Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

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 (14.1%)

Memory

-112.8MiB live, 652.8MiB allocated

Samples

711.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 252.0ms

ival-mult: 177.0ms (70.4% of total)

ival-sub: 61.0ms (24.3% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain92.0ms (1.2%)

Memory

24.5MiB live, 106.8MiB allocated

FPErrors

Click to see full error table

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

48.0ms

512×

valid

Compiler

Compiled 69 to 31 computations (55.1% saved)

Precisions

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

ival-mult: 7.0ms (69.7% of total)

ival-sub: 2.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess74.0ms (1%)

Memory

-14.8MiB live, 60.5MiB allocated

Algorithm

1×	egg-herbie

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
184×	`lower-*.f32`
180×	`lower-*.f64`
146×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify18.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
184×	`lower-*.f32`
180×	`lower-*.f64`
74×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.3%)

Memory

-6.9MiB live, 32.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0.05859375	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

18.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 10.0ms (85.1% of total)

ival-sub: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 72

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

18 calls:

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

simplify340.0ms (4.5%)

Memory

-34.8MiB live, 274.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 738×	`lower-fma.f64`
4 738×	`lower-fma.f32`
4 354×	`lower-*.f64`
4 354×	`lower-*.f32`
2 520×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2428	332
5	5830	332
0	8058	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite483.0ms (6.4%)

Memory

-4.1MiB live, 984.1MiB allocated

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
3 708×	`lower-*.f32`
3 704×	`lower-*.f64`
3 004×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13

Stop Event

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

Counts

3 → 614

Calls

Call 1

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

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

eval88.0ms (1.2%)

Memory: -13.1MiB live, 189.9MiB allocated
Compiler: Compiled 27 249 to 1 630 computations (94% saved)

prune82.0ms (1.1%)

Memory

24.7MiB live, 223.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	679	5	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	680	5	685

Accuracy

100.0%

Counts

685 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
▶	88.9%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	63.6%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))))
▶	49.1%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))
▶	52.9%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 114 to 62 computations (45.6% saved)

simplify348.0ms (4.6%)

Memory

-3.4MiB live, 390.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))))
cost-diff	256	(.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
cost-diff	960	(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 x (neg.f64 x))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 x)) y x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 y (neg.f64 x))
cost-diff	0	#s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))
cost-diff	0	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) x x)

Rules

7 312×	`lower-fma.f32`
7 306×	`lower-fma.f64`
2 096×	`lower-+.f32`
2 094×	`lower-+.f64`
1 984×	`lower-*.f32`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	25	164
0	45	164
1	94	162
2	180	162
3	478	157
4	1214	154
5	1703	150
6	2446	150
7	2992	150
8	3405	150
9	3448	150
10	3489	150
11	4321	150
12	4717	150
13	4819	150
14	5100	150
15	5438	149
16	5912	149
17	7812	149
0	8339	149

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.2%)

Memory

9.9MiB live, 215.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))))
accuracy	0.45400529825939956	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
accuracy	11.759856546924302	(/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))
accuracy	20.660559001478415	(.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
accuracy	0	(*.f64 x (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	7.0801306053496225	(fma.f64 (*.f64 x (neg.f64 x)) y x)
accuracy	0	(*.f64 y (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))
accuracy	33.019310394730574	#s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	30.2628872138314	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	0.05078125	(fma.f64 (*.f64 x (neg.f64 y)) x x)

Samples

45.0ms

256×

valid

Compiler

Compiled 162 to 26 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 16.0ms (54.9% of total)

ival-add: 5.0ms (17.2% of total)

ival-div: 3.0ms (10.3% of total)

ival-neg: 3.0ms (10.3% of total)

ival-sub: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-12.6MiB live, 63.6MiB allocated

