Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.4%)

Memory

1.1MiB live, 39.2MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample847.0ms (15.8%)

Memory

12.3MiB live, 1 038.0MiB allocated

Samples

544.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult: 126.0ms (42.1% of total)

ival-sub: 103.0ms (34.4% of total)

ival-div: 54.0ms (18.1% of total)

ival-true: 7.0ms (2.3% of total)

exact: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain71.0ms (1.3%)

Memory

-12.7MiB live, 151.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
70	-	1	(-5.178410887900604e-62 -1.3030678264016143e-258)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	37
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	32

Confusion

	Predicted +	Predicted -
+	69	1
-	0	186

Precision

1.0

Recall

0.9857142857142858

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	1
-	0	0	186

Precision?

1.0

Recall?

0.9857142857142858

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (52.3% of total)

ival-sub: 3.0ms (22.4% of total)

ival-div: 3.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess398.0ms (7.4%)

Memory

5.6MiB live, 214.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	71	45
2	303	35
3	1660	35
4	3732	35
5	5296	35
6	6076	35
7	6221	35
8	6269	35
9	6375	35
10	6375	35
11	6837	35
12	7453	35
0	7	9
0	11	9
1	22	9
2	56	7
3	133	7
4	309	7
5	634	7
6	1137	7
7	4020	7
8	7124	7
0	8177	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify108.0ms (2%)

Memory

-7.6MiB live, 105.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-64	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(-.f64 x y)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	22	23
2	56	21
3	133	21
4	309	21
5	634	21
6	1137	21
7	4020	21
8	7124	21
0	8177	21

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

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

localize18.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	16.51167385375887	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

4 → 15

Calls

Call 1

Inputs
(-.f64 x y)
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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

Calls

6 calls:

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

simplify217.0ms (4%)

Memory

-1.6MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	62
1	106	62
2	237	62
3	549	58
4	1456	58
5	2807	58
6	4571	58
7	5784	58
8	6268	58
9	6498	58
10	6618	58
11	7775	58
0	8223	57

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite197.0ms (3.7%)

Memory

-22.6MiB live, 219.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	43	20
2	301	18
3	4249	18
0	8307	18

Stop Event

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

Counts

4 → 524

Calls

Call 1

Inputs
(-.f64 x y)
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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

eval63.0ms (1.2%)

Memory: 26.4MiB live, 153.6MiB allocated
Compiler: Compiled 9 813 to 1 379 computations (85.9% saved)

prune15.0ms (0.3%)

Memory

-24.9MiB live, 48.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	526	6	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	527	6	533

Accuracy

100.0%

Counts

533 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.0%	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	73.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
▶	92.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
▶	57.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	44.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 138 to 106 computations (23.2% saved)

simplify198.0ms (3.7%)

Memory

-6.6MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
cost-diff	192	(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
cost-diff	-384	(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 y x)
cost-diff	320	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	114
0	35	111
1	57	111
2	125	105
3	265	104
4	902	104
5	2513	104
6	5029	104
0	8559	104

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1.3%)

Memory

6.2MiB live, 43.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
accuracy	4.753348412536688	(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 y x)
accuracy	0.3156280915804171	(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
accuracy	16.621534471537917	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	27.49098998424646	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	35.575854062818344	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

35.0ms

256×

valid

Compiler

Compiled 215 to 45 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 11.0ms (49.4% of total)

ival-mult: 7.0ms (31.5% of total)

ival-sub: 2.0ms (9% of total)

ival-add: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

14 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify142.0ms (2.6%)

Memory

3.6MiB live, 49.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	110
1	122	110
2	312	110
3	880	98
4	2057	98
5	3161	98
6	4874	98
7	5356	98
8	5544	98
9	5697	98
10	5815	98
11	6883	98
12	7629	98
0	8037	93

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite330.0ms (6.1%)

Memory

-5.2MiB live, 183.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	97
0	35	95
1	140	89
2	1135	89
0	8354	89

Stop Event

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

Counts

14 → 1 027

Calls

Call 1

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

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

eval244.0ms (4.5%)

Memory: -24.5MiB live, 118.7MiB allocated
Compiler: Compiled 13 039 to 1 942 computations (85.1% saved)

prune56.0ms (1%)

Memory

-4.3MiB live, 33.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	652	1	653
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	652	7	659

Accuracy

100.0%

Counts

659 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	73.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
▶	35.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(approx (- x y) (neg.f64 y)))
✓	92.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	57.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	44.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 81 to 62 computations (23.5% saved)

simplify133.0ms (2.5%)

Memory

17.3MiB live, 135.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	22	54
1	43	54
2	91	54
3	166	52
4	329	52
5	842	52
6	2638	52
7	5797	52
8	6966	52
9	7432	52
10	7560	52
11	7673	52
12	7733	52
0	8232	52

