* x x)) (pow x -1)) y) (/ -1 y)) -3) (/ (* (neg (* x x)) (pow x -1)) y) (neg (* x x)) (* x x))
2.0ms	x	@	0	((/ 1 (* (/ y x) y)) (- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (* (neg (* x x)) (pow x -1)) (+ (* (/ (* (neg (* x x)) (pow x -1)) y) (/ -1 y)) -3) (/ (* (neg (* x x)) (pow x -1)) y) (neg (* x x)) (* x x))
1.0ms	x	@	inf	((/ 1 (* (/ y x) y)) (- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (* (neg (* x x)) (pow x -1)) (+ (* (/ (* (neg (* x x)) (pow x -1)) y) (/ -1 y)) -3) (/ (* (neg (* x x)) (pow x -1)) y) (neg (* x x)) (* x x))
1.0ms	y	@	inf	((/ 1 (* (/ y x) y)) (- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (* (neg (* x x)) (pow x -1)) (+ (* (/ (* (neg (* x x)) (pow x -1)) y) (/ -1 y)) -3) (/ (* (neg (* x x)) (pow x -1)) y) (neg (* x x)) (* x x))
1.0ms	y	@	0	((/ 1 (* (/ y x) y)) (- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (* (neg (* x x)) (pow x -1)) (+ (* (/ (* (neg (* x x)) (pow x -1)) y) (/ -1 y)) -3) (/ (* (neg (* x x)) (pow x -1)) y) (neg (* x x)) (* x x))

simplify236.0ms (5%)

Memory

-4.8MiB live, 72.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	55
1	57	55
2	124	55
3	277	55
4	530	55
5	926	55
6	1404	55
7	2059	55
8	2847	55
9	3190	55
10	3579	55
11	3809	55
12	4210	55
13	4773	55
14	4938	55
15	5666	55
16	5977	55
17	6235	55
18	6461	55
19	6778	55
20	6920	55
21	7016	55
22	7268	55
23	7400	55
24	7440	55
25	7448	55
0	8709	55

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite179.0ms (3.8%)

Memory

13.0MiB live, 131.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	29	58
1	116	44
2	795	40
0	8001	38

Stop Event

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

Counts

9 → 673

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y)
(neg.f64 (*.f64 x x))
(*.f64 x x)

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

eval555.0ms (11.8%)

Memory: 0.2MiB live, 118.9MiB allocated
Compiler: Compiled 9 252 to 1 712 computations (81.5% saved)

prune27.0ms (0.6%)

Memory

-10.8MiB live, 28.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	539	2	541
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	540	7	547

Accuracy

100.0%

Counts

547 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
▶	81.1%	(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
▶	69.6%	(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
✓	94.5%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	48.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify260.0ms (5.5%)

Memory

6.6MiB live, 125.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
cost-diff	1024	(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
cost-diff	640	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
0	23	68
1	46	60
2	76	52
3	92	52
4	246	52
5	884	52
6	2249	52
7	2618	52
8	2874	52
9	3201	52
10	3636	52
11	4192	52
12	4755	52
13	5005	52
14	5279	52
15	5357	52
16	5436	52
17	5881	52
18	6875	52
19	7293	52
20	7463	52
21	7561	52
22	7641	52
23	7721	52
24	7801	52
25	7931	52
0	8005	52

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(*.f64 x x)
x
(.f64 (.f64 y y) x)
(*.f64 y y)
y
#s(literal 3 binary64)
(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(*.f64 x y)
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(/.f64 x (*.f64 y y))
(*.f64 x x)
x
(.f64 (.f64 y y) x)
(*.f64 y y)
y
#s(literal 3 binary64)
(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(*.f64 x y)
(*.f64 y x)
#s(literal 3 binary64)

localize35.0ms (0.7%)

Memory

-5.4MiB live, 71.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.12890625	(*.f64 (/.f64 x y) x)
accuracy	17.00835670491783	(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	6.3855325325020305	(.f64 (.f64 y y) x)
accuracy	23.80049156269132	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))

Samples

25.0ms

256×

valid

Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (54.1% of total)

ival-div: 4.0ms (27% of total)

ival-sub: 2.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

10 → 12

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 y y) x)
(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(*.f64 y y)
(*.f64 x y)

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

Calls

6 calls:

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

simplify189.0ms (4%)

Memory

-16.3MiB live, 105.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	51	56
2	113	56
3	261	56
4	489	56
5	849	56
6	1402	56
7	2226	56
8	3166	56
9	3603	56
10	3852	56
11	4108	56
12	4354	56
13	4752	56
14	5164	56
15	5268	56
16	5316	56
17	5404	56
18	5448	56
19	5500	56
20	5980	56
21	6239	56
22	6410	56
23	7641	56
0	8272	56

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite162.0ms (3.5%)

Memory

10.8MiB live, 250.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
0	23	62
1	95	46
2	808	46
3	7827	46
0	8855	44

Stop Event

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

Counts

10 → 660

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 y y) x)
(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(*.f64 y y)
(*.f64 x y)

