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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.2s (25.1%)

Memory

56.8MiB live, 1 716.1MiB allocated

Samples

656.0ms	6 311×	0	valid
322.0ms	1 942×	1	valid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 668.0ms

ival-sub: 402.0ms (60.2% of total)

ival-add: 107.0ms (16% of total)

ival-mult: 102.0ms (15.3% of total)

adjust: 40.0ms (6% of total)

ival-true: 7.0ms (1% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain162.0ms (3.3%)

Memory

19.4MiB live, 218.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
58	4	(281.0355445572398 -4.917788225310953e-293)	-	`(+.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	62	0

Confusion

	Predicted +	Predicted -
+	58	0
-	4	194

Precision

0.9354838709677419

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	4	0	194

Precision?

0.9354838709677419

Recall?

1.0

Freqs

test

number	freq
0	194
1	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms	118×	1	valid
21.0ms	394×	0	valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 76.0ms (79.4% of total)

ival-add: 9.0ms (9.4% of total)

ival-sub: 7.0ms (7.3% of total)

adjust: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess17.0ms (0.4%)

Memory

-3.3MiB live, 42.3MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify8.0ms (0.2%)

Memory

-26.5MiB live, 18.1MiB 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

localize27.0ms (0.5%)

Memory

7.0MiB live, 59.5MiB 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	0.0	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
accuracy	13.97951326826117	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Samples

11.0ms	197×	0	valid
11.0ms	59×	1	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (46.4% of total)

ival-sub: 3.0ms (23.2% of total)

ival-add: 2.0ms (15.5% of total)

adjust: 1.0ms (7.7% 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

5.1MiB live, 5.1MiB 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))

simplify160.0ms (3.2%)

Memory

22.8MiB live, 208.4MiB 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))

rewrite188.0ms (3.8%)

Memory

-0.5MiB live, 229.8MiB 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: -13.1MiB live, 74.4MiB allocated
Compiler: Compiled 6 960 to 849 computations (87.8% saved)

prune4.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB 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)))
▶	60.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
▶	64.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
▶	40.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))

Compiler

Compiled 57 to 41 computations (28.1% saved)

simplify363.0ms (7.3%)

Memory

-7.1MiB live, 246.6MiB 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 (0.9%)

Memory

-17.9MiB live, 113.3MiB 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	25.116551474555347	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.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) y)
accuracy	22.85904922524437	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
accuracy	0.0	(*.f64 y x)
accuracy	37.9737380961046	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))

Samples

20.0ms	197×	0	valid
13.0ms	59×	1	valid

Compiler

Compiled 72 to 14 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 5.0ms (32.6% of total)

ival-add: 4.0ms (26% of total)

ival-sub: 3.0ms (19.5% of total)

adjust: 2.0ms (13% 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

27.0MiB live, 27.0MiB 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)))

simplify170.0ms (3.4%)

Memory

-0.3MiB live, 197.5MiB 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))

rewrite423.0ms (8.6%)

Memory

-30.6MiB live, 313.7MiB 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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(neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (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))))))
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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))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #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 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 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)))
(-.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 y x)))
(-.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))

eval173.0ms (3.5%)

Memory: 12.8MiB live, 57.5MiB allocated
Compiler: Compiled 9 192 to 1 002 computations (89.1% saved)

prune6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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)))
✓	60.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	64.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
✓	40.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
▶	25.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))
▶	37.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 86 to 63 computations (26.7% saved)

simplify240.0ms (4.9%)

Memory

-5.6MiB live, 239.5MiB 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

localize152.0ms (3.1%)

Memory

-10.2MiB live, 37.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	22.85904922524437	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))
accuracy	32.664751566347995	#s(approx (* (+ -1 x) y) (neg.f64 y))
accuracy	39.88461648379646	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Samples

137.0ms	197×	0	valid
8.0ms	59×	1	valid

Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions

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

ival-mult: 4.0ms (30.8% of total)

ival-sub: 3.0ms (23.1% of total)

ival-add: 3.0ms (23.1% of total)

adjust: 2.0ms (15.4% of total)

ival-neg: 1.0ms (7.7% 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

6.7MiB live, 6.7MiB 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	y	@	0	((+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (* (+ -1 x) y) (neg y))
0.0ms	x	@	0	((+ x (* (- 1 x) (- 1 y))) (+ x (* (- 1 x) (- 1 y))) (* (+ -1 x) y) (neg y))

simplify175.0ms (3.6%)

