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

21.6MiB live, 21.6MiB 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)

sample784.0ms (16.7%)

Memory

5.8MiB live, 957.9MiB allocated

Samples

484.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-div: 112.0ms (41.6% of total)

ival-mult: 98.0ms (36.4% of total)

ival-sub: 44.0ms (16.4% of total)

ival-true: 6.0ms (2.2% of total)

exact: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain211.0ms (4.5%)

Memory

6.9MiB live, 121.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	1	(-1.0598765746208274e-63 3.3599179341565125e-159)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	14	0
↳	`(*.f64 y y)`	underflow	57

Confusion

	Predicted +	Predicted -
+	14	1
-	0	241

Precision

1.0

Recall

0.9333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	1
-	0	0	241

Precision?

1.0

Recall?

0.9333333333333333

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

153.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 34.0ms (81.8% of total)

ival-mult: 4.0ms (9.6% of total)

ival-sub: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (1%)

Memory

-34.2MiB live, 23.5MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

simplify3.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB 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

20.3MiB live, 20.3MiB 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	7.473620063516915	(/.f64 x (*.f64 y y))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (38.8% of total)

ival-mult: 2.0ms (38.8% of total)

ival-sub: 1.0ms (19.4% 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

8.8MiB live, 8.8MiB 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))

simplify228.0ms (4.9%)

Memory

1.6MiB live, 77.6MiB 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)

rewrite224.0ms (4.8%)

Memory

-31.2MiB live, 208.4MiB 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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eval47.0ms (1%)

Memory: 15.0MiB live, 49.5MiB allocated
Compiler: Compiled 6 183 to 669 computations (89.2% saved)

prune6.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB 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
▶	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
	94.4%	(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) #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))
▶	94.6%	(-.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))
▶	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 113 to 102 computations (9.7% saved)

simplify51.0ms (1.1%)

Memory

-18.9MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

localize87.0ms (1.9%)

Memory

16.6MiB live, 53.3MiB 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	0.15625	(*.f64 (neg.f64 y) (/.f64 y x))
accuracy	0.4051296706664351	(/.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	0.08203125	(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	0.4051296706664351	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy	7.468145657942296	(/.f64 (*.f64 y y) x)
accuracy	31.135319605899678	#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

43.0ms

256×

valid

Compiler

Compiled 112 to 27 computations (75.9% saved)

Precisions

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

ival-div: 15.0ms (54% of total)

ival-sub: 5.0ms (18% of total)

ival-mult: 5.0ms (18% of total)

ival-neg: 2.0ms (7.2% of total)

ival-add: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

16 → 14

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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	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))
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))

simplify162.0ms (3.5%)

Memory

-22.9MiB live, 56.6MiB 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)

rewrite203.0ms (4.3%)

Memory

6.1MiB live, 136.1MiB 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))))))))
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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))

eval57.0ms (1.2%)

Memory: -0.1MiB live, 74.6MiB allocated
Compiler: Compiled 5 172 to 1 120 computations (78.3% saved)

prune6.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	352	3	355
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	355	7	362

Accuracy

100.0%

Counts

362 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(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))
✓	99.9%	(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))
✓	94.6%	(-.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))
▶	94.6%	(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))) #s(literal 3 binary64))
✓	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 67 to 56 computations (16.4% saved)

simplify170.0ms (3.6%)

Memory

-14.9MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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	2	(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	6	(.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	2	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))) #s(literal 3 binary64))
cost-diff	1	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))
cost-diff	3	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	115
0	39	115
1	72	104
2	160	82
3	523	82
4	2336	82
5	5002	82
6	6191	82
7	6819	82
8	7235	82
9	7828	82
0	8110	82

Stop Event

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

Calls

Call 1

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

localize122.0ms (2.6%)

Memory

3.9MiB live, 126.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (*.f64 x x))
accuracy	0.08203125	(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	29.352095865378065	(.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	0.15625	(*.f64 (/.f64 y x) y)
accuracy	0.4051296706664351	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	0.0	(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))) #s(literal 3 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.4051296706664351	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y)))
accuracy	7.778500176133813	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))

