Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (27.1%)

Memory

45.6MiB live, 1 515.4MiB allocated

Samples

590.0ms	6 326×	0	valid
321.0ms	1 929×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-mult: 250.0ms (40% of total)

ival-sub: 207.0ms (33.1% of total)

adjust: 87.0ms (13.9% of total)

ival-add: 67.0ms (10.7% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain118.0ms (2.5%)

Memory

-8.9MiB live, 183.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
59	2	(-853721.5007588646 -7.17136926259672e-279)	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	-	`y`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`	cancellation	61	0

Confusion

	Predicted +	Predicted -
+	59	0
-	2	195

Precision

0.9672131147540983

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	59	0	0
-	2	0	195

Precision?

0.9672131147540983

Recall?

1.0

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	396×	0	valid
30.0ms	116×	1	valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

adjust: 21.0ms (55.3% of total)

ival-sub: 10.0ms (26.3% of total)

ival-mult: 4.0ms (10.5% of total)

ival-add: 3.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess15.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	39	52
2	67	51
3	114	51
4	127	51
0	7	9
0	11	9
1	18	9
2	26	9
3	37	9
4	46	9
0	46	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

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
▶	78.2%	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify48.0ms (1%)

Memory

-41.3MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	1	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	25
1	18	25
2	26	25
3	37	25
4	46	25
0	46	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.5%)

Memory

38.1MiB live, 38.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
accuracy	13.927450664642219	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Samples

10.0ms	198×	0	valid
6.0ms	58×	1	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (33.5% of total)

ival-mult: 3.0ms (33.5% of total)

adjust: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

4 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ x (* (- 1 x) (- 1 y))) (* (- 1 x) (- 1 y)) (- 1 x) (- 1 y))
1.0ms	y	@	inf	((+ x (* (- 1 x) (- 1 y))) (* (- 1 x) (- 1 y)) (- 1 x) (- 1 y))
0.0ms	y	@	-inf	((+ x (* (- 1 x) (- 1 y))) (* (- 1 x) (- 1 y)) (- 1 x) (- 1 y))
0.0ms	x	@	0	((+ x (* (- 1 x) (- 1 y))) (* (- 1 x) (- 1 y)) (- 1 x) (- 1 y))
0.0ms	x	@	-inf	((+ x (* (- 1 x) (- 1 y))) (* (- 1 x) (- 1 y)) (- 1 x) (- 1 y))

simplify152.0ms (3.2%)

Memory

-6.8MiB live, 137.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	209
1	181	193
2	406	163
3	1191	147
4	3825	147
0	8460	141

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite259.0ms (5.4%)

Memory

7.4MiB live, 242.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	52	22
2	403	22
3	6687	22
0	8397	21

Stop Event

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

Counts

4 → 213

Calls

Call 1

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

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

eval50.0ms (1%)

Memory: 2.0MiB live, 97.7MiB allocated
Compiler: Compiled 6 960 to 849 computations (87.8% saved)

prune8.0ms (0.2%)

Memory

-23.6MiB live, 19.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	225	4	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	4	230

Accuracy

100.0%

Counts

230 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
▶	54.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
▶	68.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
▶	47.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))

Compiler

Compiled 57 to 41 computations (28.1% saved)

simplify210.0ms (4.4%)

Memory

26.0MiB live, 256.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(fma.f64 y x (-.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(+.f64 #s(literal -1 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal -1 binary64) x) y)
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	17	90
0	22	90
1	35	90
2	58	90
3	96	90
4	152	90
5	300	90
6	524	90
7	710	90
8	1323	78
9	2760	78
10	5170	78
11	6778	78
12	7770	78
0	8099	78

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (1%)

Memory

-23.3MiB live, 80.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x (-.f64 #s(literal 1 binary64) y))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	29.20658678017143	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
accuracy	0.0	(+.f64 #s(literal -1 binary64) x)
accuracy	0.0	(*.f64 (+.f64 #s(literal -1 binary64) x) y)
accuracy	20.303973423500448	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
accuracy	0.0	(*.f64 y x)
accuracy	33.600668615009305	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))