Counts

16 → 348

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3)))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2)))))>
#<alt (* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y)))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))>
#<alt (* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* x (- (* x (pow y 2)) y)))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* y (- (* (pow x 2) y) x)))>
#<alt (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (* x y))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (pow y 2)) y))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x (pow y 2)))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x (pow y 2))) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow x 3) y)) (pow x 2))>
#<alt (+ (* y (- (* (pow x 4) y) (pow x 3))) (pow x 2))>
#<alt (+ (* y (- (* y (- (* -1 (* (pow x 5) y)) (* -1 (pow x 4)))) (pow x 3))) (pow x 2))>
#<alt (/ x y)>
#<alt (/ (- x (/ 1 y)) y)>
#<alt (/ (- (+ x (/ 1 (* x (pow y 2)))) (/ 1 y)) y)>
#<alt (/ (- (+ x (/ 1 (* x (pow y 2)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ 1 y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ 1 (* x y)) 1) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))) y))>

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1)))))
2.0ms	x	@	0	(+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1))))
2.0ms	y	@	inf	(+ (* (* x (neg y)) x) x)
1.0ms	y	@	inf	(+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1))))
1.0ms	x	@	inf	(+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1))))

simplify338.0ms (4.5%)

Memory

-6.6MiB live, 631.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 924×	`lower-fma.f64`
8 924×	`lower-fma.f32`
3 466×	`lower-*.f64`
3 466×	`lower-*.f32`
2 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	2581
1	825	2356
2	2301	2260
3	7270	2260
0	8120	2240

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 338

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -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))
(* -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))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 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))
(* -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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3)))))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2)))))
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2)))))
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y)))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(/ 1 (* x y))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(/ 1 (* x y))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(/ 1 (* x y))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (* x y))))
(* (pow x 2) (+ 1 (* x (- (* x (pow y 2)) y))))
(* (pow x 2) (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x (pow y 2)))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x (pow y 2))) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))))
(pow x 2)
(+ (* -1 (* (pow x 3) y)) (pow x 2))
(+ (* y (- (* (pow x 4) y) (pow x 3))) (pow x 2))
(+ (* y (- (* y (- (* -1 (* (pow x 5) y)) (* -1 (pow x 4)))) (pow x 3))) (pow x 2))
(/ x y)
(/ (- x (/ 1 y)) y)
(/ (- (+ x (/ 1 (* x (pow y 2)))) (/ 1 y)) y)
(/ (- (+ x (/ 1 (* x (pow y 2)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ 1 y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ 1 (* x y)) 1) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))) y))

