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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB 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 (23.7%)

Memory

-8.3MiB live, 771.3MiB allocated

Samples

683.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-div: 146.0ms (43.5% of total)

ival-sub: 115.0ms (34.3% of total)

ival-mult: 61.0ms (18.2% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain69.0ms (1.5%)

Memory

-7.1MiB live, 119.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
39	-	2	(1.8189665413247648e-283 1.3515383412078428e-161)	`(/.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	13	0
↳	`(*.f64 y y)`	underflow	52

Confusion

	Predicted +	Predicted -
+	13	2
-	0	241

Precision

1.0

Recall

0.8666666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	2
-	0	0	241

Precision?

1.0

Recall?

0.8666666666666667

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 4.0ms (38.4% of total)

ival-div: 3.0ms (28.8% of total)

ival-sub: 2.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess61.0ms (1.3%)

Memory

-0.0MiB live, 37.7MiB 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	671	35
5	1072	35
6	1538	35
7	1602	35
8	1626	35
9	1648	35
10	1653	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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB 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)

localize16.0ms (0.3%)

Memory

24.2MiB live, 24.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	8.971286144933634	(/.f64 x (*.f64 y y))

Samples

11.0ms

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 (41% of total)

ival-mult: 2.0ms (41% of total)

ival-sub: 1.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.5%)

Memory

-29.4MiB live, 15.3MiB 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
15.0ms	y	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
3.0ms	y	@	inf	((- (/ 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	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	x	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))

simplify126.0ms (2.7%)

Memory

20.6MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	43	37
2	107	37
3	256	37
4	490	37
5	809	37
6	1203	37
7	1925	37
8	2807	37
9	3518	37
10	4087	37
11	4341	37
12	4523	37
13	5005	37
14	5839	37
15	6501	37
16	7709	37
0	8011	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)

rewrite176.0ms (3.8%)

Memory

-18.5MiB live, 148.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	288	15
3	3251	15
0	8177	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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eval49.0ms (1.1%)

Memory: 14.3MiB live, 49.6MiB allocated
Compiler: Compiled 6 183 to 669 computations (89.2% saved)

prune6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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
▶	94.3%	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
▶	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
	99.8%	(-.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))
✓	94.6%	(-.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)

simplify87.0ms (1.9%)

Memory

-26.9MiB live, 62.7MiB 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	340	88
5	828	88
6	1803	88
7	2175	88
8	2287	88
9	2308	88
10	2318	88
11	2327	88
12	2330	88
0	2330	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)

localize106.0ms (2.3%)

Memory

12.6MiB live, 88.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal -2 binary64))
accuracy	3.652725337777813	(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64))
accuracy	0.0	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 y)
accuracy	0.13671875	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.2210063196659862	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.10546875	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	31.95764669023774	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.1484375	(/.f64 (/.f64 x y) y)

Samples

51.0ms

256×

valid

Compiler

Compiled 194 to 52 computations (73.2% saved)

Precisions

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

ival-div: 11.0ms (39.2% of total)

ival-mult: 6.0ms (21.4% of total)

ival-sub: 3.0ms (10.7% of total)

ival-pow: 3.0ms (10.7% of total)

ival-add: 2.0ms (7.1% of total)

ival-neg: 2.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory

-28.3MiB live, 14.8MiB 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
10.0ms	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	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))

simplify154.0ms (3.3%)

Memory

11.1MiB live, 84.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	59
1	60	59
2	133	59
3	307	59
4	597	59
5	1072	59
6	1677	59
7	2339	59
8	3138	59
9	3513	59
10	3955	59
11	4187	59
12	4370	59
13	4889	59
14	5752	59
15	6492	59
16	7796	59
0	8076	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))

rewrite196.0ms (4.2%)

Memory

21.5MiB live, 104.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	77
0	40	70
1	171	65
2	1305	65
0	8989	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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eval82.0ms (1.8%)

Memory: -11.3MiB live, 62.1MiB allocated
Compiler: Compiled 4 852 to 995 computations (79.5% saved)

prune6.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	334	4	338
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	337	8	345

Accuracy

100.0%

Counts

345 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)) #s(literal -3 binary64))
✓	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
▶	94.3%	(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))
▶	99.8%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
✓	94.6%	(-.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 71 to 60 computations (15.5% saved)

simplify53.0ms (1.1%)