Samples

27.0ms	198×	0	valid
10.0ms	58×	1	valid

Compiler

Compiled 72 to 14 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (43.5% of total)

ival-sub: 8.0ms (31.6% of total)

ival-add: 4.0ms (15.8% of total)

adjust: 2.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

9 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

simplify171.0ms (3.5%)

Memory

1.0MiB live, 241.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	234
1	222	220
2	615	192
3	1549	164
4	3815	164
0	8152	152

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite233.0ms (4.9%)

Memory

5.3MiB live, 276.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
0	22	77
1	90	77
2	689	77
3	7688	77
0	8434	73

Stop Event

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

Counts

9 → 227

Calls

Call 1

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

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

eval35.0ms (0.7%)

Memory: -3.9MiB live, 60.1MiB allocated
Compiler: Compiled 9 192 to 1 002 computations (89.1% saved)

prune6.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	270	6	276

Accuracy

100.0%

Counts

276 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
✓	54.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	68.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
✓	47.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
▶	23.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))
▶	32.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 86 to 63 computations (26.7% saved)

simplify441.0ms (9.2%)

Memory

-34.9MiB live, 434.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
0	15	41
1	24	41
2	40	41
3	68	41
4	101	41
5	189	41
6	338	41
7	524	41
8	839	37
9	1906	37
10	4960	37
11	6202	37
12	7429	37
13	7894	37
0	8116	35

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

37.8MiB live, 81.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	20.303973423500448	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))
accuracy	36.308941278529346	#s(approx (* (+ -1 x) y) (neg.f64 y))
accuracy	43.242354431226836	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Samples

13.0ms	198×	0	valid
11.0ms	58×	1	valid

Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (43.6% of total)

ival-sub: 3.0ms (18.7% of total)

ival-add: 3.0ms (18.7% of total)

adjust: 2.0ms (12.5% of total)

ival-neg: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

4 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (* (+ -1 x) y) (neg y))
1.0ms	y	@	inf	((+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (* (+ -1 x) y) (neg y))
0.0ms	x	@	-inf	((+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (* (+ -1 x) y) (neg y))
0.0ms	x	@	inf	((+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (* (+ -1 x) y) (neg y))
0.0ms	y	@	0	((+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (* (+ -1 x) y) (neg y))

simplify187.0ms (3.9%)

Memory

-23.5MiB live, 123.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	119
1	135	111
2	367	95
3	915	79
4	2438	79
5	6048	79
0	8365	73

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite184.0ms (3.8%)

Memory

2.2MiB live, 236.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	15	39
1	67	39
2	496	39
3	7344	39
0	9077	37

Stop Event

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

Counts

4 → 8

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 6.5MiB live, 6.5MiB allocated
Compiler: Compiled 240 to 41 computations (82.9% saved)

prune3.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	14	6	20

Accuracy

100.0%

Counts

20 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
✓	54.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	68.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
✓	47.5%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
✓	23.2%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))
✓	32.4%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 181 to 91 computations (49.7% saved)

regimes25.0ms (0.5%)

Memory

-20.2MiB live, 40.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
3.0ms	y
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

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

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes8.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
87.2%	3	`(-.f64 #s(literal 1 binary64) y)`
89.0%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
88.8%	3	`x`
88.9%	3	`y`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes9.0ms (0.2%)

Memory

-30.5MiB live, 14.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
2.0ms	x
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
88.4%	3	`x`
71.8%	3	`y`
77.7%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))

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

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

Calls

4 calls:

2.0ms	x
2.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) y)
1.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
54.4%	1	`y`
54.4%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
54.4%	1	`(-.f64 #s(literal 1 binary64) y)`
54.4%	1	`x`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) y)
1.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
52.7%	3	`(-.f64 #s(literal 1 binary64) y)`
52.7%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
36.2%	3	`x`
52.7%	3	`y`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes6.0ms (0.1%)

