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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.3%)

Memory

-37.9MiB live, 14.9MiB 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)

sample674.0ms (16.1%)

Memory

34.0MiB live, 931.2MiB allocated

Samples

455.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-div: 138.0ms (50.8% of total)

ival-mult: 71.0ms (26.1% of total)

ival-sub: 46.0ms (16.9% of total)

ival-true: 7.0ms (2.6% of total)

exact: 6.0ms (2.2% of total)

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain64.0ms (1.5%)

Memory

10.4MiB live, 135.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	13	0
↳	`(*.f64 y y)`	underflow	64

Confusion

	Predicted +	Predicted -
+	13	3
-	0	240

Precision

1.0

Recall

0.8125

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	3
-	0	0	240

Precision?

1.0

Recall?

0.8125

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

25.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 4.0ms (37.2% of total)

ival-div: 3.0ms (27.9% of total)

ival-sub: 2.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess46.0ms (1.1%)

Memory

-33.1MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	43	37
2	115	35
3	300	35
4	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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 (0.4%)

Memory

24.8MiB live, 24.8MiB 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	7.517168953699128	(/.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 (38.9% of total)

ival-mult: 2.0ms (38.9% of total)

ival-sub: 1.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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))

simplify191.0ms (4.6%)

Memory

-30.4MiB live, 46.4MiB 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)

rewrite424.0ms (10.1%)

Memory

22.7MiB live, 114.8MiB 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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(-.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 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))) (/.f64 #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 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.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 (/.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))) (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 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (.f64 y y)) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (pow.f64 y #s(literal -4 binary64)) x) x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
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(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (neg.f64 x) (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 x) y))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) (/.f64 y x)))))
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y))
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y)
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
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(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
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(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) y) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
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(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval173.0ms (4.2%)

Memory: -2.9MiB live, 35.6MiB allocated
Compiler: Compiled 6 183 to 669 computations (89.2% saved)

prune22.0ms (0.5%)

Memory

-24.6MiB live, 14.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accuracy

100.0%

Counts

232 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 95 to 84 computations (11.6% saved)

simplify37.0ms (0.9%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	111
0	43	99
1	71	99
2	126	99
3	239	99
4	551	99
5	1285	99
6	2118	99
7	2149	99
8	2175	99
9	2192	99
0	2192	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (2.4%)

Memory

-20.4MiB live, 95.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	0.140625	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.4891268263651626	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.09765625	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.4891268263651626	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy	7.516944574936208	(/.f64 (*.f64 y y) x)
accuracy	33.07283916358343	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.1328125	(/.f64 (/.f64 x y) y)

Samples

47.0ms

256×

valid

Compiler

Compiled 223 to 54 computations (75.8% saved)

Precisions

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

ival-div: 14.0ms (42.4% of total)

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

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

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

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

exact: 1.0ms (3% of total)

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

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

series13.0ms (0.3%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

16 → 14

Calls

Call 1

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

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

Calls

6 calls:

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

simplify135.0ms (3.2%)

Memory

-8.6MiB live, 67.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	62
1	60	62
2	133	62
3	307	62
4	598	62
5	1072	62
6	1678	62
7	2335	62
8	3126	62
9	3501	62
10	3946	62
11	4180	62
12	4363	62
13	4865	62
14	5723	62
15	6463	62
16	7773	62
0	8053	62

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite140.0ms (3.4%)

Memory

13.4MiB live, 211.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	92
0	43	80
1	178	80
2	1250	80
0	8804	75

Stop Event

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

Counts

16 → 635

Calls

Call 1

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

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

eval43.0ms (1%)

Memory: 2.4MiB live, 78.6MiB allocated
Compiler: Compiled 5 172 to 1 120 computations (78.3% saved)

prune7.0ms (0.2%)

Memory

-15.7MiB live, 22.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	353	2	355
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	355	6	361

Accuracy

100.0%

Counts

361 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 56 to 47 computations (16.1% saved)

simplify130.0ms (3.1%)

Memory

27.3MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	29	72
1	55	72
2	122	60
3	466	54
4	1395	54
5	3555	54
6	4922	54
7	6079	54
8	6901	54
0	8179	54

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (1.2%)

Memory

-9.2MiB live, 66.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (*.f64 x x))
accuracy	0.09765625	(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
accuracy	30.731072916278027	(.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
accuracy	0.140625	(*.f64 (/.f64 y x) y)
accuracy	0.4891268263651626	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Samples

35.0ms

256×

valid

Compiler

Compiled 159 to 37 computations (76.7% saved)