Memory

12.2MiB live, 188.5MiB 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))

rewrite232.0ms (4.7%)

Memory

11.8MiB live, 301.1MiB 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)

eval2.0ms (0%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 240 to 41 computations (82.9% saved)

prune10.0ms (0.2%)

Memory

-49.6MiB live, 7.8MiB 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)))
✓	60.8%	#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
✓	64.3%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (+.f64 #s(literal -1 binary64) x) y))
✓	40.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
✓	25.6%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y)))
✓	37.7%	#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

Compiler

Compiled 181 to 91 computations (49.7% saved)

regimes10.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB 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:

3.0ms	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
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

19.0MiB live, 19.0MiB 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
87.6%	3	`(-.f64 #s(literal 1 binary64) y)`
89.5%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
88.7%	3	`x`
89.5%	3	`y`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes9.0ms (0.2%)

Memory

-34.4MiB live, 11.5MiB 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	x
2.0ms	y
2.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
88.5%	3	`x`
66.4%	3	`y`
74.8%	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

13.6MiB live, 13.6MiB 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
60.8%	1	`y`
60.8%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
60.8%	1	`(-.f64 #s(literal 1 binary64) y)`
60.8%	1	`x`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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	y
1.0ms	x
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
41.6%	3	`x`
60.0%	3	`(-.f64 #s(literal 1 binary64) y)`
60.0%	3	`y`
60.0%	3	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes6.0ms (0.1%)

Memory

-30.9MiB live, 14.7MiB 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:

3.0ms	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
37.7%	1	`x`
37.7%	1	`(-.f64 #s(literal 1 binary64) y)`
37.7%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
37.7%	1	`y`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	30908818842619.457	2.553101255923864e+26
0.0ms	0.0	0.9995955111024307

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch28.0ms (0.6%)

Memory

4.6MiB live, 49.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	166811.22254288473	30125366898.28014
10.0ms	-2.4934018852985223e+39	-5.5912175470623935e+38

Samples

8.0ms	190×	0	valid
5.0ms	50×	1	valid

Compiler

Compiled 402 to 327 computations (18.7% saved)

Precisions

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

ival-sub: 3.0ms (39.5% of total)

ival-mult: 2.0ms (26.4% of total)

adjust: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	14545311893.957853
0.0ms	-10.874638991190182	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

simplify67.0ms (1.4%)

Memory

-0.7MiB live, 51.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	44	182
1	68	182
2	88	182
3	114	182
4	149	182
5	202	182
6	342	182
7	1209	182
8	1406	182
9	2573	182
10	3854	164
11	6369	164
12	7719	164

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 -799999999999999981990478587648272236544 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 1160000000 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 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal -10 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y))) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 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 -799999999999999981990478587648272236544 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 1160000000 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 -799999999999999981990478587648272236544 binary64)) (not (<=.f64 x #s(literal 1160000000 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 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal -10 binary64)) #s(approx (+ x ( (- 1 x) (- 1 y))) #s(approx (* (+ -1 x) y) (neg.f64 y))) (if (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 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 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal -10 binary64)) (not (<=.f64 (+.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 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))

soundness891.0ms (18.1%)

Memory

25.3MiB live, 403.8MiB 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 212 to 88 computations (58.5% saved)

preprocess46.0ms (0.9%)

Memory: -8.0MiB live, 82.7MiB allocated
Compiler: Compiled 396 to 124 computations (68.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (25.1%)

explain162.0ms (3.3%)

preprocess17.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize27.0ms (0.5%)

series3.0ms (0.1%)

simplify160.0ms (3.2%)

rewrite188.0ms (3.8%)

eval50.0ms (1%)

prune4.0ms (0.1%)

simplify363.0ms (7.3%)

localize46.0ms (0.9%)

series7.0ms (0.1%)

simplify170.0ms (3.4%)

rewrite423.0ms (8.6%)

eval173.0ms (3.5%)

prune6.0ms (0.1%)

simplify240.0ms (4.9%)

localize152.0ms (3.1%)

series3.0ms (0.1%)

simplify175.0ms (3.6%)

rewrite232.0ms (4.7%)

eval2.0ms (0%)

prune10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch28.0ms (0.6%)

bsearch1.0ms (0%)

simplify67.0ms (1.4%)

soundness891.0ms (18.1%)

preprocess46.0ms (0.9%)

end0.0ms (0%)

Profiling