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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.1s (21.6%)

Memory

17.1MiB live, 891.9MiB allocated

Samples

684.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-add: 67.0ms (38.5% of total)

ival-mult: 57.0ms (32.8% of total)

ival-sub: 37.0ms (21.3% of total)

ival-true: 5.0ms (2.9% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain98.0ms (1.9%)

Memory

-16.4MiB live, 104.2MiB 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

22.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

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

ival-add: 3.0ms (31.2% of total)

ival-mult: 3.0ms (31.2% of total)

ival-sub: 2.0ms (20.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess77.0ms (1.5%)

Memory

-6.3MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Rules

496×	`lower-fma.f64`
496×	`lower-fma.f32`
232×	`unsub-neg`
192×	`lower-*.f32`
190×	`lower-*.f64`

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 x y (-.f64 y x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 9 to 6 computations (33.3% saved)

simplify21.0ms (0.4%)

Memory

23.3MiB live, 23.3MiB 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)

Rules

496×	`lower-fma.f64`
496×	`lower-fma.f32`
192×	`lower-*.f32`
190×	`lower-*.f64`
136×	`lower-+.f32`

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

localize45.0ms (0.9%)

Memory

-12.1MiB live, 25.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy	0.015625	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Samples

39.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (55.4% of total)

ival-sub: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% 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

5.9MiB live, 5.9MiB 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 (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 (* 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) (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 (* 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 (* 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 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 (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 (* 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 (* -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 (* -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 (+.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 (+.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 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 (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 (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

15 calls:

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

simplify346.0ms (6.7%)

Memory

1.2MiB live, 161.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
3 480×	`lower-fma.f64`
3 480×	`lower-fma.f32`
1 896×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	140	291
2	363	291
3	978	291
4	2464	291
5	3594	291
6	4353	291
7	5298	291
8	5824	291
9	6390	291
10	7433	291
0	8102	250

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

Outputs
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)
(* 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)
(*.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)
(* 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))
(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))
(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)
(* 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)
(* -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)
(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 (* -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)
(* -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
#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
(* 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
(* 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))

rewrite355.0ms (6.9%)

Memory

-1.2MiB live, 328.2MiB allocated

Rules

5 040×	`lower-fma.f64`
5 040×	`lower-fma.f32`
3 674×	`lower-/.f64`
3 674×	`lower-/.f32`
3 510×	`lower-*.f32`

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
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 x y) y)
(exp.f64 (log.f64 (fma.f64 x y y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 y (.f64 x (.f64 x x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 y (.f64 x (.f64 x x)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 y (.f64 x (.f64 x x)) y)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 (.f64 y y) (.f64 x x) (-.f64 (.f64 y y) (.f64 (*.f64 x y) y))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y y (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 x x))) (-.f64 y (*.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) y) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (exp.f64 (log.f64 (fma.f64 y (.f64 x (.f64 x x)) y))) (exp.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (exp.f64 (log.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 x (.f64 x x)) y))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 (.f64 y y) (.f64 x x) (-.f64 (.f64 y y) (.f64 (*.f64 x y) y)))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y y (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y y))) (neg.f64 (-.f64 (*.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 x x)))) (neg.f64 (-.f64 y (*.f64 x y))))
(/.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 y (.f64 x (.f64 x x)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) y))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 y (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (+.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 y (.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 y (.f64 x (*.f64 x x)) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)))
(+.f64 y (fma.f64 x y (neg.f64 x)))
(+.f64 y (-.f64 (*.f64 x y) x))
(+.f64 (fma.f64 x y y) (neg.f64 x))
(+.f64 (neg.f64 x) (fma.f64 x y y))
(+.f64 (/.f64 (.f64 (fma.f64 x y y) (.f64 (fma.f64 x y y) (fma.f64 x y y))) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y))))))
(+.f64 (/.f64 (.f64 (fma.f64 x y y) (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y)))))
(+.f64 (*.f64 x y) (+.f64 y (neg.f64 x)))
(+.f64 (*.f64 x y) (-.f64 y x))
(+.f64 (+.f64 (neg.f64 x) (*.f64 x y)) y)
(+.f64 (+.f64 (neg.f64 x) y) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y y) x))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 x y y)))
(-.f64 (/.f64 (.f64 (fma.f64 x y y) (.f64 (fma.f64 x y y) (fma.f64 x y y))) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))))
(-.f64 (/.f64 (.f64 (fma.f64 x y y) (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y))))
(-.f64 (+.f64 (fma.f64 x y y) #s(literal 0 binary64)) x)
(fma.f64 x y (+.f64 y (neg.f64 x)))
(fma.f64 x y (-.f64 y x))
(fma.f64 x #s(literal -1 binary64) (fma.f64 x y y))
(fma.f64 #s(literal 1 binary64) y (fma.f64 x y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (-.f64 (*.f64 x y) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 x y y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 y x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 y (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y)))))
(fma.f64 y x (+.f64 y (neg.f64 x)))
(fma.f64 y x (-.f64 y x))
(fma.f64 y #s(literal 1 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (-.f64 (*.f64 x y) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 y (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y)))))
(fma.f64 (fma.f64 x y y) (/.f64 (.f64 (fma.f64 x y y) (fma.f64 x y y)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (*.f64 (fma.f64 x y y) (fma.f64 x y y))))))
(fma.f64 (fma.f64 x y y) (/.f64 (fma.f64 x y y) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 x y y)))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) y) (neg.f64 x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (neg.f64 x))
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(/.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))