Memory

-15.6MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	-5760	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
cost-diff	13248	(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)) #s(literal -3 binary64))
cost-diff	-5440	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	128	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
cost-diff	-5056	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	41	104
1	70	92
2	119	92
3	243	92
4	486	86
5	918	86
6	1550	86
7	1712	86
8	1763	86
9	1786	86
10	1788	86
11	1788	86
0	1788	86

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

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

localize99.0ms (2.2%)

Memory

0.0MiB live, 86.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal -1/2 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.10384750976844201	(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)) #s(literal -3 binary64))
accuracy	0.25228500976844204	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))
accuracy	0.0	(*.f64 y y)
accuracy	0.32864079849897837	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	3.652725337777813	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
accuracy	0.0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.0	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 y)
accuracy	0.2584762695368841	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
accuracy	0.13671875	(*.f64 (/.f64 y x) y)
accuracy	0.2210063196659862	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Samples

80.0ms

256×

valid

Compiler

Compiled 220 to 50 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 21.0ms (32.1% of total)

ival-neg: 21.0ms (32.1% of total)

ival-div: 12.0ms (18.3% of total)

ival-pow: 6.0ms (9.2% of total)

ival-add: 2.0ms (3.1% of total)

ival-sub: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

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

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

series32.0ms (0.7%)

Memory

-7.5MiB live, 31.3MiB allocated

Counts

16 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	0	((- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (/ 1 (* (/ y x) y)) (- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (+ (* (/ 1 (* y y)) x) -3) (* y y) (/ 1 (* y y)) (+ (* (pow y -1/2) (* (pow y -1/2) (/ x y))) -3) (pow y -1/2) (/ x y) (* (pow y -1/2) (/ x y)) (/ (/ -1 y) (/ (neg y) x)))
4.0ms	y	@	-inf	((- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (/ 1 (* (/ y x) y)) (- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (+ (* (/ 1 (* y y)) x) -3) (* y y) (/ 1 (* y y)) (+ (* (pow y -1/2) (* (pow y -1/2) (/ x y))) -3) (pow y -1/2) (/ x y) (* (pow y -1/2) (/ x y)) (/ (/ -1 y) (/ (neg y) x)))
3.0ms	x	@	0	((- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (/ 1 (* (/ y x) y)) (- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (+ (* (/ 1 (* y y)) x) -3) (* y y) (/ 1 (* y y)) (+ (* (pow y -1/2) (* (pow y -1/2) (/ x y))) -3) (pow y -1/2) (/ x y) (* (pow y -1/2) (/ x y)) (/ (/ -1 y) (/ (neg y) x)))
2.0ms	y	@	inf	((- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (/ 1 (* (/ y x) y)) (- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (+ (* (/ 1 (* y y)) x) -3) (* y y) (/ 1 (* y y)) (+ (* (pow y -1/2) (* (pow y -1/2) (/ x y))) -3) (pow y -1/2) (/ x y) (* (pow y -1/2) (/ x y)) (/ (/ -1 y) (/ (neg y) x)))
2.0ms	x	@	-inf	((- (/ 1 (* (/ y x) y)) 3) (* (/ y x) y) (/ y x) (/ 1 (* (/ y x) y)) (- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (+ (* (/ 1 (* y y)) x) -3) (* y y) (/ 1 (* y y)) (+ (* (pow y -1/2) (* (pow y -1/2) (/ x y))) -3) (pow y -1/2) (/ x y) (* (pow y -1/2) (/ x y)) (/ (/ -1 y) (/ (neg y) x)))

simplify172.0ms (3.7%)

Memory

-1.5MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	107
1	84	100
2	219	99
3	534	99
4	2241	99
5	4317	99
6	5968	99
7	6676	99
8	7514	99
9	7807	99
10	7912	99
0	8216	98

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite215.0ms (4.7%)

Memory

27.2MiB live, 101.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	92
0	41	76
1	163	70
2	1284	68
0	8764	68

Stop Event

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

Counts

16 → 945

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 2 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 (.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)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (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 -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 (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)))
(/.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)) (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 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) 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))) (/.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) 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)))) (.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 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 (/.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) 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))) (/.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 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #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 (pow.f64 y #s(literal -2 binary64)) x) #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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eval477.0ms (10.4%)

Memory: -0.8MiB live, 117.8MiB allocated
Compiler: Compiled 8 999 to 1 774 computations (80.3% saved)

prune178.0ms (3.9%)