Outputs
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 (/.f64 x y) (neg.f64 x)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 (*.f64 x x) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 y y)) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (/.f64 (neg.f64 x) y) y))
(.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 y x)))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) x) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 x) y) (.f64 y x)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 (*.f64 y y) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (.f64 y y)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) (.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
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(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))))))
(+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(.f64 (.f64 (*.f64 x x) (/.f64 x y)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 x) x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 x y) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(.f64 (.f64 (/.f64 x y) x) #s(literal 1 binary64))
(*.f64 (/.f64 x y) x)
(.f64 (.f64 x x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 x y))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) (/.f64 (neg.f64 x) y)) (neg.f64 x))
(/.f64 (.f64 x (/.f64 (.f64 (neg.f64 x) x) y)) (neg.f64 x))
(/.f64 (.f64 (.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 y) x))
(/.f64 (.f64 (.f64 x x) (/.f64 x y)) x)
(/.f64 (.f64 x (.f64 (/.f64 x y) x)) x)
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) y)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 x) x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 x) y) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (/.f64 x y) x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 x y) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 x y) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 x y) (.f64 (pow.f64 x #s(literal -1 binary64)) x))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 x x) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) x)
(/.f64 (.f64 x x) (.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(.f64 (.f64 x (.f64 y x)) (.f64 (pow.f64 x #s(literal -2 binary64)) y))
(.f64 (/.f64 (.f64 y x) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1 binary64))) (/.f64 y x))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (/.f64 y x) y))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (/.f64 (.f64 (/.f64 y x) y) x) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(.f64 (.f64 (/.f64 (neg.f64 y) x) y) (neg.f64 x))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 y x) y) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 y x) y) x)
(*.f64 (/.f64 y x) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y x) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 y x) (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y x) (/.f64 y x))
(.f64 (.f64 (.f64 y y) x) (.f64 (pow.f64 x #s(literal -2 binary64)) x))
(.f64 (.f64 (*.f64 y y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 y y) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(.f64 (.f64 x x) (/.f64 (*.f64 (/.f64 y x) y) x))
(.f64 x (.f64 (/.f64 y x) y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 x (.f64 (neg.f64 y) x)) (/.f64 (*.f64 (neg.f64 x) x) y))
(/.f64 (.f64 x (.f64 y x)) (*.f64 (/.f64 x y) x))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) x)
(/.f64 (/.f64 (*.f64 y x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x x))
(/.f64 (*.f64 (/.f64 y x) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 x) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) (neg.f64 x))
(/.f64 (*.f64 y x) (/.f64 x y))
(/.f64 (.f64 (.f64 y y) x) x)
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(/.f64 x (/.f64 (/.f64 x y) y))
(neg.f64 (/.f64 (*.f64 y x) (/.f64 (neg.f64 x) y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y (/.f64 x #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))

eval53.0ms (1.1%)

Memory: -1.9MiB live, 109.3MiB allocated
Compiler: Compiled 7 379 to 1 245 computations (83.1% saved)

prune18.0ms (0.4%)

Memory

-13.9MiB live, 32.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	423	0	423
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	423	7	430

Accuracy

100.0%

Counts

430 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	81.1%	(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
✓	69.6%	(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
✓	94.5%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	48.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 160 to 97 computations (39.4% saved)

regimes17.0ms (0.4%)

Memory

32.5MiB live, 32.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Calls

5 calls:

4.0ms	y
4.0ms	x
3.0ms	(*.f64 y y)
3.0ms	(/.f64 x (*.f64 y y))
3.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes12.0ms (0.3%)

Memory

-19.7MiB live, 18.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Calls

5 calls:

6.0ms	(*.f64 y y)
2.0ms	x
2.0ms	y
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
94.5%	1	`x`
94.5%	1	`y`
94.5%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
94.5%	1	`(/.f64 x (*.f64 y y))`
94.5%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
48.3%	1	`(*.f64 y y)`
48.3%	1	`x`
48.3%	1	`y`
48.3%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
48.3%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 17 to 17 computations (0% saved)

simplify28.0ms (0.6%)

Memory

-25.7MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
2	23	23
3	25	23
4	26	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness443.0ms (9.4%)

Memory

18.0MiB live, 220.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	288	15
3	3249	15
0	8174	14
0	21	37
1	43	37
2	103	37
3	250	37
4	472	37
5	785	37
6	1173	37
7	1851	37
8	2668	37
9	3300	37
10	3790	37
11	4044	37
12	4227	37
13	4680	37
14	5469	37
15	6131	37
16	7341	37
0	8047	37

Stop Event

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

preprocess61.0ms (1.3%)

Memory: 10.8MiB live, 49.1MiB allocated
Remove: (abs y)
Compiler: Compiled 102 to 78 computations (23.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze26.0ms (0.6%)

sample1.1s (22.7%)

explain128.0ms (2.7%)

preprocess47.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.4%)

series5.0ms (0.1%)

simplify144.0ms (3.1%)

rewrite147.0ms (3.1%)

eval26.0ms (0.5%)

prune8.0ms (0.2%)

simplify37.0ms (0.8%)

localize86.0ms (1.8%)

series25.0ms (0.5%)

simplify139.0ms (3%)

rewrite164.0ms (3.5%)

eval45.0ms (1%)

prune59.0ms (1.3%)

simplify116.0ms (2.5%)

localize108.0ms (2.3%)

series8.0ms (0.2%)

simplify236.0ms (5%)

rewrite179.0ms (3.8%)

eval555.0ms (11.8%)

prune27.0ms (0.6%)

simplify260.0ms (5.5%)

localize35.0ms (0.7%)

series10.0ms (0.2%)

simplify189.0ms (4%)

rewrite162.0ms (3.5%)

eval53.0ms (1.1%)

prune18.0ms (0.4%)

regimes17.0ms (0.4%)

regimes12.0ms (0.3%)

regimes6.0ms (0.1%)

simplify28.0ms (0.6%)

soundness443.0ms (9.4%)

preprocess61.0ms (1.3%)

end0.0ms (0%)

Profiling