Outputs
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(-.f64 x (.f64 x (.f64 x y)))
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(.f64 (.f64 y y) (fma.f64 x (.f64 x (fma.f64 x y #s(literal -1 binary64))) (.f64 (*.f64 y y) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))
(.f64 (.f64 y y) (fma.f64 x (.f64 x (fma.f64 x y #s(literal -1 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2)))))
(-.f64 #s(literal 1 binary64) (fma.f64 x y (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- x (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y)))))
(-.f64 #s(literal 1 binary64) (fma.f64 x y (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) (*.f64 x y))
(* -1 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 x (*.f64 x (neg.f64 y))))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))
(.f64 y (.f64 (.f64 x x) (.f64 y (fma.f64 x y #s(literal -1 binary64)))))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(.f64 (.f64 x x) (fma.f64 y (.f64 y (fma.f64 x y #s(literal -1 binary64))) (.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 x (pow.f64 y #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 y (.f64 y (fma.f64 x y #s(literal -1 binary64)))))))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))
(-.f64 #s(literal 1 binary64) (fma.f64 x y (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))
(-.f64 #s(literal 1 binary64) (fma.f64 x y (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) (*.f64 x y))
x
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (.f64 x (.f64 x y)))
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (.f64 x (.f64 x y)))
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (.f64 x (.f64 x y)))
(* -1 (* (pow x 2) y))
(.f64 x (.f64 x (neg.f64 y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
(* -1 (* (pow x 2) y))
(.f64 x (.f64 x (neg.f64 y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (.f64 x (.f64 x y)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (.f64 x (.f64 x y)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (.f64 x (.f64 x y)))
(* -1 (* (pow x 2) y))
(.f64 x (.f64 x (neg.f64 y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (.f64 x (.f64 x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (.f64 x (.f64 x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (.f64 x (.f64 x y)))
(* -1 (* (pow x 2) y))
(.f64 x (.f64 x (neg.f64 y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (.f64 x (.f64 x y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (.f64 x (.f64 x y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (.f64 x (.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(+ 1 (* x (- (* x (pow y 2)) y)))
(fma.f64 x (*.f64 y (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(fma.f64 x (fma.f64 x (neg.f64 (.f64 y (.f64 y (fma.f64 x y #s(literal -1 binary64))))) (neg.f64 y)) #s(literal 1 binary64))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) y) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) y) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) y) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(+ 1 (* y (- (* (pow x 2) y) x)))
(fma.f64 x (*.f64 y (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(fma.f64 y (-.f64 (neg.f64 (.f64 (.f64 x x) (*.f64 y (fma.f64 x y #s(literal -1 binary64))))) x) #s(literal 1 binary64))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y)))))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 y y))))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (pow.f64 x #s(literal 4 binary64))))))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y)))))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x)) y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (* x y))))
(.f64 x (-.f64 x (.f64 x (*.f64 x y))))
(* (pow x 2) (+ 1 (* x (- (* x (pow y 2)) y))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x))
(* (pow x 2) (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (neg.f64 (.f64 y (.f64 y (fma.f64 x y #s(literal -1 binary64))))) (neg.f64 y)) x))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x (pow y 2)))))
(/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y)
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 y y)))) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))))
(.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) y) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (pow.f64 y #s(literal 4 binary64)))))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x (pow y 2))) (/ 1 y))))
(/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 y y)))) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))))
(.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) y)))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* (pow x 3) y)) (pow x 2))
(.f64 x (-.f64 x (.f64 x (*.f64 x y))))
(+ (* y (- (* (pow x 4) y) (pow x 3))) (pow x 2))
(fma.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 x (.f64 x (.f64 x y)))))
(+ (* y (- (* y (- (* -1 (* (pow x 5) y)) (* -1 (pow x 4)))) (pow x 3))) (pow x 2))
(fma.f64 y (.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (pow.f64 x #s(literal 5 binary64))))) (.f64 x (-.f64 x (.f64 x (*.f64 x y)))))
(/ x y)
(/.f64 x y)
(/ (- x (/ 1 y)) y)
(/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ x (/ 1 (* x (pow y 2)))) (/ 1 y)) y)
(/.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)) y)
(/ (- (+ x (/ 1 (* x (pow y 2)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) y)
(/.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ 1 y)) y))
(/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ 1 (* x y)) 1) y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 x y))) y)) y)

rewrite422.0ms (5.6%)

Memory

7.2MiB live, 1 039.0MiB allocated

Rules

12 996×	`lower-fma.f32`
12 990×	`lower-fma.f64`
5 652×	`lower-*.f32`
5 634×	`lower-*.f64`
2 992×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	137
0	45	107
1	166	105
2	1015	105
0	9126	105

Stop Event

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

Counts

16 → 983

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x (neg.f64 y))))
(+.f64 (.f64 x (.f64 x (neg.f64 y))) x)
(+.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 y (.f64 x y)))))
(+.f64 (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 y (.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y))))))
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 y (.f64 x y))))
(-.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y)))) (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 x (.f64 x y)))) (/.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))) (+.f64 x (.f64 x (.f64 x y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 x y #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 x x) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) (.f64 y (.f64 x y)))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 x y)))) (fma.f64 x y #s(literal 1 binary64))))))
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (neg.f64 y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 y (.f64 x y)))))
(fma.f64 x (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 #s(literal -1 binary64) (.f64 x y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 x (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (*.f64 y y))) x) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 y (neg.f64 (*.f64 x x)) x)
(fma.f64 y (.f64 (neg.f64 y) (.f64 (*.f64 x x) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 y (.f64 (.f64 (neg.f64 y) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))) x) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 (neg.f64 y) (.f64 (.f64 y (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))) x) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) (.f64 y (.f64 (*.f64 x x) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (neg.f64 y))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 y (.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 y (.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 (*.f64 x y) (neg.f64 x) x)
(fma.f64 (.f64 x y) (.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 (neg.f64 x) (*.f64 x y) x)
(fma.f64 (neg.f64 x) (/.f64 (.f64 x (.f64 y (*.f64 x y))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
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(+.f64 (.f64 (.f64 x y) (/.f64 (.f64 x x) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x (.f64 y (*.f64 x y)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (.f64 x y))) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (neg.f64 (log1p.f64 (*.f64 x y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 x x)) (fma.f64 x y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 x y))) (/.f64 (neg.f64 (.f64 x x)) (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x x) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 y (.f64 x y))) (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64)))))
(fma.f64 (.f64 x (.f64 y (.f64 x y))) (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (.f64 x (.f64 y (.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (.f64 x (.f64 y (.f64 x y))) (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64))) (.f64 x y) (.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (*.f64 x x)) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 x (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal -1 binary64) (.f64 x y)))
(/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 (*.f64 x x))))
(pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (neg.f64 x) (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y))))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (.f64 x x)) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) x)
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64))) (.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 x x)))
(.f64 (/.f64 x (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(.f64 (/.f64 x (fma.f64 x (.f64 y (*.f64 x y)) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))))
(.f64 (/.f64 x (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64))) (.f64 (fma.f64 x y #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(.f64 (.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))))