Memory

-5.1MiB live, 32.3MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	597	2	599
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	598	9	607

Accuracy

100.0%

Counts

607 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal -3 binary64))
✓	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	94.3%	(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))
✓	99.8%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
✓	94.6%	(-.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))
▶	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)) #s(literal 3 binary64))
✓	50.1%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 81 to 72 computations (11.1% saved)

simplify61.0ms (1.3%)

Memory

-1.6MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal -3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal -3 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)) #s(literal 3 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	72
0	29	72
1	50	68
2	105	60
3	224	56
4	499	56
5	950	56
6	1794	56
7	2178	56
8	2216	56
9	2260	56
10	2288	56
11	2299	56
12	2302	56
13	2302	56
0	2302	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (1.2%)

Memory

-18.6MiB live, 102.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal -1/2 binary64))
accuracy	0.0	(pow.f64 y #s(literal -3/2 binary64))
accuracy	0.10384750976844201	(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal -3 binary64))
accuracy	6.917745735182259	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.13671875	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)
accuracy	0.203125	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
accuracy	0.2210063196659862	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y))

Samples

44.0ms

256×

valid

Compiler

Compiled 147 to 39 computations (73.5% saved)

Precisions

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

ival-pow: 14.0ms (42.5% of total)

ival-mult: 7.0ms (21.2% of total)

ival-neg: 5.0ms (15.2% of total)

ival-div: 4.0ms (12.1% of total)

ival-add: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

series12.0ms (0.3%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

9 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ 1 (* (* (/ -1 x) (neg y)) y)) 3) (* (* (/ -1 x) (neg y)) y) (+ (* (pow y -1/2) (* (pow y -3/2) x)) -3) (pow y -1/2) (* (pow y -3/2) x) (pow y -3/2) (neg y))
2.0ms	y	@	0	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ 1 (* (* (/ -1 x) (neg y)) y)) 3) (* (* (/ -1 x) (neg y)) y) (+ (* (pow y -1/2) (* (pow y -3/2) x)) -3) (pow y -1/2) (* (pow y -3/2) x) (pow y -3/2) (neg y))
2.0ms	x	@	-inf	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ 1 (* (* (/ -1 x) (neg y)) y)) 3) (* (* (/ -1 x) (neg y)) y) (+ (* (pow y -1/2) (* (pow y -3/2) x)) -3) (pow y -1/2) (* (pow y -3/2) x) (pow y -3/2) (neg y))
2.0ms	y	@	inf	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ 1 (* (* (/ -1 x) (neg y)) y)) 3) (* (* (/ -1 x) (neg y)) y) (+ (* (pow y -1/2) (* (pow y -3/2) x)) -3) (pow y -1/2) (* (pow y -3/2) x) (pow y -3/2) (neg y))
2.0ms	x	@	0	((* (/ -1 x) (neg y)) (/ 1 (* (* (/ -1 x) (neg y)) y)) (- (/ 1 (* (* (/ -1 x) (neg y)) y)) 3) (* (* (/ -1 x) (neg y)) y) (+ (* (pow y -1/2) (* (pow y -3/2) x)) -3) (pow y -1/2) (* (pow y -3/2) x) (pow y -3/2) (neg y))

simplify120.0ms (2.6%)

Memory

-6.1MiB live, 84.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	101
1	85	94
2	229	93
3	534	92
4	2056	92
5	4824	92
6	6373	92
7	6958	92
8	7333	92
9	7697	92
0	8020	91

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite123.0ms (2.7%)

Memory

-7.9MiB live, 189.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
0	29	61
1	105	53
2	616	40
3	7702	40
0	8539	38