Samples

108.0ms

256×

valid

Compiler

Compiled 118 to 25 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 31.0ms (35.6% of total)

ival-pow: 30.0ms (34.4% of total)

ival-mult: 21.0ms (24.1% of total)

ival-sub: 2.0ms (2.3% of total)

ival-add: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series32.0ms (0.7%)

Memory

-22.4MiB live, 16.5MiB allocated

Counts

14 → 15

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((/ -1 (* (/ -1 x) (* y y))) (* (/ -1 x) (* y y)) (- (/ -1 (* (/ -1 x) (* y y))) 3) (/ -1 x) (/ 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)) (* y y) (* x x))
2.0ms	x	@	-inf	((/ -1 (* (/ -1 x) (* y y))) (* (/ -1 x) (* y y)) (- (/ -1 (* (/ -1 x) (* y y))) 3) (/ -1 x) (/ 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)) (* y y) (* x x))
2.0ms	x	@	0	((/ -1 (* (/ -1 x) (* y y))) (* (/ -1 x) (* y y)) (- (/ -1 (* (/ -1 x) (* y y))) 3) (/ -1 x) (/ 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)) (* y y) (* x x))
1.0ms	y	@	inf	((/ -1 (* (/ -1 x) (* y y))) (* (/ -1 x) (* y y)) (- (/ -1 (* (/ -1 x) (* y y))) 3) (/ -1 x) (/ 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)) (* y y) (* x x))
1.0ms	y	@	-inf	((/ -1 (* (/ -1 x) (* y y))) (* (/ -1 x) (* y y)) (- (/ -1 (* (/ -1 x) (* y y))) 3) (/ -1 x) (/ 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)) (* y y) (* x x))

simplify147.0ms (3.1%)

Memory

27.2MiB live, 104.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	67
1	63	67
2	140	67
3	313	67
4	608	67
5	1093	67
6	1688	67
7	2348	67
8	3105	67
9	3480	67
10	3919	67
11	4149	67
12	4331	67
13	4726	67
14	5444	67
15	6196	67
16	7559	67
0	8051	67

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite544.0ms (11.6%)

Memory

-18.1MiB live, 137.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	97
0	39	97
1	154	68
2	1153	64
0	9014	61

Stop Event

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

Counts

14 → 888

Calls

Call 1

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

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

eval266.0ms (5.7%)

Memory: -3.1MiB live, 117.4MiB allocated
Compiler: Compiled 9 028 to 1 804 computations (80% saved)

prune9.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	566	1	567
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	567	7	574

Accuracy

100.0%

Counts

574 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	94.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	73.6%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 y x) (*.f64 x x)) y)) #s(literal 3 binary64))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64))
✓	94.6%	(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))) #s(literal 3 binary64))
✓	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 65 to 55 computations (15.4% saved)

simplify242.0ms (5.2%)

Memory

-2.6MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (.f64 y x) (*.f64 x x)) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 y x) (*.f64 x x)) y)) #s(literal 3 binary64))
cost-diff	2	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 y x) (*.f64 x x)) y))
cost-diff	4	(/.f64 (.f64 y x) (.f64 x x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	16	50
1	34	42
2	78	34
3	147	30
4	418	30
5	1381	30
6	1555	30
7	1677	30
8	1793	30
9	1917	30
10	2067	30
11	3344	30
12	3907	30
13	4567	30
14	4898	30
15	5238	30
16	5354	30
17	5454	30
18	5550	30
19	6703	30
20	7133	30
21	7328	30
22	7440	30
23	7547	30
24	7652	30
25	7757	30
26	7862	30
0	8462	30

Stop Event

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

Calls

Call 1

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

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

localize26.0ms (0.6%)

Memory

-25.3MiB live, 52.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.15625	(.f64 (/.f64 (.f64 y x) (*.f64 x x)) y)
accuracy	0.4051296706664351	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 y x) (*.f64 x x)) y))
accuracy	23.164354554662207	(/.f64 (.f64 y x) (.f64 x x))