eval177.0ms (2.3%)

Memory: 53.7MiB live, 503.2MiB allocated
Compiler: Compiled 36 135 to 2 174 computations (94% saved)

prune111.0ms (1.5%)

Memory

-9.5MiB live, 325.6MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 347	4	1 351
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 348	8	1 356

Accuracy

100.0%

Counts

1 356 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (neg.f64 y))))) x x)
✓	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
✓	88.9%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 y)) x)))
▶	79.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	49.1%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))
✓	52.9%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 90 to 53 computations (41.1% saved)

simplify183.0ms (2.4%)

Memory

1.5MiB live, 436.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (neg.f64 y)))))
cost-diff	0	(fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (neg.f64 y))))) x x)
cost-diff	448	(/.f64 y (*.f64 y (neg.f64 y)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 x (*.f64 x (neg.f64 y)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 y)) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 y)) x)))
cost-diff	0	(.f64 y (.f64 x y))
cost-diff	0	(.f64 x (.f64 y (*.f64 x y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 x y))))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))

Rules

4 676×	`lower-*.f32`
4 664×	`lower-*.f64`
3 720×	`lower-fma.f32`
3 712×	`lower-fma.f64`
3 536×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	161
0	45	137
1	90	134
2	197	134
3	560	134
4	1845	133
5	3707	133
0	8029	130

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.2%)

Memory

-36.6MiB live, 228.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.05078125	(fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (neg.f64 y))))) x x)
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
accuracy	29.340812984138047	(/.f64 y (*.f64 y (neg.f64 y)))
accuracy	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.09765625	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
accuracy	0.44228654825939956	(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
accuracy	0	(neg.f64 y)
accuracy	0.05078125	(fma.f64 x (*.f64 x (neg.f64 y)) x)
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 y)) x)))
accuracy	0.31758118569851146	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 y)) x))
accuracy	0.12109375	(.f64 y (.f64 x y))
accuracy	2.888363970528528	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
accuracy	3.3604973474302495	(.f64 x (.f64 y (*.f64 x y)))
accuracy	7.505942509815576	(/.f64 x (fma.f64 x y #s(literal 1 binary64)))

Samples

59.0ms

256×

valid

Compiler

Compiled 173 to 27 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 14.0ms (42.4% of total)

ival-div: 11.0ms (33.3% of total)

ival-add: 5.0ms (15.1% of total)

ival-sub: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

2.0MiB live, 41.0MiB allocated

Counts

17 → 372

Calls

Call 1

Inputs
#<alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 x y))))>
#<alt (.f64 x (.f64 y (*.f64 x y)))>
#<alt (.f64 y (.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 y)) x)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 y)) x))>
#<alt (fma.f64 x (*.f64 x (neg.f64 y)) x)>
#<alt (*.f64 x (neg.f64 y))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))>
#<alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64))>
#<alt (neg.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))>
#<alt (/.f64 y (*.f64 y (neg.f64 y)))>
#<alt (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (neg.f64 y))))) x x)>
#<alt (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (neg.f64 y)))))>
#<alt (/.f64 x (fma.f64 x y #s(literal 1 binary64)))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x y)) x)>
#<alt (/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)>
#<alt (/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ 1 x)>
#<alt (+ y (/ 1 x))>
#<alt (+ (* y (+ 1 (* x y))) (/ 1 x))>
#<alt (+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (- (* x (pow y 2)) (* -1 y))))>
#<alt (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))>
#<alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* x (- (* x (pow y 2)) y))))>
#<alt (* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* y (- (* (pow x 3) y) (pow x 2))))>
#<alt (+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))>