Stop Event

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

Counts

9 → 483

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 y y))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 y y) x))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 y y) (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 (neg.f64 x) (.f64 y y)))
(/.f64 (.f64 y y) (.f64 x y))
(/.f64 (.f64 y y) (.f64 y x))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) y))
(/.f64 (.f64 (neg.f64 y) y) (.f64 y (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 y x) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 y x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y)) y)
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -7/4 binary64)) x) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x)) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal -5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -7/4 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 #s(literal 1 binary64) (.f64 y y)) x)
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) x)
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -3/2 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -7/4 binary64)) x) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (pow.f64 y #s(literal -5/4 binary64)) (.f64 (pow.f64 y #s(literal -3/4 binary64)) x))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 (pow.f64 y #s(literal -7/4 binary64)) 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 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) 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 -1 binary64)) (/.f64 x y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
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(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -3/2 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)))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal -3 binary64))
(fma.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) (/.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -2 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)))))
(fma.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) (/.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) 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)))))
(fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (/.f64 y x) 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)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (/.f64 y x) y) #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)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -3 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) #s(literal -3 binary64))
(fma.f64 x (pow.f64 y #s(literal -2 binary64)) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) 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 (/.f64 y x) y) #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))) (/.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 (/.f64 (neg.f64 x) y) y))
(-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 3 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) 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 y x) y) #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 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (fma.f64 #s(literal -1/4 binary64) (log.f64 y) (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (pow.f64 y #s(literal -3/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x)))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 (pow.f64 y #s(literal -3/4 binary64)) x))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -3/2 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 y #s(literal -3/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -3/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -3/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -3/2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal -3/4 binary64))
(pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal -3/2 binary64))
(exp.f64 (fma.f64 #s(literal -3/4 binary64) (log.f64 y) (*.f64 #s(literal -3/4 binary64) (log.f64 y))))
(exp.f64 (.f64 (.f64 #s(literal -3/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64)))
(.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) 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) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 y y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(neg.f64 y)
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y y)))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))

eval50.0ms (1.1%)

Memory: -10.2MiB live, 108.1MiB allocated
Compiler: Compiled 6 429 to 1 200 computations (81.3% saved)

prune11.0ms (0.2%)

Memory

-8.5MiB live, 30.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	371	0	371
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	371	9	380

Accuracy

100.0%

Counts

380 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal -3 binary64))
✓	99.8%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	94.3%	(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))
✓	99.8%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))
✓	94.6%	(-.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))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)) #s(literal 3 binary64))
✓	50.1%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 199 to 125 computations (37.2% saved)

regimes24.0ms (0.5%)

Memory

-0.1MiB live, 37.1MiB allocated

Counts

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

regimes8.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB 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)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
94.6%	1	`x`
94.6%	1	`y`
94.6%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
94.6%	1	`(/.f64 x (*.f64 y y))`
94.6%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB 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 (/.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	`y`
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)`

Compiler

Compiled 17 to 17 computations (0% saved)

simplify84.0ms (1.8%)

Memory

-27.5MiB live, 55.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	21	23
2	29	23
3	36	23
4	47	23
5	72	23
6	152	23
7	469	23
8	5088	23
9	7991	23

Stop Event

1×	node limit

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))

soundness481.0ms (10.4%)

Memory

15.7MiB live, 216.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	288	15
3	3251	15
0	8177	14
0	21	37
1	43	37
2	107	37
3	256	37
4	490	37
5	809	37
6	1203	37
7	1925	37
8	2807	37
9	3518	37
10	4087	37
11	4341	37
12	4523	37
13	5005	37
14	5839	37
15	6501	37
16	7709	37
0	8011	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)

preprocess63.0ms (1.4%)

Memory: -21.1MiB live, 55.2MiB 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 (0.2%)

sample1.1s (23.7%)

explain69.0ms (1.5%)

preprocess61.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize16.0ms (0.3%)

series21.0ms (0.5%)

simplify126.0ms (2.7%)

rewrite176.0ms (3.8%)

eval49.0ms (1.1%)

prune6.0ms (0.1%)

simplify87.0ms (1.9%)

localize106.0ms (2.3%)

series21.0ms (0.4%)

simplify154.0ms (3.3%)

rewrite196.0ms (4.2%)

eval82.0ms (1.8%)

prune6.0ms (0.1%)

simplify53.0ms (1.1%)

localize99.0ms (2.2%)

series32.0ms (0.7%)

simplify172.0ms (3.7%)

rewrite215.0ms (4.7%)

eval477.0ms (10.4%)

prune178.0ms (3.9%)

simplify61.0ms (1.3%)

localize57.0ms (1.2%)

series12.0ms (0.3%)

simplify120.0ms (2.6%)

rewrite123.0ms (2.7%)

eval50.0ms (1.1%)

prune11.0ms (0.2%)

regimes24.0ms (0.5%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

simplify84.0ms (1.8%)

soundness481.0ms (10.4%)

preprocess63.0ms (1.4%)

end0.0ms (0%)

Profiling