Samples

17.0ms

256×

valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 5.0ms (51.4% of total)

ival-div: 3.0ms (30.9% of total)

ival-sub: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

5 → 9

Calls

Call 1

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

Outputs
(/ y x)
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(/ (pow y 2) x)
(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
1.0ms	x	@	-inf	((/ (* y x) (* x x)) (/ 1 (* (/ (* y x) (* x x)) y)) (- (/ 1 (* (/ (* y x) (* x x)) y)) 3) (* (/ (* y x) (* x x)) y) (* x x))
1.0ms	x	@	0	((/ (* y x) (* x x)) (/ 1 (* (/ (* y x) (* x x)) y)) (- (/ 1 (* (/ (* y x) (* x x)) y)) 3) (* (/ (* y x) (* x x)) y) (* x x))
1.0ms	x	@	inf	((/ (* y x) (* x x)) (/ 1 (* (/ (* y x) (* x x)) y)) (- (/ 1 (* (/ (* y x) (* x x)) y)) 3) (* (/ (* y x) (* x x)) y) (* x x))
1.0ms	y	@	-inf	((/ (* y x) (* x x)) (/ 1 (* (/ (* y x) (* x x)) y)) (- (/ 1 (* (/ (* y x) (* x x)) y)) 3) (* (/ (* y x) (* x x)) y) (* x x))
1.0ms	y	@	inf	((/ (* y x) (* x x)) (/ 1 (* (/ (* y x) (* x x)) y)) (- (/ 1 (* (/ (* y x) (* x x)) y)) 3) (* (/ (* y x) (* x x)) y) (* x x))

simplify177.0ms (3.8%)

Memory

15.7MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	45
1	47	45
2	112	45
3	260	45
4	495	45
5	843	45
6	1409	45
7	2382	45
8	3281	45
9	3656	45
10	4098	45
11	4332	45
12	4736	45
13	5421	45
14	5586	45
15	6336	45
16	6647	45
17	6905	45
18	7136	45
19	7514	45
20	7656	45
21	7752	45
0	8004	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

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

rewrite128.0ms (2.7%)

Memory

-10.4MiB live, 223.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	16	43
1	65	27
2	454	23
3	4174	23
0	8501	22

Stop Event

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

Counts

5 → 447

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (.f64 x y) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 x x)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) y) x)
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (neg.f64 x) y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 y (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 x) x)))
(.f64 (neg.f64 y) (.f64 x (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 x y))
(.f64 (.f64 (neg.f64 x) y) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) y) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) y) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(.f64 (.f64 x y) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x y) (pow.f64 x #s(literal -2 binary64)))
(.f64 x (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(.f64 x (.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(.f64 x (.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1 binary64)))
(.f64 x (.f64 (pow.f64 x #s(literal -2 binary64)) y))
(.f64 y (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (pow.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) y) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (.f64 x y) (.f64 x x))
(/.f64 y (*.f64 #s(literal 1 binary64) x))
(/.f64 y (neg.f64 (neg.f64 x)))
(/.f64 y x)
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))
(.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))) (.f64 x x))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(.f64 (pow.f64 (.f64 (.f64 y (neg.f64 y)) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(.f64 (pow.f64 (.f64 (.f64 y (neg.f64 y)) x) #s(literal -1 binary64)) (.f64 x x))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) x) 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)) (.f64 x x)) (pow.f64 (.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64))) (*.f64 x x))
(.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x y) y)) (.f64 (neg.f64 x) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x y) y)) (.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) y))
(.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (*.f64 x (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 x y) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.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 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)))
(.f64 x (/.f64 x (.f64 (*.f64 x y) y)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) y))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 y x) y)))
(pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) #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 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.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))) (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 x (/.f64 x y)) (pow.f64 y #s(literal -1 binary64))) x)
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x x)) (*.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 y x))
(/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x y) y)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 (pow.f64 x #s(literal -2 binary64)) y))
(/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 x (/.f64 x y)) (.f64 x y))
(/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) y)
(/.f64 (/.f64 x y) (neg.f64 y))
(/.f64 (/.f64 x y) y)
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (.f64 x x) (.f64 (*.f64 x y) y))
(/.f64 x (*.f64 y y))
(neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 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 #s(literal 3 binary64) (.f64 y y)) x (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x 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)) (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 (/.f64 y x) 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 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -6 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x #s(literal 9 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 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 (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #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 (-.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) (.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 (/.f64 y x) y))) #s(literal -1 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)) (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) x (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #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)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 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 (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 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -4 binary64)) #s(literal 81 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 x x) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #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))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -2 binary64)) #s(literal 81 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal -4 binary64))))
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eval74.0ms (1.6%)

