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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.5%)

Memory

4.3MiB live, 4.3MiB 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)

sample497.0ms (23.4%)

Memory

186.6MiB live, 186.6MiB allocated

Samples

295.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 57.0ms (36.9% of total)

ival-div: 49.0ms (31.7% of total)

ival-sub: 35.0ms (22.6% of total)

ival-true: 6.0ms (3.9% of total)

exact: 5.0ms (3.2% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain75.0ms (3.5%)

Memory

38.5MiB live, 38.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
28	1	(1.0576358550717808e+210 -2.1333413511028702e+266)	-	`(/.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	62

Confusion

	Predicted +	Predicted -
+	14	0
-	0	242

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	0	0	242

Precision?

1.0

Recall?

1.0

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

22.0ms

512×

valid

Compiler

Compiled 83 to 35 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39.4% of total)

ival-div: 3.0ms (29.6% of total)

ival-sub: 2.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess39.0ms (1.8%)

Memory

5.7MiB live, 5.7MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB 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)

localize15.0ms (0.7%)

Memory

6.7MiB live, 6.7MiB 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	6.392778551990458	(/.f64 x (*.f64 y y))

Samples

10.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (42.3% of total)

ival-mult: 2.0ms (42.3% of total)

ival-sub: 1.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

2.2MiB live, 2.2MiB 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))

simplify113.0ms (5.3%)

Memory

12.6MiB live, 12.6MiB 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)

rewrite106.0ms (5%)

Memory

42.6MiB live, 42.6MiB 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

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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eval21.0ms (1%)

Memory: 19.7MiB live, 19.7MiB allocated
Compiler: Compiled 6 183 to 669 computations (89.2% saved)

prune6.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	225	6	231
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	7	232

Accuracy

100.0%

Counts

232 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
▶	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
	99.9%	(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	94.8%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
▶	50.1%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 107 to 96 computations (10.3% saved)

simplify43.0ms (2%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal -2 binary64))
cost-diff	0	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
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	#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	24	96
0	40	88
1	65	88
2	118	88
3	223	88
4	337	88
5	822	88
6	1752	88
7	2086	88
8	2185	88
9	2205	88
10	2215	88
11	2221	88
12	2223	88
0	2223	88

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

localize53.0ms (2.5%)

Memory

24.1MiB live, 24.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 y #s(literal -2 binary64))
accuracy	3.3028679727785444	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
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	0.16796875	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.3682266374495674	(/.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	0.08984375	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	31.95008669035585	#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	0.1171875	(/.f64 (/.f64 x y) y)

Samples

39.0ms

256×

valid

Compiler

Compiled 194 to 52 computations (73.2% saved)

Precisions

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

ival-div: 11.0ms (41.3% of total)

ival-mult: 6.0ms (22.5% of total)

ival-sub: 3.0ms (11.3% of total)

ival-pow: 3.0ms (11.3% of total)

ival-add: 2.0ms (7.5% of total)

ival-neg: 2.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.5%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

14 → 13

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))
(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)
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
(pow.f64 y #s(literal -2 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (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) (+ (* (pow y -2) x) -3) (pow y -2))
2.0ms	x	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (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) (+ (* (pow y -2) x) -3) (pow y -2))
2.0ms	x	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (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) (+ (* (pow y -2) x) -3) (pow y -2))
2.0ms	y	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (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) (+ (* (pow y -2) x) -3) (pow y -2))
1.0ms	y	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (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) (+ (* (pow y -2) x) -3) (pow y -2))

simplify122.0ms (5.7%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	59
1	60	59
2	129	59
3	301	59
4	579	59
5	1040	59
6	1648	59
7	2253	59
8	2919	59
9	3262	59
10	3647	59
11	3883	59
12	4065	59
13	4538	59
14	5351	59
15	6091	59
16	7391	59
0	8124	59

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite85.0ms (4%)

Memory

35.1MiB live, 35.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	77
0	40	70
1	171	65
2	1305	65
0	8962	65

Stop Event

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

Counts

14 → 595

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))
(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)
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
(pow.f64 y #s(literal -2 binary64))

Outputs
(*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 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 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal -4 binary64)) #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 (/.f64 x y) y) (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 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #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 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #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 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #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 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #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 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal -4 binary64)) #s(literal -9 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
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eval33.0ms (1.5%)

