Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 9 to 8 computations (11.1% saved)

sample604.0ms (14.4%)

Memory

54.3MiB live, 751.2MiB allocated

Samples

381.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-add: 89.0ms (41.3% of total)

ival-mult: 66.0ms (30.6% of total)

ival-sub: 47.0ms (21.8% of total)

ival-true: 6.0ms (2.8% of total)

exact: 4.0ms (1.9% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain94.0ms (2.2%)

Memory

-33.7MiB live, 128.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) y)`
-	-	`y`
-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
-	-	`#s(literal 1 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-add: 4.0ms (35.8% of total)

ival-mult: 4.0ms (35.8% of total)

ival-sub: 2.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess53.0ms (1.3%)

Memory

2.4MiB live, 84.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	39	39
2	123	37
3	509	35
4	1023	35
5	1335	35
6	1376	35
7	1380	35
0	6	7
0	9	7
1	15	7
2	27	7
3	58	7
4	109	7
5	191	7
6	354	7
7	562	7
8	636	7
9	641	7
0	641	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify17.0ms (0.4%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-6.3MiB live, 31.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 2.0ms (42.5% of total)

ival-sub: 1.0ms (21.3% of total)

ival-add: 1.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())

#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())

#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify202.0ms (4.8%)

Memory

-43.7MiB live, 121.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	140	291
2	363	291
3	978	291
4	2455	291
5	3593	291
6	4358	291
7	5301	291
8	5827	291
9	6391	291
10	7434	291
0	8103	250

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

rewrite168.0ms (4%)

Memory

36.1MiB live, 186.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13

Stop Event

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

Counts

3 → 328

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval60.0ms (1.4%)

Memory: -15.2MiB live, 103.6MiB allocated
Compiler: Compiled 7 966 to 1 055 computations (86.8% saved)

prune10.0ms (0.2%)

Memory

-6.6MiB live, 32.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	379	5	384
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	380	5	385

Accuracy

100.0%

Counts

385 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (-.f64 y x))
▶	71.1%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	65.3%	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
▶	64.4%	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
▶	37.4%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 52 to 46 computations (11.5% saved)

simplify28.0ms (0.7%)

Memory

10.8MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
0	26	85
1	46	85
2	73	85
3	105	85
4	223	85
5	384	85
6	545	85
7	617	85
8	620	85
9	622	85
0	622	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (1%)

Memory

-3.5MiB live, 77.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	0.0078125	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	34.07166366567648	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(fma.f64 x y (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	22.197910717922664	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
accuracy	0	(fma.f64 x y y)
accuracy	22.78481665173531	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
accuracy	0	(neg.f64 x)
accuracy	40.07201422032906	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy	0	(fma.f64 y x (-.f64 y x))
accuracy	0	(-.f64 y x)

Samples

25.0ms

256×

valid

Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions

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

ival-mult: 5.0ms (34.2% of total)

ival-add: 4.0ms (27.3% of total)

ival-sub: 3.0ms (20.5% of total)

ival-neg: 2.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

11 → 240

Calls

Call 1

Inputs
#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())
#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 x) (taylor 0 y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify226.0ms (5.4%)

Memory

-32.0MiB live, 153.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1199
1	210	1199
2	537	1199
3	1151	1199
4	2472	1199
5	3518	1199
6	4268	1199
7	5211	1199
8	5738	1199
9	6302	1199
10	7361	1199
0	8030	1057

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 228

Calls

Call 1

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

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

rewrite214.0ms (5.1%)

Memory

-5.1MiB live, 189.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	26	73
1	126	73
2	976	69
0	9656	68

Stop Event

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

Counts

11 → 439

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval138.0ms (3.3%)

Memory: 15.3MiB live, 136.9MiB allocated
Compiler: Compiled 10 883 to 1 243 computations (88.6% saved)

prune21.0ms (0.5%)

Memory

-12.5MiB live, 59.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	695	2	697
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	695	7	702