Stop Event

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

Calls

Call 1

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

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

localize62.0ms (1.2%)

Memory

-1.6MiB live, 73.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0078125	(/.f64 (-.f64 y x) y)
accuracy	8.940956241792744	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))
accuracy	0.0	(neg.f64 y)
accuracy	0.3156280915804171	(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
accuracy	16.621534471537917	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(approx (- x y) (neg.f64 y)))
accuracy	35.62205642442977	#s(approx (- x y) (neg.f64 y))

Samples

53.0ms

256×

valid

Compiler

Compiled 104 to 29 computations (72.1% saved)

Precisions

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

ival-neg: 29.0ms (69.2% of total)

ival-div: 5.0ms (11.9% of total)

ival-mult: 5.0ms (11.9% 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)

series28.0ms (0.5%)

Memory

-0.4MiB live, 35.6MiB allocated

Counts

9 → 30

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((* (/ 1/2 (* y x)) (- x y)) (/ 1/2 (* y x)) (* y x) (- x y) (/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (neg y))
4.0ms	x	@	inf	((* (/ 1/2 (* y x)) (- x y)) (/ 1/2 (* y x)) (* y x) (- x y) (/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (neg y))
1.0ms	y	@	inf	((* (/ 1/2 (* y x)) (- x y)) (/ 1/2 (* y x)) (* y x) (- x y) (/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (neg y))
1.0ms	x	@	0	((* (/ 1/2 (* y x)) (- x y)) (/ 1/2 (* y x)) (* y x) (- x y) (/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (neg y))
1.0ms	y	@	0	((* (/ 1/2 (* y x)) (- x y)) (/ 1/2 (* y x)) (* y x) (- x y) (/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (neg y))

simplify187.0ms (3.5%)

Memory

12.5MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	115
1	133	111
2	349	111
3	828	107
4	2094	107
5	3927	107
6	5325	107
7	6010	107
8	6218	107
9	6402	107
10	6432	107
11	6652	107
12	7098	107
13	7659	107
0	8066	106

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

rewrite212.0ms (3.9%)

Memory

-15.8MiB live, 144.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	22	48
1	85	48
2	593	48
3	6863	45
0	9000	45

Stop Event

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

Counts

9 → 694

Calls

Call 1

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

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

eval357.0ms (6.7%)

Memory: -8.5MiB live, 152.1MiB allocated
Compiler: Compiled 12 433 to 1 887 computations (84.8% saved)

prune13.0ms (0.2%)

Memory

8.2MiB live, 46.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	707	1	708
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	708	7	715

Accuracy

100.0%

Counts

715 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	73.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
▶	35.0%	(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(approx (- x y) y))
✓	92.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	57.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	44.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 80 to 61 computations (23.8% saved)

simplify75.0ms (1.4%)

Memory

5.1MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-384	(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(approx (- x y) y))
cost-diff	0	#s(approx (- x y) y)
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	11	27
1	19	27
2	42	27
3	61	27
4	74	27
5	95	27
6	130	27
7	216	27
8	501	27
9	893	27
10	1386	27
11	2071	27
12	2214	27
13	2309	27
14	2379	27
15	2399	27
16	2419	27
17	2501	27
18	2501	27
0	2501	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

16.7MiB live, 53.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.3156280915804171	(/.f64 #s(literal -1/2 binary64) (*.f64 x y))
accuracy	16.621534471537917	(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(approx (- x y) y))
accuracy	62.43620124126061	#s(approx (- x y) y)

Samples

19.0ms

256×

valid

Compiler

Compiled 52 to 17 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (42.4% of total)

ival-mult: 3.0ms (31.8% of total)

ival-sub: 1.0ms (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

-19.3MiB live, 16.1MiB allocated

Counts

4 → 15

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((/ -1/2 (* x y)) (* x y) (- x y) (* (/ -1/2 (* x y)) (- x y)))
1.0ms	x	@	-inf	((/ -1/2 (* x y)) (* x y) (- x y) (* (/ -1/2 (* x y)) (- x y)))
1.0ms	y	@	-inf	((/ -1/2 (* x y)) (* x y) (- x y) (* (/ -1/2 (* x y)) (- x y)))
1.0ms	x	@	inf	((/ -1/2 (* x y)) (* x y) (- x y) (* (/ -1/2 (* x y)) (- x y)))
1.0ms	y	@	inf	((/ -1/2 (* x y)) (* x y) (- x y) (* (/ -1/2 (* x y)) (- x y)))

simplify142.0ms (2.6%)