eval90.0ms (1.7%)

Memory: -21.0MiB live, 103.3MiB allocated
Compiler: Compiled 11 207 to 1 034 computations (90.8% saved)

prune56.0ms (1.1%)

Memory

-5.7MiB live, 152.9MiB 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))
▶	76.4%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	64.3%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	60.1%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
▶	41.5%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 72 to 38 computations (47.2% saved)

simplify33.0ms (0.6%)

Memory

23.7MiB live, 60.1MiB 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	(*.f64 y x)
cost-diff	0	#s(approx (* (+ x 1) y) (*.f64 y x))
cost-diff	0	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
cost-diff	0	(fma.f64 y x y)
cost-diff	0	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x 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))

Rules

672×	`lower-fma.f32`
668×	`lower-fma.f64`
288×	`lower-*.f32`
284×	`lower-*.f64`
192×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87

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

localize46.0ms (0.9%)

Memory

-21.0MiB live, 94.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	0.015625	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	30.915646202819804	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy	32.073272334302025	#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy	0	(fma.f64 y x y)
accuracy	25.52862700705669	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
accuracy	0	(neg.f64 x)
accuracy	37.47185989375328	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy	0	(fma.f64 y x (-.f64 y x))
accuracy	0	(-.f64 y x)

Samples

22.0ms

256×

valid

Compiler

Compiled 73 to 13 computations (82.2% saved)

Precisions

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

ival-mult: 4.0ms (37.7% of total)

ival-add: 3.0ms (28.3% of total)

ival-sub: 2.0ms (18.9% of total)

ival-neg: 1.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

12 → 264

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

66 calls:

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

simplify212.0ms (4.1%)

Memory

-30.0MiB live, 254.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
3 480×	`lower-fma.f64`
3 480×	`lower-fma.f32`
1 922×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1270
1	193	1270
2	505	1270
3	1125	1270
4	2448	1270
5	3564	1270
6	4317	1270
7	5261	1270
8	5787	1270
9	6353	1270
10	7396	1270
0	8065	1107

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 251

Calls

Call 1

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

rewrite351.0ms (6.8%)

Memory

44.6MiB live, 390.8MiB allocated

Rules

12 986×	`lower-fma.f32`
12 982×	`lower-fma.f64`
5 342×	`lower-*.f32`
5 338×	`lower-*.f64`
3 420×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	81
0	26	81
1	114	77
2	919	77
0	8653	77

Stop Event

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

Counts

12 → 460

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

eval169.0ms (3.3%)

Memory: -24.2MiB live, 228.0MiB allocated
Compiler: Compiled 14 136 to 1 151 computations (91.9% saved)

prune128.0ms (2.5%)