Memory: -2.4MiB live, 121.6MiB allocated
Compiler: Compiled 7 089 to 1 484 computations (79.1% saved)

prune12.0ms (0.2%)

Memory

-5.7MiB live, 32.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	450	3	453
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	452	8	460

Accuracy

100.0%

Counts

460 → 8

Alt Table

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Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
	70.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x y) y)) (*.f64 (neg.f64 x) x) #s(literal -3 binary64))
	85.0%	(fma.f64 x (/.f64 x (.f64 (.f64 x y) y)) #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
	71.3%	(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 x y) y)) #s(literal 3 binary64))
✓	94.6%	(-.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))
✓	51.4%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 217 to 121 computations (44.2% saved)

regimes24.0ms (0.5%)

Memory

-2.9MiB live, 39.6MiB allocated

Counts

14 → 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))
(fma.f64 x (/.f64 x (.f64 (.f64 x y) y)) #s(literal -3 binary64))
(-.f64 (/.f64 (.f64 x x) (.f64 (*.f64 x y) y)) #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))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x y) y)) (*.f64 (neg.f64 x) x) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y))) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 y x) (*.f64 x 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))
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))

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

Calls

5 calls:

7.0ms	y
4.0ms	x
4.0ms	(*.f64 y y)
4.0ms	(/.f64 x (*.f64 y y))
4.0ms	(-.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)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes8.0ms (0.2%)

Memory

-24.1MiB live, 14.3MiB 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:

4.0ms	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
51.4%	1	`x`
51.4%	1	`y`
51.4%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
51.4%	1	`(/.f64 x (*.f64 y y))`
51.4%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

simplify79.0ms (1.7%)

Memory

6.2MiB live, 44.1MiB 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))

soundness426.0ms (9.1%)

Memory

1.1MiB live, 158.4MiB 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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 38 to 27 computations (28.9% saved)

preprocess29.0ms (0.6%)

Memory: 16.9MiB 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%)

sample784.0ms (16.7%)

explain211.0ms (4.5%)

preprocess49.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.3%)

series5.0ms (0.1%)

simplify228.0ms (4.9%)

rewrite224.0ms (4.8%)

eval47.0ms (1%)

prune6.0ms (0.1%)

simplify51.0ms (1.1%)

localize87.0ms (1.9%)

series13.0ms (0.3%)

simplify162.0ms (3.5%)

rewrite203.0ms (4.3%)

eval57.0ms (1.2%)

prune6.0ms (0.1%)

simplify170.0ms (3.6%)

localize122.0ms (2.6%)

series32.0ms (0.7%)

simplify147.0ms (3.1%)

rewrite544.0ms (11.6%)

eval266.0ms (5.7%)

prune9.0ms (0.2%)

simplify242.0ms (5.2%)

localize26.0ms (0.6%)

series6.0ms (0.1%)

simplify177.0ms (3.8%)

rewrite128.0ms (2.7%)

eval74.0ms (1.6%)

prune12.0ms (0.2%)

regimes24.0ms (0.5%)

regimes7.0ms (0.1%)

regimes8.0ms (0.2%)

simplify79.0ms (1.7%)

soundness426.0ms (9.1%)

preprocess29.0ms (0.6%)

end0.0ms (0%)

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