Memory

-32.9MiB live, 12.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) y)
1.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
32.4%	1	`x`
32.4%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
32.4%	1	`(-.f64 #s(literal 1 binary64) y)`
32.4%	1	`y`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	31594415602294.363	6.586993813020259e+19
0.0ms	0.0	0.9999999938455298

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch27.0ms (0.6%)

Memory

43.4MiB live, 43.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.08080599233972315	1889170167899.7463
11.0ms	-5.099644871224718e+30	-8.901527309340535e+28

Samples

10.0ms	226×	0	valid
4.0ms	46×	1	valid

Compiler

Compiled 454 to 369 computations (18.7% saved)

Precisions

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

ival-sub: 3.0ms (37.5% of total)

ival-mult: 2.0ms (25% of total)

adjust: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch39.0ms (0.8%)

Memory

-5.8MiB live, 39.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.04011078669387243	116.08968841486166
26.0ms	-76.50223415623525	-0.00010878641723434962

Samples

22.0ms	237×	0	valid
3.0ms	19×	2	valid
1.0ms	16×	1	valid

Compiler

Compiled 505 to 420 computations (16.8% saved)

Precisions

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

ival-sub: 3.0ms (37.2% of total)

ival-mult: 2.0ms (24.8% of total)

adjust: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

simplify123.0ms (2.6%)

Memory

-27.6MiB live, 70.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	42	166
1	65	166
2	85	166
3	111	166
4	146	166
5	199	166
6	339	166
7	1208	166
8	1408	166
9	2586	166
10	3874	148
11	6457	148
12	7935	148

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (.f64 (+.f64 #s(literal -1 binary64) x) y)) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 50000000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))))
(if (<=.f64 x #s(literal -120000000000000003793529864192 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 390000 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (.f64 (+.f64 #s(literal -1 binary64) x) y)) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 50000000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))))
(if (or (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64)) (not (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 50000000000000 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 (+.f64 #s(literal -1 binary64) x) y)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 x #s(literal -120000000000000003793529864192 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 390000 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))))
(if (or (<=.f64 x #s(literal -120000000000000003793529864192 binary64)) (not (<=.f64 x #s(literal 390000 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) #s(approx (+ x ( (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y))) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

soundness950.0ms (19.8%)

Memory

5.2MiB live, 481.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	234
1	222	220
2	615	192
3	1549	164
4	3815	164
0	8152	152
0	68	209
1	181	193
2	406	163
3	1191	147
4	3825	147
0	8460	141

Stop Event

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

Compiler

Compiled 196 to 86 computations (56.1% saved)

preprocess68.0ms (1.4%)

Memory: 18.0MiB live, 114.0MiB allocated
Compiler: Compiled 364 to 120 computations (67% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (27.1%)

explain118.0ms (2.5%)

preprocess15.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify48.0ms (1%)

localize22.0ms (0.5%)

series3.0ms (0.1%)

simplify152.0ms (3.2%)

rewrite259.0ms (5.4%)

eval50.0ms (1%)

prune8.0ms (0.2%)

simplify210.0ms (4.4%)

localize46.0ms (1%)

series7.0ms (0.1%)

simplify171.0ms (3.5%)

rewrite233.0ms (4.9%)

eval35.0ms (0.7%)

prune6.0ms (0.1%)

simplify441.0ms (9.2%)

localize30.0ms (0.6%)

series3.0ms (0.1%)

simplify187.0ms (3.9%)

rewrite184.0ms (3.8%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes25.0ms (0.5%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch27.0ms (0.6%)

bsearch39.0ms (0.8%)

simplify123.0ms (2.6%)

soundness950.0ms (19.8%)

preprocess68.0ms (1.4%)

end0.0ms (0%)

Profiling