Precisions

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

ival-div: 7.0ms (32.8% of total)

ival-mult: 6.0ms (28.1% of total)

ival-pow: 4.0ms (18.8% of total)

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

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

exact: 1.0ms (4.7% of total)

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

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

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

series8.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

9 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

simplify245.0ms (5.9%)

Memory

-31.5MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	55
1	57	55
2	128	55
3	284	55
4	547	55
5	957	55
6	1436	55
7	2167	55
8	3048	55
9	3423	55
10	3871	55
11	4103	55
12	4507	55
13	5198	55
14	5363	55
15	6093	55
16	6404	55
17	6662	55
18	6897	55
19	7275	55
20	7417	55
21	7513	55
22	7765	55
23	7897	55
24	7937	55
25	7945	55
0	9186	55

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite125.0ms (3%)

Memory

11.3MiB live, 169.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	29	58
1	116	44
2	804	40
0	8010	38

Stop Event

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

Counts

9 → 673

Calls

Call 1

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

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

eval82.0ms (2%)

Memory: 7.3MiB live, 120.8MiB allocated
Compiler: Compiled 9 252 to 1 712 computations (81.5% saved)

prune22.0ms (0.5%)

Memory

-9.9MiB live, 28.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

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

Accuracy

100.0%

Counts

547 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify290.0ms (6.9%)

Memory

5.6MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (0.9%)

Memory

-12.0MiB live, 63.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.12890625	(*.f64 (/.f64 x y) x)
accuracy	17.00835670491783	(/.f64 (.f64 (/.f64 x y) x) (.f64 x y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	6.3855325325020305	(.f64 (.f64 y y) x)
accuracy	23.80049156269132	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (42.2% of total)

ival-mult: 8.0ms (42.2% of total)

ival-sub: 2.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

10 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

simplify179.0ms (4.3%)

Memory

-6.8MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	51	56
2	117	56
3	267	56
4	501	56
5	871	56
6	1447	56
7	2331	56
8	3304	56
9	3860	56
10	4142	56
11	4410	56
12	4656	56
13	5200	56
14	5612	56
15	5716	56
16	5764	56
17	5852	56
18	5896	56
19	5948	56
20	6428	56
21	6711	56
22	6874	56
0	8026	56

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite172.0ms (4.1%)

Memory

-11.7MiB live, 101.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
0	23	62
1	95	46
2	808	46
3	7840	46
0	8868	44

Stop Event

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

Counts

10 → 660

Calls

Call 1

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

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

eval72.0ms (1.7%)

Memory: -6.9MiB live, 112.1MiB allocated
Compiler: Compiled 7 379 to 1 245 computations (83.1% saved)

prune8.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

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

Accuracy

100.0%

Counts

430 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 160 to 97 computations (39.4% saved)

regimes18.0ms (0.4%)

Memory

-11.8MiB live, 26.7MiB 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))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64))
(-.f64 (/.f64 (.f64 (/.f64 x y) x) (.f64 x y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))

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

Calls

5 calls:

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

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)

regimes7.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB 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 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

simplify96.0ms (2.3%)

Memory

-31.1MiB live, 51.3MiB 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))

soundness474.0ms (11.3%)

Memory

13.8MiB live, 168.5MiB 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)

preprocess43.0ms (1%)

Memory: -5.8MiB live, 65.7MiB 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%)

analyze14.0ms (0.3%)

sample674.0ms (16.1%)

explain64.0ms (1.5%)

preprocess46.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize16.0ms (0.4%)

series5.0ms (0.1%)

simplify191.0ms (4.6%)

rewrite424.0ms (10.1%)

eval173.0ms (4.2%)

prune22.0ms (0.5%)

simplify37.0ms (0.9%)

localize100.0ms (2.4%)

series13.0ms (0.3%)

simplify135.0ms (3.2%)

rewrite140.0ms (3.4%)

eval43.0ms (1%)

prune7.0ms (0.2%)

simplify130.0ms (3.1%)

localize49.0ms (1.2%)

series8.0ms (0.2%)

simplify245.0ms (5.9%)

rewrite125.0ms (3%)

eval82.0ms (2%)

prune22.0ms (0.5%)

simplify290.0ms (6.9%)

localize37.0ms (0.9%)

series10.0ms (0.2%)

simplify179.0ms (4.3%)

rewrite172.0ms (4.1%)

eval72.0ms (1.7%)

prune8.0ms (0.2%)

regimes18.0ms (0.4%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

simplify96.0ms (2.3%)

soundness474.0ms (11.3%)

preprocess43.0ms (1%)

end0.0ms (0%)

Profiling