Accuracy

100.0%

Counts

702 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
✓	71.1%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	65.3%	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
✓	64.4%	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓	37.4%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	30.8%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
▶	2.7%	#s(approx (- (* (+ x 1) y) x) x)

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify20.0ms (0.5%)

Memory

-18.6MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	14	41
1	25	41
2	44	41
3	76	41
4	150	41
5	290	41
6	442	41
7	509	41
8	512	41
0	512	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

28.9MiB live, 28.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	22.197910717922664	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
accuracy	31.137429098281867	#s(approx (+ (* x y) (neg x)) (*.f64 y x))
accuracy	62.25583022231821	#s(approx (- (* (+ x 1) y) x) x)

Samples

17.0ms

256×

valid

Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions

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

ival-mult: 5.0ms (49.2% of total)

ival-add: 3.0ms (29.5% of total)

ival-sub: 1.0ms (9.8% of total)

ival-neg: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (1%)

Memory

-34.1MiB live, 4.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (.f64 y x)) (patch #s(approx (+ ( x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify381.0ms (9.1%)

Memory

10.9MiB live, 203.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	483
1	134	483
2	362	483
3	977	483
4	2490	483
5	3685	483
6	4434	483
7	4822	483
8	5060	483
9	5211	483
10	5317	483
0	8590	443

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

Outputs
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
y
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite373.0ms (8.9%)

Memory

-1.3MiB live, 123.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	14	38
1	60	38
2	457	38
3	6141	38
0	8085	34

Stop Event

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

Counts

4 → 39

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval12.0ms (0.3%)

Memory: 17.2MiB live, 17.2MiB allocated
Compiler: Compiled 920 to 151 computations (83.6% saved)

prune7.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	133	7	140

Accuracy

100.0%

Counts

140 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
✓	71.1%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	65.3%	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
✓	64.4%	#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓	37.4%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	30.8%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
✓	2.7%	#s(approx (- (* (+ x 1) y) x) x)

Compiler

Compiled 73 to 52 computations (28.8% saved)

regimes26.0ms (0.6%)

Memory

-25.0MiB live, 13.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (-.f64 y x))

Calls

3 calls:

19.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	3	`x`
99.3%	3	`y`
89.8%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
90.5%	3	`x`
87.1%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes18.0ms (0.4%)

Memory

-26.9MiB live, 9.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.9%	3	`y`
69.1%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
69.8%	4	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.2%	4	`x`
53.8%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
64.8%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
37.4%	1	`x`
37.4%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
37.4%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
2.7%	1	`x`
2.7%	1	`y`
2.7%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch52.0ms (1.2%)

Memory

-4.9MiB live, 42.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	0.0012289513178321808	29957029.924406834
12.0ms	-3.646362466849514e+25	-1977839711015843.0

Samples

27.0ms

320×

valid

Compiler

Compiled 230 to 251 computations (-9.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 16.0ms (79.8% of total)

ival-add: 2.0ms (10% of total)

ival-mult: 2.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.6%)

Memory

-16.4MiB live, 56.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.354131113729128e-35	1.5319428654725712e-33
14.0ms	-4.623327282508322e-127	-5.860467083346999e-130

Samples

10.0ms	239×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 175 to 176 computations (-0.6% saved)

Precisions

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

ival-mult: 2.0ms (43.4% of total)

ival-add: 1.0ms (21.7% of total)

ival-sub: 1.0ms (21.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch24.0ms (0.6%)

Memory

20.9MiB live, 58.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.5114727699797227e-23	1.3377966679076893e-14
9.0ms	-4.7529568891015897e-42	-2.0494628272590442e-46

Samples

11.0ms

272×

valid

Compiler

Compiled 146 to 181 computations (-24% saved)

Precisions

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

ival-add: 2.0ms (40.1% of total)

ival-mult: 2.0ms (40.1% of total)

ival-sub: 1.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	29957029.924406834	650961130.5804183
1.0ms	-3.646362466849514e+25	-1977839711015843.0

Samples

4.0ms

112×

valid

Compiler

Compiled 146 to 198 computations (-35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (50% of total)

ival-mult: 1.0ms (50% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify53.0ms (1.3%)