Calls

93 calls:

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

simplify339.0ms (4.5%)

Memory

24.9MiB live, 618.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 906×	`lower-fma.f64`
7 906×	`lower-fma.f32`
3 510×	`lower-*.f64`
3 510×	`lower-*.f32`
2 530×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	2875
1	729	2692
2	1763	2661
3	5722	2661
0	8416	2631

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 360

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
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(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(/ 1 x)
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(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))
x
(* x (+ 1 (* -1 (* x y))))
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(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
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(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
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x
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(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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x
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1
(+ 1 (* x y))
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(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
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1
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(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
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1
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x
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x
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(* -1 (* x y))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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x
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(/ 1 y)
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(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(/ 1 y)
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x
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(/ 1 y)
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(/ 1 y)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))

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

rewrite432.0ms (5.7%)

Memory

2.7MiB live, 831.0MiB allocated

Rules

12 012×	`lower-fma.f32`
12 004×	`lower-fma.f64`
4 926×	`lower-*.f32`
4 914×	`lower-*.f64`
2 506×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	134
0	45	146
1	189	129
2	1314	85
0	9309	85

Stop Event

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

Counts

17 → 2 531

Calls

Call 1

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

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

eval420.0ms (5.6%)

Memory: 36.0MiB live, 631.3MiB allocated
Compiler: Compiled 74 372 to 4 532 computations (93.9% saved)

prune307.0ms (4.1%)

Memory

4.1MiB live, 499.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	3 016	5	3 021
Fresh	0	0	0
Picked	4	0	4
Done	0	4	4
Total	3 020	9	3 029

Accuracy

100.0%

Counts

3 029 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x)
▶	72.5%	(fma.f64 (/.f64 x (neg.f64 y)) (.f64 x (.f64 y y)) x)
✓	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
✓	88.9%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	49.0%	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 x)))
▶	49.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (* x (neg y))) x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))))
✓	49.1%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))
✓	52.9%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 149 to 91 computations (38.9% saved)

simplify243.0ms (3.2%)

Memory

3.8MiB live, 358.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x y #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))
cost-diff	512	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 x))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 x)))
cost-diff	0	(.f64 x (.f64 x y))
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
cost-diff	0	#s(approx (/ 1 (+ (* x (* x (neg y))) x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (* x (neg y))) x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))))
cost-diff	0	(.f64 x (.f64 y y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 x (neg.f64 y))
cost-diff	1024	(fma.f64 (/.f64 x (neg.f64 y)) (.f64 x (.f64 y y)) x)
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x y))
cost-diff	0	#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x)
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) y))

Rules

4 578×	`lower-fma.f32`
4 572×	`lower-fma.f64`
3 556×	`lower-*.f32`
3 548×	`lower-*.f64`
1 624×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	180
0	53	175
1	96	170
2	195	170
3	513	161
4	1051	161
5	2342	161
6	4320	161
7	6209	161
8	7003	161
9	7179	161
10	7492	161
11	7700	161
0	8120	161

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (2.3%)

Memory

-10.9MiB live, 153.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.1015625	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 x))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 x)))
accuracy	0.44228654825939956	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))
accuracy	0.13671875	(.f64 x (.f64 x y))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (* x (neg y))) x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))))
accuracy	0.40351868569851146	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
accuracy	33.0900117727427	#s(approx (/ 1 (+ (* x (* x (neg y))) x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y))))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 y)
accuracy	8.367880434365537	(.f64 x (.f64 y y))
accuracy	13.08519052692635	(fma.f64 (/.f64 x (neg.f64 y)) (.f64 x (.f64 y y)) x)
accuracy	0	(*.f64 x y)
accuracy	0.09765625	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
accuracy	0.5750990482593996	(/.f64 #s(literal -1 binary64) (*.f64 x y))
accuracy	33.2134512969831	#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.05078125	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x)
accuracy	0.265625	(/.f64 x (/.f64 #s(literal -1 binary64) y))