Memory

15.5MiB live, 102.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	58
1	103	58
2	231	58
3	548	58
4	1459	58
5	2558	58
6	3921	58
7	5115	58
8	5669	58
9	5885	58
10	5975	58
11	7087	58
12	7635	58
13	7887	58
0	8107	57

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite170.0ms (3.2%)

Memory

-17.6MiB live, 215.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	11	24
1	40	24
2	240	24
3	1858	24
0	8426	24

Stop Event

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

Counts

4 → 212

Calls

Call 1

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

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

eval25.0ms (0.5%)

Memory: 21.7MiB live, 59.8MiB allocated
Compiler: Compiled 2 991 to 509 computations (83% saved)

prune63.0ms (1.2%)

Memory

-26.7MiB live, 24.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	220	7	227

Accuracy

100.0%

Counts

227 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	73.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
✓	35.0%	(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(approx (- x y) y))
✓	92.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	57.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	44.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 181 to 100 computations (44.8% saved)

regimes10.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes14.0ms (0.3%)

Memory

-25.6MiB live, 11.9MiB allocated

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
87.1%	5	`x`
85.8%	5	`y`
89.0%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
88.5%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
75.4%	3	`y`
77.2%	3	`x`
63.1%	3	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
44.4%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
44.4%	1	`y`
44.4%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.5755048861017855e+298	4.393770577724993e+303
0.0ms	-0.0	7.397061559689398e-130
0.0ms	-7.287759439939898e-43	-2.3393654515805156e-83
0.0ms	-3.7941609773974152e+289	-7.067430692914576e+283

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.5755048861017855e+298	4.393770577724993e+303
0.0ms	-0.0	7.397061559689398e-130
0.0ms	-7.287759439939898e-43	-2.3393654515805156e-83
0.0ms	-3.7941609773974152e+289	-7.067430692914576e+283

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch33.0ms (0.6%)

Memory

9.1MiB live, 45.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0279431617789597e-10	0.035533944716782756
18.0ms	-5.489508633889044e-80	-2.5681872822129564e-103

Samples

18.0ms

320×

valid

Compiler

Compiled 532 to 452 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (49.1% of total)

ival-sub: 2.0ms (24.6% of total)

ival-div: 2.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify77.0ms (1.4%)

Memory

-28.9MiB live, 53.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	241
1	63	233
2	109	221
3	197	221
4	402	221
5	808	221
6	2639	221
7	4584	221
8	6851	221

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -4405473261586877/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (or (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (or (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (not (or (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (not (or (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)))))))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)))
(if (<=.f64 x #s(literal -4405473261586877/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 x #s(literal -4405473261586877/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (not (<=.f64 x #s(literal 8500259669165361/2361183241434822606848 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

soundness627.0ms (11.7%)

Memory

5.4MiB live, 276.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	62
1	106	62
2	237	62
3	549	58
4	1456	58
5	2807	58
6	4571	58
7	5784	58
8	6268	58
9	6498	58
10	6618	58
11	7775	58
0	8223	57
0	7	20
0	11	20
1	43	20
2	301	18
3	4249	18
0	8307	18

Stop Event

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

Compiler

Compiled 281 to 97 computations (65.5% saved)

preprocess75.0ms (1.4%)

Memory: -3.4MiB live, 113.7MiB allocated
Compiler: Compiled 474 to 122 computations (74.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze22.0ms (0.4%)

sample847.0ms (15.8%)

explain71.0ms (1.3%)

preprocess398.0ms (7.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify108.0ms (2%)

localize18.0ms (0.3%)

series10.0ms (0.2%)

simplify217.0ms (4%)

rewrite197.0ms (3.7%)

eval63.0ms (1.2%)

prune15.0ms (0.3%)

simplify198.0ms (3.7%)

localize68.0ms (1.3%)

series13.0ms (0.2%)

simplify142.0ms (2.6%)

rewrite330.0ms (6.1%)

eval244.0ms (4.5%)

prune56.0ms (1%)

simplify133.0ms (2.5%)

localize62.0ms (1.2%)

series28.0ms (0.5%)

simplify187.0ms (3.5%)

rewrite212.0ms (3.9%)

eval357.0ms (6.7%)

prune13.0ms (0.2%)

simplify75.0ms (1.4%)

localize25.0ms (0.5%)

series10.0ms (0.2%)

simplify142.0ms (2.6%)

rewrite170.0ms (3.2%)

eval25.0ms (0.5%)

prune63.0ms (1.2%)

regimes10.0ms (0.2%)

regimes14.0ms (0.3%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch33.0ms (0.6%)

simplify77.0ms (1.4%)

soundness627.0ms (11.7%)

preprocess75.0ms (1.4%)

end0.0ms (0%)

Profiling