Memory

-10.1MiB live, 74.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	208
1	55	208
2	59	208
3	60	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -2000000000000000 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 x #s(literal -2743724311801165/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (if (<=.f64 x #s(literal 5799238496929023/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))))
(if (<=.f64 y #s(literal -4001652356309009/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 8515366847997117/41538374868278621028243970633760768 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2000000000000000 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (if (<=.f64 y #s(literal 30000000 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)

Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -2000000000000000 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 x #s(literal -2743724311801165/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (if (<=.f64 x #s(literal 5799238496929023/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))))
(if (<=.f64 y #s(literal -4001652356309009/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 8515366847997117/41538374868278621028243970633760768 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2000000000000000 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 y x))) (if (<=.f64 y #s(literal 30000000 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -2000000000000000 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (.f64 x y))) (if (<=.f64 y #s(literal 30000000 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)

soundness1.1s (26.7%)

Memory

-3.3MiB live, 592.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	140	291
2	363	291
3	978	291
4	2455	291
5	3593	291
6	4358	291
7	5301	291
8	5827	291
9	6391	291
10	7434	291
0	8103	250
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13
0	64	1199
1	210	1199
2	537	1199
3	1151	1199
4	2472	1199
5	3518	1199
6	4268	1199
7	5211	1199
8	5738	1199
9	6302	1199
10	7361	1199
0	8030	1057
0	17	76
0	26	73
1	126	73
2	976	69
0	9656	68

Stop Event

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

Compiler

Compiled 153 to 87 computations (43.1% saved)

preprocess68.0ms (1.6%)

Memory: 0.5MiB live, 73.2MiB allocated
Compiler: Compiled 218 to 90 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	17	88
0	26	85
1	46	85
2	73	85
3	105	85
4	223	85
5	384	85
6	545	85
7	617	85
8	620	85
9	622	85
0	622	85

Iter	Nodes	Cost
0	13	43
0	14	41
1	25	41
2	44	41
3	76	41
4	150	41
5	290	41
6	442	41
7	509	41
8	512	41
0	512	39

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	17	88
0	26	85
1	46	85
2	73	85
3	105	85
4	223	85
5	384	85
6	545	85
7	617	85
8	620	85
9	622	85
0	622	85

Iter	Nodes	Cost
0	13	43
0	14	41
1	25	41
2	44	41
3	76	41
4	150	41
5	290	41
6	442	41
7	509	41
8	512	41
0	512	39

start0.0ms (0%)

analyze0.0ms (0%)

sample604.0ms (14.4%)

explain94.0ms (2.2%)

preprocess53.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify17.0ms (0.4%)

localize18.0ms (0.4%)

series4.0ms (0.1%)

simplify202.0ms (4.8%)

rewrite168.0ms (4%)

eval60.0ms (1.4%)

prune10.0ms (0.2%)

simplify28.0ms (0.7%)

localize44.0ms (1%)

series11.0ms (0.3%)

simplify226.0ms (5.4%)

rewrite214.0ms (5.1%)

eval138.0ms (3.3%)

prune21.0ms (0.5%)

simplify20.0ms (0.5%)

localize24.0ms (0.6%)

series40.0ms (1%)

simplify381.0ms (9.1%)

rewrite373.0ms (8.9%)

eval12.0ms (0.3%)

prune7.0ms (0.2%)

regimes26.0ms (0.6%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes18.0ms (0.4%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch52.0ms (1.2%)

bsearch27.0ms (0.6%)

bsearch24.0ms (0.6%)

bsearch10.0ms (0.2%)

simplify53.0ms (1.3%)

soundness1.1s (26.7%)

preprocess68.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	17	88
0	26	85
1	46	85
2	73	85
3	105	85
4	223	85
5	384	85
6	545	85
7	617	85
8	620	85
9	622	85
0	622	85

Iter	Nodes	Cost
0	13	43
0	14	41
1	25	41
2	44	41
3	76	41
4	150	41
5	290	41
6	442	41
7	509	41
8	512	41
0	512	39