Memory: 30.3MiB live, 30.3MiB allocated
Compiler: Compiled 4 852 to 995 computations (79.5% saved)

prune5.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	335	3	338
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	338	7	345

Accuracy

100.0%

Counts

345 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
▶	94.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
✓	94.8%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	50.1%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify29.0ms (1.4%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	-192	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
cost-diff	832	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
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: 1 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	31	78
1	53	68
2	91	68
3	205	68
4	408	68
5	665	68
6	912	68
7	1048	68
8	1067	68
9	1082	68
10	1083	68
0	1083	68

Stop Event

1×	iter limit
1×	saturated
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)
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
#s(literal 3 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
#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)
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
#s(literal 3 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
#s(literal -3 binary64)

localize49.0ms (2.3%)

Memory

18.9MiB live, 18.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.5211110411300577	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	3.3028679727785444	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.15234375	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
accuracy	0.16796875	(*.f64 (/.f64 y x) y)
accuracy	0.3682266374495674	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Samples

35.0ms

256×

valid

Compiler

Compiled 161 to 39 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (46.9% of total)

ival-mult: 5.0ms (23.4% of total)

ival-sub: 3.0ms (14.1% of total)

ival-add: 1.0ms (4.7% of total)

exact: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

series9.0ms (0.4%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

12 → 13

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

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

Calls

6 calls:

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

simplify126.0ms (5.9%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	59
1	53	59
2	119	59
3	273	59
4	514	59
5	886	59
6	1421	59
7	2080	59
8	2825	59
9	3168	59
10	3553	59
11	3787	59
12	3967	59
13	4429	59
14	5242	59
15	5982	59
16	7282	59
0	8075	59

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite120.0ms (5.6%)

Memory

37.9MiB live, 37.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	31	66
1	128	51
2	1016	51
3	7790	51
0	8447	51

Stop Event

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

Counts

12 → 640

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

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

eval54.0ms (2.5%)

Memory: 37.0MiB live, 37.0MiB allocated
Compiler: Compiled 6 647 to 1 328 computations (80% saved)

prune14.0ms (0.6%)

Memory

16.9MiB live, 16.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	409	0	409
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	409	7	416

Accuracy

100.0%

Counts

416 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	94.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
✓	94.8%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	99.9%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	50.1%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 143 to 92 computations (35.7% saved)

regimes19.0ms (0.9%)

Memory

9.7MiB live, 9.7MiB 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))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #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 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64))

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

Calls

5 calls:

4.0ms	y
4.0ms	x
4.0ms	(*.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)

regimes11.0ms (0.5%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
94.8%	1	`x`
94.8%	1	`y`
94.8%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
94.8%	1	`(/.f64 x (*.f64 y y))`
94.8%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.4%)

Memory

6.4MiB live, 6.4MiB 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:

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

Results

Accuracy	Segments	Branch
50.1%	1	`x`
50.1%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
50.1%	1	`(/.f64 x (*.f64 y y))`
50.1%	1	`(*.f64 y y)`
50.1%	1	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

simplify27.0ms (1.3%)

Memory

18.0MiB live, 18.0MiB 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))

soundness381.0ms (17.9%)

Memory

1.2MiB live, 1.2MiB allocated

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

Stop Event

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

preprocess36.0ms (1.7%)

Memory: 19.3MiB live, 19.3MiB 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%)

analyze11.0ms (0.5%)

sample497.0ms (23.4%)

explain75.0ms (3.5%)

preprocess39.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize15.0ms (0.7%)

series4.0ms (0.2%)

simplify113.0ms (5.3%)

rewrite106.0ms (5%)

eval21.0ms (1%)

prune6.0ms (0.3%)

simplify43.0ms (2%)

localize53.0ms (2.5%)

series11.0ms (0.5%)

simplify122.0ms (5.7%)

rewrite85.0ms (4%)

eval33.0ms (1.5%)

prune5.0ms (0.2%)

simplify29.0ms (1.4%)

localize49.0ms (2.3%)

series9.0ms (0.4%)

simplify126.0ms (5.9%)

rewrite120.0ms (5.6%)

eval54.0ms (2.5%)

prune14.0ms (0.6%)

regimes19.0ms (0.9%)

regimes11.0ms (0.5%)

regimes8.0ms (0.4%)

simplify27.0ms (1.3%)

soundness381.0ms (17.9%)

preprocess36.0ms (1.7%)

end0.0ms (0%)

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