Memory

-1.8MiB live, 153.8MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	709	2	711
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	711	5	716

Accuracy

100.0%

Counts

716 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
✓	76.4%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	60.1%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	41.5%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	25.5%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 35 to 18 computations (48.6% saved)

simplify38.0ms (0.7%)

Memory

3.5MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

576×	`lower-fma.f32`
574×	`lower-fma.f64`
224×	`lower-*.f32`
222×	`lower-*.f64`
160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	18	50
1	30	50
2	45	50
3	67	50
4	145	50
5	241	50
6	393	50
7	540	50
8	591	50
9	619	50
10	631	50
11	651	50
12	658	50
13	660	50
0	660	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.7%)

Memory

-3.3MiB live, 69.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
accuracy	0	(neg.f64 x)
accuracy	31.717549550577267	#s(approx (- y x) (neg.f64 x))
accuracy	0	(*.f64 x y)
accuracy	25.52862700705669	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy	32.073272334302025	#s(approx (+ (* y x) y) (*.f64 x y))

Samples

24.0ms

256×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

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

ival-add: 6.0ms (40.6% of total)

ival-mult: 5.0ms (33.8% of total)

ival-sub: 2.0ms (13.5% of total)

ival-neg: 1.0ms (6.8% 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

8.3MiB live, 8.3MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify239.0ms (4.6%)

Memory

28.0MiB live, 183.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 144×	`lower-fma.f64`
4 144×	`lower-fma.f32`
2 900×	`lower-*.f64`
2 900×	`lower-*.f32`
1 736×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	569
1	184	569
2	495	569
3	1074	569
4	2274	569
5	3364	569
6	4252	569
7	4851	569
8	5148	569
9	5336	569
10	5426	569
11	6156	569
12	7077	569
13	7745	569
0	8059	508

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 126

Calls

Call 1

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

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

rewrite301.0ms (5.8%)

Memory

-22.6MiB live, 378.2MiB allocated

Rules

9 372×	`lower-fma.f32`
9 370×	`lower-fma.f64`
5 354×	`lower-*.f32`
5 352×	`lower-*.f64`
3 994×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
0	18	46
1	82	46
2	616	46
0	8463	43

Stop Event

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

Counts

6 → 103

Calls

Call 1

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

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

eval42.0ms (0.8%)

Memory: 10.4MiB live, 47.4MiB allocated
Compiler: Compiled 4 277 to 272 computations (93.6% saved)

prune21.0ms (0.4%)

Memory

15.2MiB live, 52.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	229	5	234

Accuracy

100.0%

Counts

234 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
✓	76.4%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	60.1%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	41.5%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	25.5%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 81 to 34 computations (58% saved)

regimes15.0ms (0.3%)

Memory

-21.5MiB live, 22.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

9.0ms	(-.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 15 to 10 computations (33.3% saved)

regimes10.0ms (0.2%)

Memory

-16.4MiB live, 21.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.3%	3	`y`
91.8%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.1%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
86.8%	3	`x`
88.3%	3	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

-15.5MiB live, 18.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
2.0ms	y
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
55.9%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
44.9%	2	`x`
63.7%	3	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.5%	1	`x`
41.5%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
41.5%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch66.0ms (1.3%)

Memory

-28.9MiB live, 79.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.482205590051636e-17	0.00027889956974079896
14.0ms	-28304112266.056538	-0.013420829416777948

Samples

12.0ms

320×

valid

Compiler

Compiled 352 to 211 computations (40.1% saved)

Precisions

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

ival-add: 2.0ms (34.7% of total)

ival-mult: 2.0ms (34.7% of total)

ival-sub: 1.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.6%)

Memory

-17.4MiB live, 58.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.482205590051636e-17	0.00027889956974079896
16.0ms	-1.352676120067251e-64	-3.799894275906384e-73

Samples

16.0ms	287×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 335 to 182 computations (45.7% saved)

Precisions

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

ival-add: 2.0ms (37.7% of total)

ival-mult: 2.0ms (37.7% of total)

ival-sub: 1.0ms (18.8% 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)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.482205590051636e-17	0.00027889956974079896
1.0ms	-1.352676120067251e-64	-3.799894275906384e-73