Samples

71.0ms

256×

valid

Compiler

Compiled 160 to 33 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 34.0ms (61.9% of total)

ival-mult: 12.0ms (21.8% of total)

ival-add: 6.0ms (10.9% of total)

ival-neg: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

-7.5MiB live, 33.3MiB allocated

Counts

21 → 456

Calls

Call 1

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

Outputs
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (- (* x (pow y 2)) (* -1 y))))>
#<alt (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))>
#<alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x y)) x)>
#<alt (/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)>
#<alt (/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ 1 x)>
#<alt (+ y (/ 1 x))>
#<alt (+ (* y (+ 1 (* x y))) (/ 1 x))>
#<alt (+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x y)) x)>
#<alt (/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)>
#<alt (/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ 1 x)>
#<alt (+ y (/ 1 x))>
#<alt (+ (* y (+ 1 (* x y))) (/ 1 x))>
#<alt (+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))>
#<alt -1>
#<alt (- (* -1 (* x y)) 1)>
#<alt (- (* x (- (* -1 (* x (pow y 2))) y)) 1)>
#<alt (- (* x (- (* x (- (* -1 (* x (pow y 3))) (pow y 2))) y)) 1)>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)>
#<alt (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)>
#<alt (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 4)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) x))>
#<alt -1>
#<alt (- (* -1 (* x y)) 1)>
#<alt (- (* y (- (* -1 (* (pow x 2) y)) x)) 1)>
#<alt (- (* y (- (* y (- (* -1 (* (pow x 3) y)) (pow x 2))) x)) 1)>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)>
#<alt (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 3) (pow y 2))) (/ 1 (* (pow x 4) (pow y 3)))))) y)>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y)) (/ 1 x)) y))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (* x y)>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (* x y)>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

114 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(* y y)
1.0ms	y	@	inf	(/ -1 (* x (* x y)))
0.0ms	x	@	inf	(/ -1 (* x y))
0.0ms	y	@	0	(/ -1 (* x (* x y)))
0.0ms	y	@	inf	(/ -1 (* x y))

simplify350.0ms (4.6%)

Memory

26.4MiB live, 440.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 894×	`lower-fma.f64`
6 894×	`lower-fma.f32`
3 920×	`lower-*.f64`
3 920×	`lower-*.f32`
2 956×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	3422
1	601	3298
2	1485	3251
3	6320	3248
0	8421	3190

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 446

Calls

Call 1

Inputs
(* -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))
(* -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))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
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Outputs
(* -1 (* x y))
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(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* -1 (* (pow x 2) y))
(.f64 x (.f64 y (neg.f64 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* -1 (* (pow x 2) y))
(.f64 x (.f64 y (neg.f64 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* -1 (* (pow x 2) y))
(.f64 x (.f64 y (neg.f64 x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* -1 (* (pow x 2) y))
(.f64 x (.f64 y (neg.f64 x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
(/.f64 (fma.f64 x (.f64 y (fma.f64 (.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) (*.f64 x x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y))))) (*.f64 x x))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) (*.f64 x x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))))) x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ y (/ 1 x))
(+.f64 y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 y (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x x))))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 y y)))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (*.f64 x x))))) y)
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x x))))) y)
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 y y))))))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (*.f64 x x))))) y)
-1
#s(literal -1 binary64)
(- (* -1 (* x y)) 1)
(fma.f64 y (neg.f64 x) #s(literal -1 binary64))
(- (* x (- (* -1 (* x (pow y 2))) y)) 1)
(-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 y y) y)))
(- (* x (- (* x (- (* -1 (* x (pow y 3))) (pow y 2))) y)) 1)
(fma.f64 (neg.f64 x) (.f64 y (fma.f64 (.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) x)
(/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y (.f64 y y))))))) x)
(/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 4)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) x)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))))) (.f64 x x)))
-1
#s(literal -1 binary64)
(- (* -1 (* x y)) 1)
(fma.f64 y (neg.f64 x) #s(literal -1 binary64))
(- (* y (- (* -1 (* (pow x 2) y)) x)) 1)
(-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 y y) y)))
(- (* y (- (* y (- (* -1 (* (pow x 3) y)) (pow x 2))) x)) 1)
(fma.f64 (neg.f64 y) (fma.f64 (.f64 x x) (fma.f64 x (.f64 y y) y) x) #s(literal -1 binary64))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y)))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 y y))))))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 3) (pow y 2))) (/ 1 (* (pow x 4) (pow y 3)))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x (.f64 x x))))))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y)))) y)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 y y)))
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y)) (/ 1 x)) y))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 y y))))))) (*.f64 y y)))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 x y #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 x y #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 x y #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(* x (- y (/ 1 x)))
(fma.f64 x y #s(literal -1 binary64))
(* x (- y (/ 1 x)))
(fma.f64 x y #s(literal -1 binary64))
(* x (- y (/ 1 x)))
(fma.f64 x y #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 x y #s(literal -1 binary64))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 x y #s(literal -1 binary64))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 x y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 x y #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 x y #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 x y #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(* y (- x (/ 1 y)))
(fma.f64 x y #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 x y #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 x y #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 x y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 x y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 x y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -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)