Compiler

Compiled 278 to 163 computations (41.4% saved)

bsearch12.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1475.3281978739756	510969631754.45593
1.0ms	-28304112266.056538	-0.013420829416777948

Samples

5.0ms

144×

valid

Compiler

Compiled 278 to 163 computations (41.4% saved)

Precisions

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

ival-sub: 1.0ms (40.4% of total)

ival-add: 1.0ms (40.4% of total)

ival-mult: 1.0ms (40.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Memory

-21.8MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	194
1	51	194
2	56	194
3	57	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4980620899901579/18446744073709551616 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -7778264119263173/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 237684487542793/316912650057057350374175801344 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -7778264119263173/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 237684487542793/316912650057057350374175801344 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (if (<=.f64 y #s(literal 1500 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4980620899901579/18446744073709551616 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4980620899901579/18446744073709551616 binary64)) (-.f64 (.f64 y #s(approx (+ x 1) #s(literal 1 binary64))) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -7778264119263173/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 237684487542793/316912650057057350374175801344 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -7778264119263173/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 237684487542793/316912650057057350374175801344 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (if (<=.f64 y #s(literal 1500 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 1500 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

soundness1.0s (19.9%)

Memory

35.6MiB live, 473.7MiB allocated

Rules

5 040×	`lower-fma.f64`
5 040×	`lower-fma.f32`
4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
4 192×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1270
1	193	1270
2	505	1270
3	1125	1270
4	2448	1270
5	3564	1270
6	4317	1270
7	5261	1270
8	5787	1270
9	6353	1270
10	7396	1270
0	8065	1107
0	41	291
1	140	291
2	363	291
3	978	291
4	2464	291
5	3594	291
6	4353	291
7	5298	291
8	5824	291
9	6390	291
10	7433	291
0	8102	250
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13

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

Compiler

Compiled 168 to 69 computations (58.9% saved)

preprocess127.0ms (2.5%)

Memory: -21.3MiB live, 103.9MiB allocated
Compiler: Compiled 220 to 70 computations (68.2% 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	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87

Iter	Nodes	Cost
0	15	50
0	18	50
1	30	50
2	45	50
3	67	50
4	145	50
5	241	50
6	393	50
7	540	50
8	591	50
9	619	50
10	631	50
11	651	50
12	658	50
13	660	50
0	660	47

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	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87

Iter	Nodes	Cost
0	15	50
0	18	50
1	30	50
2	45	50
3	67	50
4	145	50
5	241	50
6	393	50
7	540	50
8	591	50
9	619	50
10	631	50
11	651	50
12	658	50
13	660	50
0	660	47

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (21.6%)

explain98.0ms (1.9%)

preprocess77.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.4%)

localize45.0ms (0.9%)

series4.0ms (0.1%)

simplify346.0ms (6.7%)

rewrite355.0ms (6.9%)

eval90.0ms (1.7%)

prune56.0ms (1.1%)

simplify33.0ms (0.6%)

localize46.0ms (0.9%)

series10.0ms (0.2%)

simplify212.0ms (4.1%)

rewrite351.0ms (6.8%)

eval169.0ms (3.3%)

prune128.0ms (2.5%)

simplify38.0ms (0.7%)

localize36.0ms (0.7%)

series4.0ms (0.1%)

simplify239.0ms (4.6%)

rewrite301.0ms (5.8%)

eval42.0ms (0.8%)

prune21.0ms (0.4%)

regimes15.0ms (0.3%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch66.0ms (1.3%)

bsearch29.0ms (0.6%)

bsearch1.0ms (0%)

bsearch12.0ms (0.2%)

simplify12.0ms (0.2%)

soundness1.0s (19.9%)

preprocess127.0ms (2.5%)

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	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87

Iter	Nodes	Cost
0	15	50
0	18	50
1	30	50
2	45	50
3	67	50
4	145	50
5	241	50
6	393	50
7	540	50
8	591	50
9	619	50
10	631	50
11	651	50
12	658	50
13	660	50
0	660	47