rewrite348.0ms (4.6%)

Memory

4.3MiB live, 562.0MiB allocated

Rules

8 878×	`lower-fma.f32`
8 872×	`lower-fma.f64`
4 836×	`lower-*.f32`
4 828×	`lower-*.f64`
2 778×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	161
0	53	159
1	227	145
2	1482	141
0	8708	141

Stop Event

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

Counts

21 → 890

Calls

Call 1

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

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

eval166.0ms (2.2%)

Memory: -15.2MiB live, 335.7MiB allocated
Compiler: Compiled 22 978 to 2 338 computations (89.8% saved)

prune155.0ms (2.1%)

Memory

34.3MiB live, 233.0MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 375	1	1 376
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	1 376	9	1 385

Accuracy

100.0%

Counts

1 385 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) x x)
✓	72.5%	(fma.f64 (/.f64 x (neg.f64 y)) (.f64 x (.f64 y y)) x)
✓	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
✓	88.9%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
✓	49.0%	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
	49.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x))
✓	49.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (* x (neg y))) x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))))
✓	49.1%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))
✓	52.9%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 253 to 112 computations (55.7% saved)

regimes18.0ms (0.2%)

Memory

-18.1MiB live, 23.6MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x (neg.f64 y)) x x)

Calls

3 calls:

7.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-22.2MiB live, 15.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
74.8%	3	`x`
75.2%	3	`y`
83.3%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`y`
52.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.890397397040803e+168	1.0542812027924019e+173
0.0ms	-4.602363606860628e+145	-1.8222700605140235e+130

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify7.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	76
1	43	76
2	50	76
3	54	76
4	55	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 y (neg.f64 x)))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(fma.f64 (*.f64 y (neg.f64 x)) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 y (neg.f64 x)))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 y (neg.f64 x))))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

soundness421.0ms (5.6%)

Memory

-57.6MiB live, 215.3MiB allocated

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
4 738×	`lower-fma.f64`
4 738×	`lower-fma.f32`
4 354×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2428	332
5	5830	332
0	8058	332
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13

Stop Event

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

Compiler

Compiled 92 to 39 computations (57.6% saved)

preprocess59.0ms (0.8%)

Memory: 25.2MiB live, 112.4MiB allocated
Compiler: Compiled 134 to 46 computations (65.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (14.1%)

explain92.0ms (1.2%)

preprocess74.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize24.0ms (0.3%)

series5.0ms (0.1%)

simplify340.0ms (4.5%)

rewrite483.0ms (6.4%)

eval88.0ms (1.2%)

prune82.0ms (1.1%)

simplify348.0ms (4.6%)

localize89.0ms (1.2%)

series26.0ms (0.3%)

simplify338.0ms (4.5%)

rewrite422.0ms (5.6%)

eval177.0ms (2.3%)

prune111.0ms (1.5%)

simplify183.0ms (2.4%)

localize94.0ms (1.2%)

series16.0ms (0.2%)

simplify339.0ms (4.5%)

rewrite432.0ms (5.7%)

eval420.0ms (5.6%)

prune307.0ms (4.1%)

simplify243.0ms (3.2%)

localize173.0ms (2.3%)

series25.0ms (0.3%)

simplify350.0ms (4.6%)

rewrite348.0ms (4.6%)

eval166.0ms (2.2%)

prune155.0ms (2.1%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness421.0ms (5.6%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18